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

Understand

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.