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M- strings, elliptic genera and N=4string amplitudes

delete2014-02-12
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OA
AI
S
Stefan Hohenegger *
I
Iqbal, Amer
DOI:10.1002/prop.201300035delete
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摘要

摘要

En 中文
We study mass-deformed N = 2 gauge theories from various points of view. Their partition functions can be computed via three dual approaches: firstly, (p,q)-brane webs in type II string theory using Nekrasov's instanton calculus, secondly, the (refined) topological string using the topological vertex formalism and thirdly, M theory via the elliptic genus of certain M-strings configurations. We argue for a large class of theories that these approaches yield the same gauge theory partition function which we study in detail. To make their modular properties more tangible, we consider a fourth approach by connecting the partition function to the equivariant elliptic genus of C-2 through a (singular) theta-transform. This form appears naturally as a specific class of one-loop scattering amplitudes in type II string theory on T-2, which we calculate explicitly.
Keyword:
TOPOLOGICAL AMPLITUDES
AUTOMORPHIC-FORMS
ALGEBRAS
VERTEX
GENUS

期刊

F
Fortschritte der Physik-Progress of Physics
IF:
7.8
论文数:
2.0K
被引数:
3.6K

机构

U
university of geneva
学者数:
3.6W
论文数: 2.9W
被引数: 35
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