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Report number	CERN-TH-2017-038 ; arXiv:1702.04998
Title	A string realisation of $\varOmega$-deformed Abelian $\mathcal{N}=2^*$ theory
Related title	A string realisation of $\varOmega$-deformed Abelian $\mathcal{N}=2^*$ theory
Author(s)	Angelantonj, Carlo (INFN, Turin ; Turin U.) ; Antoniadis, Ignatios (Paris, LPTHE ; UPMC, Paris (main) ; U. Bern, AEC) ; Samsonyan, Marine (CERN)
Publication	2017-10
Imprint	2017-02-16
Number of pages	22
Note	1+22 pages. v2 Author name corrected on the arXiv metadata
In:	Nucl. Phys. B 923 (2017) 32-53
DOI	10.1016/j.nuclphysb.2017.07.015
Subject category	hep-th ; Particle Physics - Theory
Abstract	The $\mathscr{N}=2^*$ supersymmetric gauge theory is a massive deformation of $\mathscr{N}=4$, in which the adjoint hypermultiplet gets a mass. We present a D-brane realisation of the (non-)Abelian $\mathscr{N}=2^*$ theory, and compute suitable topological amplitudes, which are expressed as a double series expansion. The coefficients determine couplings of higher-dimensional operators in the effective supergravity action that involve powers of the anti-self-dual $\mathscr{N}=2$ chiral Weyl superfield and of self-dual gauge field strengths superpartners of the D5-brane coupling modulus. In the field theory limit, the result reproduces the Nekrasov partition function in the two-parameter $\varOmega$-background, in agreement with a recent proposal.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: (License) Preprint: © 2016-2026 CERN (License: CC-BY-4.0)

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