The Chiral Multiplet on and Supersymmetric Localization
Nov 11, 201338 pages
Published in:
- JHEP 03 (2014) 040
- Published: 2014
e-Print:
- 1311.2430 [hep-th]
Report number:
- WIS-12-13-OCT-DPPA
View in:
Citations per year
Abstract: (arXiv)
We compute the supersymmetric partition function of an chiral multiplet coupled to an external Abelian gauge field on complex manifolds with topology. The result is locally holomorphic in the complex structure moduli of . This computation illustrates in a simple example some recently obtained constraints on the parameter dependence of supersymmetric partition functions. We also devise a simple method to compute the chiral multiplet partition function on any four-manifold preserving two supercharges of opposite chiralities, via supersymmetric localization. In the case of , we provide a path integral derivation of the previously known result, the elliptic gamma function, which emphasizes its dependence on the complex structure moduli.Note:
- 39 pages. v2: reference added; v3: corrected typos, JHEP version
- Topological Field Theories
- Supergravity Models
- Field Theories in Lower Dimensions
- multiplet: chiral
- multiplet: coupling
- gauge field theory: abelian
- partition function
- supersymmetry
- localization
- moduli
References(48)
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- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]