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Generalized indices for N = 1 theories in four-dimensions

Generalized indices for N = 1 theories in four-dimensions
Generalized indices for N = 1 theories in four-dimensions
We use localization techniques to calculate the Euclidean partition functions for N = 1 theories on four-dimensional manifolds M of the form S 1 × M 3, where M 3 is a circle bundle over a Riemann surface. These are generalizations of the N = 1 indices in four-dimensions including the lens space index. We show that these generalized indices are holomorphic functions of the complex structure moduli on M. We exhibit the deformation by background flat connection.
1126-6708
Nishioka, Tatsuma
29c2317b-e45e-4283-ba49-b18f5c4a350e
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Nishioka, Tatsuma
29c2317b-e45e-4283-ba49-b18f5c4a350e
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e

Nishioka, Tatsuma and Yaakov, I. (2014) Generalized indices for N = 1 theories in four-dimensions. Journal of High Energy Physics, 2014 (12), [150]. (doi:10.1007/JHEP12(2014)150).

Record type: Article

Abstract

We use localization techniques to calculate the Euclidean partition functions for N = 1 theories on four-dimensional manifolds M of the form S 1 × M 3, where M 3 is a circle bundle over a Riemann surface. These are generalizations of the N = 1 indices in four-dimensions including the lens space index. We show that these generalized indices are holomorphic functions of the complex structure moduli on M. We exhibit the deformation by background flat connection.

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Generalized indices for N = 1 theories in four-dimensions - Accepted Manuscript
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Accepted/In Press date: 24 November 2014
Published date: 22 December 2014

Identifiers

Local EPrints ID: 474534
URI: http://eprints.soton.ac.uk/id/eprint/474534
DOI: doi:10.1007/JHEP12(2014)150
ISSN: 1126-6708
PURE UUID: 3efec22b-a127-4b4f-a544-9459022003c0
ORCID for I. Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

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Date deposited: 23 Feb 2023 17:58
Last modified: 17 Mar 2024 04:17

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Author: Tatsuma Nishioka
Author: I. Yaakov ORCID iD

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