High Energy Physics - Theory
[Submitted on 23 Mar 2018 (v1), last revised 26 Jul 2018 (this version, v2)]
Title:Twisted Massive Non-Compact Models
View PDFAbstract:We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N=2 superconformal Liouville theory with relevant operators, and twist the theory into a topological quantum field theory. These theories can be thought of as twisted Landau-Ginzburg models with negative power superpotential. We determine the structure constants of the chiral ring and therefore all correlators of these topological quantum field theories. We provide general formulas for the deformed operators of given charge as well as explicit solutions to the WDVV equations. Secondly, we analyze the topological anti-topological sector of the theory. We compute the metric at the conformal point through localization. Moreover, we show that the topological-anti-topological fusion differential equations on the metric in a family of non-compact theories takes the affine Toda form. The metric as a function of the family of theories is identical to the metric in certain deformed compact models. For a negative cubic power Landau-Ginzburg superpotential, for instance, it is governed by the Painlevé III differential equation.
Submission history
From: Songyuan Li [view email][v1] Fri, 23 Mar 2018 09:42:08 UTC (29 KB)
[v2] Thu, 26 Jul 2018 08:53:21 UTC (30 KB)
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