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

Abstract

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.

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

References in corpus (4)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Observing dynamical SUSY breaking with lattice simulation

Cited by in corpus (4)

• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• What lattice theorists can do for superstring/M-theory
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills