Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution

Details Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution Mass deformation of twisted super Yang-Mills theory with fuzzy sphere solution

2011-04-07

arxiv.org/abs/1104.1252v2

JHEP 1109:019,2011

Physics

High Energy Physics

High Energy Physics - Theory

30 pages. One paragraph changed in the introduction and some references added

Scientific paper

10.1007/JHEP09(2011)019

We investigate mass deformation of twisted superalgebra of U(N) super Yang-Mills (SYM) theories in several models and in several dimensions, motivated by the method formulated in [1]. We show that there are several ways to perform the deformation, if a model possesses four scalar supercharges except for two dimensional B-model. We also evaluate classical vacuum solutions of the potentials of scalar fields for each model. We then find that it is always possible to find fuzzy sphere solution in the theories.

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