Chern–Simons theory in SIM(1) superspace

We develop a BRST symmetric gaugeon formalism for the Abelian rank-2 antisymmetric tensor field in the Lorentz breaking framework. The Lorentz breaking is achieved here by considering a proper subgroup of Lorentz group together with translation. In this scenario, the gaugeon fields together with the standard fields of the Abelian rank-2 antisymmetric tensor theory get mass. In order to develop the gaugeon formulation for this theory in VSR, we first introduce a set of dipole vector fields as a quantum gauge freedom to the action. In order to quantize the dipole vector fields, the VSR-modified gauge-fixing and corresponding ghost action are constructed as the classical action is invariant under a VSR-modified gauge transformation. Further, we present a Type I gaugeon formalism for the Abelian rank-2 antisymmetric tensor field theory in VSR. The gauge structures of Fock space constructed with the help of BRST charges are also discussed.

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“…Now, using Noether's theorem, we calculate the conserved charge (Q DFP ) corresponding to the BRST transformation (24). This is given by…”

Section: Brst Quantization Of Dipole Vector Field In Vsrmentioning

confidence: 99%

Lorentz-violating gaugeon formalism for rank-2 tensor theory

2019

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“…of connections Γ α , Γ αβ [45]. The projection | θ + =0 removes the dependence on the anticommuting coordinate θ + , which does not parametrize the SIM (1) superspace.…”

Section: Chern-simons Theory In the Sim(1) Superspacementioning

confidence: 99%

“…The Chern-Simons theory on a manifold without a boundary in SIM (1) superspace has already been discussed in [45]. The action that has been obtained corresponds to S cs bulk , and it is given by…”

Section: Chern-simons Theory In the Sim(1) Superspacementioning

confidence: 99%

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Supersymmetric Chern–Simons theory in presence of a boundary in the light-like direction

Vohánka

Faizal

2016

Nuclear Physics B

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In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by n · x = 0, where n is a light-like vector. It will be demonstrated that this boundary is preserved under the action of the SIM (1) subgroup of the Lorentz group. Furthermore, the presence of this boundary will break half of the supersymmetry of the original theory. As the original Chern-Simons theory had N = 1 supersymmetry in absence of a boundary, it will only have N = 1/2 supersymmetry in presence of this boundary. We will also observe that the Chern-Simons theory can be made gauge invariant by introducing new degrees of freedom on the boundary. The gauge transformation of these new degrees of freedom will exactly cancel the boundary term obtained from the gauge transformation of the Chern-Simons theory. * vohanka@physics.muni.cz † f2mir@uwaterloo.ca

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“…As it concerns our interest, VSR-effects have been discussed in the context of electromagnetic theories: Abelian and non-Abelian Maxwell theories [18,19], Chern-Simons theory [20][21][22][23],…”

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confidence: 99%

Axion mass bound in very special relativity

Bufalo

Upadhyay

2017

Physics Letters B

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In this paper we propose a very special relativity (VSR)-inspired description of the axion electrodynamics. This proposal is based upon the construction of a proper study of the SIM(2)-VSR gauge-symmetry. It is shown that the VSR nonlocal effects give a health departure from the usual axion field theory. The axionic classical dynamics is analysed in full detail, first by a discussion of its solution in the presence of an external magnetic field. Next, we compute photon-axion transition in VSR scenario by means of Primakoff interaction, showing the change of a linearly polarized light to a circular one. Afterwards, duality symmetry is discussed in the VSR framework.

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Chern–Simons theory in SIM(1) superspace

Cited by 19 publications

References 97 publications

Lorentz-violating gaugeon formalism for rank-2 tensor theory

Lorentz-violating gaugeon formalism for rank-2 tensor theory

Supersymmetric Chern–Simons theory in presence of a boundary in the light-like direction

Axion mass bound in very special relativity

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