Transport Coefficients at Zero Temperature from Extremal Black Holes (2009)
Edalati, Mohammad, Jottar, Juan I., Leigh, Robert G.
Using the AdS/CFT correspondence we study transport coefficients of a strongly-coupled (2 +1)-dimensional field theory at {\it zero} temperature and finite charge density. The field theory under...
Fermions and the Sch/nrCFT Correspondence (2009)
Leigh, Robert G., Hoang, Nam Nguyen
We consider the problem of Dirac fermions propagating on a spacetime of Schr\"odinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the...
Mottness in High-Temperature Copper-Oxide Superconductors (2009)
Phillips, Philip, Choy, Ting-Pong, Leigh, Robert G.
The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with...
Real-Time Correlators and Non-Relativistic Holography (2009)
Leigh, Robert G., Hoang, Nam Nguyen
We consider Lorentzian correlation functions in theories with non-relativistic Schrodinger symmetry. We employ the method developed by Skenderis and van Rees in which the contour in complex time...
Open Wilson Lines and Chiral Condensates in Thermal Holographic QCD (2008)
Argyres, Philip C., Edalati, Mohammad, Leigh, Robert G., Vazquez-Poritz, Justin F.
We investigate various aspects of a proposal by Aharony and Kutasov arXiv:0803.3547 [hep-th] for the gravity dual of an open Wilson line in the Sakai-Sugimoto model or its non-compact version. In...
Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography (2008)
Leigh, Robert G., Hoang, Nam N., Petkou, Anastasios C.
We study four dimensional gravity with a negative cosmological constant deformed by the Nieh-Yan torsional topological invariant with a spacetime-dependent coefficient. We find an exact solution of...
Transversely-intersecting D-branes at finite temperature and chiral phase transition (2008)
Edalati, Mohammad, Leigh, Robert G., Hoang, Nam Nguyen
We consider Sakai-Sugimoto like models consisting of Dq-Dp-anti-Dp-branes where flavor Dp and anti-Dp-branes transversely intersect color Dq-branes along two (r+1)-dimensional subspaces. For some...
Phillips, Philip, Choy, Ting-Pong, Leigh, Robert G.
We show that doped Mott insulators exhibit a collective degree of freedom, not made out of the elemental excitations, because the number of single-particle addition states at low energy per electron...
Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids (2008)
Dong, Shiying, Fradkin, Eduardo, Leigh, Robert G., Nowling, Sean
We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of...
On the spectrum of pure Yang-Mills theory (2008)
Freidel, Laurent, Leigh, Robert G., Minic, Djordje, Yelnikov, Alexandr
In this note we discuss the wave functional approach to the spectrum of pure Yang-Mills theory in 2+1 and 3+1 dimensions by highlighting the issues of dynamical mass generation and the role played by...
Hidden Charge 2e Boson: Experimental Consequences for Doped Mott Insulators (2007)
Choy, Ting-Pong, Leigh, Robert G., Phillips, Philip
We show here that many of the normal state properties of the cuprates can result from the new charge 2e bosonic field which we have recently (Phys. Rev. Lett. {\bf 99}, 46404 (2007) and Phys. Rev. B...
Exact Integration of the High Energy Scale in Doped Mott Insulators (2007)
Choy, Ting-Pong, Leigh, Robert G., Phillips, Philip, Powell, Philip D.
We expand on our earlier work (cond-mat/0612130, Phys. Rev. Lett. {\bf 99}, 46404 (2007)) in which we constructed the exact low-energy theory of a doped Mott insulator by explicitly integrating...
Gravitational Duality Transformations on (A)dS4 (2007)
Leigh, Robert G., Petkou, Anastasios C.
We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant...
Hidden Charge 2e Boson in Doped Mott Insulators: Field Theory of Mottness (2006)
Leigh, Robert G., Phillips, Philip, Choy, Ting-Pong
We construct the low energy theory of a doped Mott insulator, such as the high-temperature superconductors, by explicitly integrating over the degrees of freedom far away from the chemical potential....
Towards a solution of pure Yang-Mills theory in 3+1 dimensions (2006)
Freidel, Laurent, Leigh, Robert G., Minic, Djordje
We discuss an analytic approach towards the solution of pure Yang-Mills theory in 3+1 dimensional spacetime. The approach is based on the use of local gauge invariant variables in the Schr\"odinger...
On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions (2006)
Leigh, Robert G., Minic, Djordje, Yelnikov, Alexandr
We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial...
The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold (2006)
Kawai, Shinsuke, Keski-Vakkuri, Esko, Leigh, Robert G., Nowling, Sean
We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and...
Fractional S-branes on a Spacetime Orbifold (2006)
Kawai, Shinsuke, Keski-Vakkuri, Esko, Leigh, Robert G., Nowling, Sean
Unstable D-branes are central objects in string theory, and exist also in time-dependent backgrounds. In this paper we take first steps to studying brane decay in spacetime orbifolds. As a concrete...
Solving Pure Yang Mills in 2+1 Dimensions (2005)
Leigh, Robert G., Minic, Djordje, Yelnikov, Alexandr
We analytically compute the spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by our computation of a new non-trivial...
Brane Decay from the Origin of Time (2005)
Kawai, Shinsuke, Keski-Vakkuri, Esko, Leigh, Robert G., Nowling, Sean
We present a novel scenario where matter in a spacetime originates from a decaying brane at the origin of time. The decay could be considered as a ``Big Bang''-like event at X^0=0. The closed string...
Towards the QCD String: 2+1 dimensional Yang-Mills theory in the planar limit (2004)
Leigh, Robert G., Minic, Djordje
We study the large N (planar) limit of pure SU(N) 2+1 dimensional Yang-Mills theory (YM_{2+1}) using a gauge-invariant matrix parameterization introduced by Karabali and Nair. This formulation...
SL(2,Z) Action on Three-Dimensional CFTs and Holography (2003)
Leigh, Robert G., Petkou, Anastasios C.
We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the...
Deconstructing the Cosmological Constant (2003)
Jejjala, Vishnu, Leigh, Robert G., Minic, Djordje
Deconstruction provides a novel way of dealing with the notoriously difficult ultraviolet problems of four-dimensional gravity. This approach also naturally leads to a new perspective on the...
The Taming of Closed Time-like Curves (2003)
Biswas, Rahul, Keski-Vakkuri, Esko, Leigh, Robert G., Nowling, Sean, Sharpe, Eric
We consider a $R^{1,d}/Z_2$ orbifold, where $Z_2$ acts by time and space reversal, also known as the embedding space of the elliptic de Sitter space. The background has two potentially dangerous...
Deconstruction and Holography (2003)
Jejjala, Vishnu, Leigh, Robert G., Minic, Djordje
It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection relating the UV scale to the radius of the effective extra...
The Cosmological Constant and the Deconstruction of Gravity (2002)
Jejjala, V, Leigh, Robert G, Minic, D
Witten has presented an argument for the vanishing of the cosmological constant in 2+1 dimensions. This argument is crucially tied to the specific properties of (2+1)-dimensional gravity. We argue...
The Cosmological Constant and the Deconstruction of Gravity (2002)
Jejjala, Vishnu, Leigh, Robert G., Minic, Djordje
Witten has presented an argument for the vanishing of the cosmological constant in 2+1 dimensions. This argument is crucially tied to the specific properties of (2+1)-dimensional gravity. We argue...
Non-commutative Chern-Simons for the Quantum Hall System and Duality (2002)
Fradkin, Eduardo, Jejjala, Vishnu, Leigh, Robert G.
The quantum Hall system is known to have two mutually dual Chern-Simons descriptions, one associated with the hydrodynamics of the electron fluid, and another associated with the statistics....
PP-Waves and Holography (2002)
Leigh, Robert G., Okuyama, Kazumi, Rozali, Moshe
We consider aspects of holography in the $pp$-wave limit of $AdS_5\times S5$. This geometry contains two $\RR4$'s, one obtained from $AdS_5$ directions, and the other from the $S 5$. We argue that...
De Sitter Holography and the Cosmic Microwave Background (2002)
Larsen, Finn, Leigh, Robert G.
We interpret cosmological evolution holographically as a renormalisation group flow in a dual euclidean field theory, as suggested by the conjectured dS/CFT correspondence. Inflation is described by...
De Sitter Holography and the Cosmic Microwave Background (2002)
Larsen, Finn, Van Der Schaar, Jan Pieter, Leigh, Robert G.
We interpret cosmological evolution holographically as a renormalisation group flow in a dual Euclidean field theory, as suggested by the conjectured dS/CFT correspondence. Inflation is described by...
Resolution of Stringy Singularities by Non-commutative Algebras (2001)
Berenstein, David, Leigh, Robert G.
In this paper we propose a unified approach to (topological) string theory on certain singular spaces in their large volume limit. The approach exploits the non-commutative structure of D-branes, so...
The Standard Model on a D-brane (2001)
Berenstein, David, Jejjala, Vishnu, Leigh, Robert G.
We present a consistent string theory model which reproduces the Standard Model, consisting of a D3-brane at a simple orbifold singularity. We study some simple features of the phenomenology of the...
Observations on non-commutative field theories in coordinate space (2001)
Berenstein, David, Leigh, Robert G.
We discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The...
D-branes on Singularities: New Quivers from Old (2000)
Berenstein, David, Jejjala, Vishnu, Leigh, Robert G.
In this paper we present simplifying techniques which allow one to compute the quiver diagrams for various D-branes at (non-Abelian) orbifold singularities with and without discrete torsion. The main...
Non-Commutative Calabi-Yau Manifolds (2000)
Berenstein, David, Leigh, Robert G.
We discuss aspects of the algebraic geometry of compact non-commutative Calabi-Yau manifolds. In this setting, it is appropriate to consider local holomorphic algebras which can be glued together...
Non-Commutative Moduli Spaces, Dielectric Tori and T-duality (2000)
Berenstein, David, Jejjala, Vishnu, Leigh, Robert G.
We review and extend recent work on the application of the non-commutative geometric framework to an interpretation of the moduli space of vacua of certain deformations of N=4 super Yang-Mills...
Berenstein, David, Jejjala, Vishnu, Leigh, Robert G.
We study marginal and relevant supersymmetric deformations of the N=4 super-Yang-Mills theory in four dimensions. Our primary innovation is the interpretation of the moduli spaces of vacua of these...
Discrete Torsion, AdS/CFT and duality (2000)
Berenstein, David, Leigh, Robert G.
We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most...
On Inherited Duality in N=1 d=4 Supersymmetric Gauge Theories (1999)
Argyres, Philip C., Intriligator, Ken, Leigh, Robert G., Strassler, Matthew J.
Four-dimensional N=1 supersymmetric gauge theories with two adjoints and a quartic superpotential are believed, from AdS/CFT duality, to have SL(2,Z) invariance. In this note we review an old,...
Quantization of Superstrings in Ramond-Ramond Backgrounds (1999)
Berenstein, David, Leigh, Robert G.
We present a perturbative study of Ramond-Ramond backgrounds in the NSR formalism. We show how to perform sigma-model computations and discuss in detail the structure of the BRST charge and...
Superstring Perturbation Theory and Ramond-Ramond Backgrounds (1999)
Berenstein, David, Leigh, Robert G.
We consider perturbative Type II superstring theory in the covariant NSR formalism in the presence of NSNS and RR backgrounds. A concrete example that we have in mind is the geometry of D3-branes...
Spacetime supersymmetry in $AdS_3$ backgrounds (1999)
Berenstein, David, Leigh, Robert G.
We construct string target spacetimes with AdS_3 x X geometry, which have an N=2 spacetime superconformal algebra. X is found to be a U(1) fibration over a manifold which is a target for an N=2...
String Junctions and Bound States of Intersecting Branes (1998)
Berenstein, David, Leigh, Robert G.
We study four-dimensional black hole configurations which result from wrapping M5-branes on a Calabi-Yau manifold, as well as U-dual realizations. Our aim is to understand the microscopic degrees of...
Brane Boxes, Anomalies, Bending and Tadpoles (1998)
Leigh, Robert G., Rozali, Moshe
Certain classes of chiral four-dimensional gauge theories may be obtained as the worldvolume theories of D5-branes suspended between networks of NS5-branes, the so-called brane box models. In this...
The Large N Limit of the (2,0) Superconformal Field Theory (1998)
Leigh, Robert G., Rozali, Moshe
We discuss the large N limit of the (2,0) field theory in six dimensions. We do this by assuming the validity of Maldacena's conjecture of the correspondence between large N gauge theories and...
A Note on Six-Dimensional Gauge Theories (1997)
Leigh, Robert G., Rozali, Moshe
We study the new ``gauge'' theories in 5+1 dimensions, and their non-commutative generalizations. We argue that the $\theta$-term and the non-commutative torus parameters appear on an equal footing...
Unity of Supersymmetry Breaking Models (1997)
Leigh, Robert G, Randall, Lisa, Rattazzi, Riccardo
We examine the models with gauge group U(1)^{k-1}\times\prod_{i=1}^k SU(n_i), which are obtained from decomposing the supersymmetry breaking model of Affleck, Dine and Seiberg containing an...
Unity of Supersymmetry Breaking Models (1997)
Leigh, Robert G., Randall, Lisa, Rattazzi, Riccardo
We examine the models with gauge group U(1)^{k-1}\times\prod_{i=1}^k SU(n_i), which are obtained from decomposing the supersymmetry breaking model of Affleck, Dine and Seiberg containing an...
D-Branes, Moduli and Supersymmetry (1996)
Balasubramanian, Vijay, Leigh, Robert G.
We study toroidal compactifications of Type II string theory with D-branes and nontrivial antisymmetric tensor moduli and show that turning on these fields modifies the supersymmetry projections...
Accidental Symmetries and N=1 Duality in Supersymmetric Gauge Theory (1996)
Leigh, Robert G., Strassler, Matthew J.
We note that the accidental symmetries which are present in some examples of duality imply the existence of continuously infinite sets of theories with the same infrared behavior. These sets...
Branes Intersecting at Angles (1996)
Berkooz, Micha, Douglas, Michael R., Leigh, Robert G.
We show that configurations of multiple D-branes related by SU(N) rotations will preserve unbroken supersymmetry. This includes cases in which two D-branes are related by a rotation of arbitrarily...
Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua (1996)
Berkooz, Micha, Leigh, Robert G., Polchinski, Joseph, Schwarz, John H., Seiberg, Nathan, Witten, Edward
We consider various aspects of compactifications of the Type I/heterotic $Spin(32)/\Z_2$ theory on K3. One family of such compactifications includes the standard embedding of the spin connection in...
Duality of Sp(2N$_{c}$) and SO(N$_{c}$) supersymmetric gauge theories with adjoint matter (1995)
Leigh, Robert G, Strassler, M J
We discuss electric-magnetic duality in two new classes of supersymmetric Yang-Mills theories. The models have gauge group Sp(2\nc) or SO(\nc) with matter in both the adjoint and defining...
Supersymmetry, Finite Temperature and Gravitino Production in the Early Universe (1995)
Leigh, Robert G., Rattazzi, Riccardo
We reconsider post-inflation gravitino production, in the context of hidden sector supergravity models. We discuss the possible role of supersymmetry breaking from finite temperature effects in...
Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory (1995)
Leigh, Robert G., Strassler, Matthew J.
We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying...