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Witten indices of abelian M5 brane on R X S-5

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Title
Witten indices of abelian M5 brane on R X S-5
Author(s)
Dongsu Bak; Andreas Gustavsson
Publication Date
2016-11
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2016, no.11, pp.177 -
Publisher
SPRINGER
Abstract
Witten indices and partition functions are computed for abelian 6d tensor and hypermultiplets on R X S-5 in Lorentzian signature in an R gauge field background which preserves some supersymmetry. We consider a general supersymmetric squashing that also admits squashing of the Hopf fiber. Wick rotation to Euclidean M5 brane amounts to Wick rotation of squashing parameters and the hypermultiplet mass parameter. We compute Casimir energies for tensor and hypermultiplets separately for general squashing, and match these with the corresponding gravitational anomaly polynomials. We extract Witten indices on R X CP2 and find that this is zero, again matching with the vanishing anomaly polynomial on an odd dimensional space. (c) The Authors.
URI
http://pr.ibs.re.kr/handle/8788114/3237
DOI
10.1007/JHEP11(2016)177
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
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