Finite field-dependent BRST symmetry for ABJM theory inN=1superspace

Abstract

In this paper we analyze the ABJM theory in N = 1 superspace. Firstly we study the linear and non-linear BRST transformations for the ABJM theory. Then we derive the finite field dependent version of these BRST (FFBRST) transformations. Further we show that such FFBRST transformations relate the generating functional in linear gauge to the generating functional in the non-linear gauge of ABJM theory.

Non-perturbative to perturbative QCD via the FFBRST

“…Group index a is summed over. This FFBRST transformation is particularly different among others [15][16][17][18][19][20][21][22][23][24][25][26][27][28] due to the unique form of transformations (11) and by the fact that the field dependent parameter in Eq. (18) (18), under which the measure changes…”

“…They are thus capable of connecting generating functionals of two different BRST invariant theories and have been used to study different gauge field theoretic models with various effective actions [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In this paper we construct an appropriate FFBRST transformation to establish the connection at the level of generating functionals between the recently introduced quadratic gauge with substantial implications in the non-perturbative QCD [7][8][9] and the familiar Lorenz gauge which is suitable to describe the perturbative QCD.…”

IR finite graviton propagators in de Sitter spacetime

“…This can be done using the FFBRST transformations, as the FFBRST transformations are a symmetry of the generating functional and not of the effective action which is obtained by adding the gauge fixing and ghosts terms to the original action. In fact, it is this property of the FFBRST transformation that has made it possible to use the FFBRST transformation for analsying various interesting physical systems [30,32,33,34,35,36,37,38,39,40,41,42]. Thus, motivated by such uses of the FFBRST transformations, we will analyse the occurrence of a certain kind of IR divergences in this paper.…”

The conformal gauge to the derivative gauge for worldsheet gravity

“…The generalization of BRST symmetry, known as finite fielddependent BRST (FFBRST) transformation, has been studied firstly in [9]. Further enormous applications in the diverse gauge theories [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] have been found. For instance, more recently, the gauge-fixing and ghost terms corresponding to Landau and maximal Abelian gauge have been produced for the Cho-Faddeev-E-mail addresses: sudhakerupadhyay@gmail.com, sudhaker@boson.bose.res.in.…”