Introduction to Gauge / Gravity Duality Lecture 1 Nick

Introduction to Gauge/Gravity Duality

Higher-Spin Gauge Fields and Duality

We review the construction of free gauge theories for gauge fields in arbitrary representations of the Lorentz group in D dimensions. We describe the multi-form calculus which gives the natural geometric framework for these theories. We also discuss duality transformations that give different field theory representations of the same physical degrees of freedom, and discuss the example of gravit...

Nonperturbative Quantum Field Theory on the Lattice

These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics; lecture 2 (Ch. 3): Abelian duality with a lattice regulator; (Ch. 4) simple lattice intuition; lecture 3 (Ch. 5): standard methods (and results) for hadron spectroscopy; lecture 4 (Ch. 6): bare actions...

What can gauge-gravity duality teach us about condensed matter physics?

I discuss the impact of gauge-gravity duality on our understanding of two classes of systems: conformal quantum matter and compressible quantum matter. The first conformal class includes systems, such as the boson Hubbard model in two spatial dimensions, which display quantum critical points described by conformal field theories. Questions associated with non-zero temperature dynamics and trans...

ar X iv : g r - qc / 0 60 20 37 v 1 1 0 Fe b 20 06 1 Gauge / gravity duality

We review the emergence of gravity from gauge theory in the context of AdS/CFT duality. We discuss the evidence for the duality, its lessons for gravitational physics, generalizations, and open questions.