Deformed Super-Yang-Mills in Batalin-Vilkovisky Formalism
Mir Faizal
TL;DR
This paper investigates a three-dimensional super-Yang-Mills theory on deformed superspace with boundaries, demonstrating boundary undeformation under specific bulk deformations and analyzing the quantum consistency within the BV formalism.
Contribution
It introduces a method to obtain boundary undeformed super-Yang-Mills theory from a deformed bulk using non-vanishing coordinate commutators and extends the analysis to the quantum BV formalism.
Findings
Boundary undeformation achieved via bulk deformation
Quantum consistency confirmed in BV formalism
Deformation characterized by non-vanishing boson-fermion commutator
Abstract
In this paper we will analyse a three dimensional super-Yang-Mills theory on a deformed superspace with boundaries. We show that it is possible to obtain an undeformed theory on the boundary if the bulk superspace is deformed by imposing a non-vanishing commutator between bosonic and fermionic coordinates. We will also analyse this theory in the Batalin-Vilkovisky (BV) formalism and show that these results also hold at a quantum level.
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