Status  Confirmed 
Seminar Series  STRLPTENSHE 
Subjects  hepth 
Date  Tuesday 29 May 2018 
Time  11:30 
Institute  LPTENS 
Seminar Room  LPTENS library 
Speaker's Last Name  Nian 
Speaker's First Name  Jun 
Speaker's Email Address  jun [dot] nian [at] hotmail [dot] de 
Speaker's Institution  Riemann Center for Geometry and Physics 
Title  Gravity dual of 2d N=(2,2)* gauge theories and integrable models 
Abstract  Nekrasov and Shatashvili have found a large class of gauge theories in the Omega background, which are dual to some quantum integrable models. Later, the string dual was constructed by Hellerman, Orlando and Reffert in a series of papers. Alternatively, one can also construct the gravity dual of these theories using the gauge/gravity correspondence. In this talk, we will discuss the simplest example, the gravity dual of the 2d N=(2,2)* supersymmetric YangMills (SYM) theory, which can be viewed as the mass deformation of the 2d N=(4,4) SYM theory and is dual to the simplest integrable model, the nonlinear Schrödinger equation. The technique is similar to the construction of the 4d N=2* SYM theory. Eventually, we will identify the mass deformation parameter with the twisted mass and find its counterpart on the gravity side, and we will also see the correspondence between solitons in the integrable model and Dbranes. Possible generalizations to the full NekrasovShatashvili duality will also be discussed. This talk is based on the paper arXiv:1706.09016 and some work in progress. 
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