Davide Gaiotto

N=2 dualities

A bstractWe study the generalization of S-duality and Argyres-Seiberg duality for a large class of Nu2009=u20092 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the “very strongly coupled” regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of Nu2009=u20092 theories defined by wrapping M5 branes over a Riemann surface.

S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the process, we find that S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and we analyze the IR behavior of large classes of quiver gauge theories.

Four-dimensional wall-crossing via three-dimensional field theory

We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the BPS instanton corrections to the hyperkähler metric of the moduli space of the theory on

Supersymmetric Boundary Conditions in \mathcal{N}=4 Super Yang-Mills Theory

{mathbb R^3 times S^1}

Knot invariants from four-dimensional gauge theory

. The wall-crossing formula reduces to the statement that this metric is continuous. Our construction of the metric uses a four-dimensional analogue of the two-dimensional tt* equations.

Perturbing gauge/gravity duals by a Romans mass

In this note we study spin chain operators in the N = 6 Chern-Simons-matter theory recently proposed by Aharony, Bergman, Jafferis and Maldacena to be dual to type IIA string theory in AdS4 × CP 3 . We study the two-loop dilatation operator in the gauge theory, and compare to the Penrose limit on the string theory side.

Spectral Networks and Snakes

AbstractWe study boundary conditions in n

On 6d N = (2, 0) theory compactified on a Riemann surface with finite area

{mathcal{N}}=4