Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space

Abstract

We study the effective actions for massive rank-2 and rank-3 antisymmetric tensor field models in curved space-time. These models are classically equivalent to massive vector field and massive scalar field with minimal coupling to gravity respectively. We prove that effective action for massive rank-2 antisymmetric tensor field is exactly equal to one for massive vector field and effective action for massive rank-3 antisymmetric tensor field is exactly equal to one for massive scalar field. Prove is based on an identity for mass-dependent zeta-functions associated with Laplacians acting on $p$-forms.

8 pages, REVTeX file

References in corpus (9)

• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Worldline approach to vector and antisymmetric tensor fields
• N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes
• Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times
• Worldline approach to vector and antisymmetric tensor fields II
• On massive tensor multiplets
• Dyonic Masses from Conformal Field Strengths in D even Dimensions
• Duality and Massive Gauge Invariant Theories
• Massive Tensor Multiplets in N=1 Supersymmetry

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