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M- strings, elliptic genera and N=4string amplitudes
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DOI：10.1002/prop.201300035.png)
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Abstract
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.
Keywords:
TOPOLOGICAL AMPLITUDES
AUTOMORPHIC-FORMS
ALGEBRAS
VERTEX
GENUS
Journal
F
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7.8
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2.0K
Citations:
3.6K