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

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.

preprint2011arXivOpen access
Junji KatoYoshi KondoAkiko Miyake
hep-th
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Junji KatoYoshi KondoAkiko Miyake

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