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Covariant quantisation of tensor multiplet models
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abstract
The Batalin-Vilkovisky formalism is applied to quantise the ${\cal N}=1$ supersymmetric generalisation of the Freedman-Townsend (FT) model, which was proposed by Lindstr\"om and Ro\v{c}ek in 1983 in Minkowski superspace and is lifted to a supergravity background in this paper. This super FT theory describes a non-Abelian tensor multiplet and is known to be classically equivalent to a supersymmetric nonlinear sigma model. Using path integral considerations, we demonstrate that this equivalence holds at the quantum level in the sense that the quantum supercurrents in the two theories coincide. A modified Faddeev-Popov procedure is employed to quantise models for the ${\cal N}=2$ tensor multiplet in harmonic superspace. The obtained results agree with those derived by applying the Batalin-Vilkovisky scheme within the harmonic superspace setting.
Forward citations
Cited by 2 Pith papers
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Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.
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Adjustment of Faddeev-Popov quantization to reducible gauge theories: antisymmetric tensor fermion in $AdS_d$ space
A nested Faddeev-Popov procedure is derived for first-stage reducible gauge theories and yields the one-loop effective action of the rank-2 antisymmetric fermion in AdS_d as a ratio of Dirac-type functional determinants.
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