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Résumé |
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 Yang-Mills (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 D-branes. Possible generalizations to the full
Nekrasov-Shatashvili duality will also be discussed. This talk is based on the paper
arXiv:1706.09016 and some work in progress. |
