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Gauge dependence of the effective action in multidimensional supergravities
Affiliation:1. Department of Biotechnology, Quaid-i-Azam University, Islamabad 45320, Pakistan;2. Department of Biotechnology, University of Malakand, Chakdara, KP, Pakistan;3. Department of Biotechnology, Faculty of Chemical and Life Sciences, Abdul Wali Khan University Mardan (AWKUM), Mardan 23390, Pakistan
Abstract:The problem of gauge dependence of the effective action in multidimensional supergravities (SG) is investigated. As an example d=5 SGs are considered. The convenient gauge-dependent effective action (EA) and gauge-invariant Vilkovisky-De Witt EA in d=5, N=2, 4, 6, 8 SGs on the background R4×S1 with accuracy to linear curvature terms are obtained. The convenient three-gauge-parameter-dependent EA in d=5, N=2 gauged SG on the background R4×S1 is calculated. The Vilkovisky-De Witt EA in d=5 SGs on the background R4×S1 at non-zero temperature is also obtained.
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