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  Holography and the Higgs branch of N=2 SYM theories

Guralnik, Z., Kovacs, S., & Kulik, B. (2005). Holography and the Higgs branch of N=2 SYM theories. Journal of High Energy Physics, 2005(3): 063.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4E56-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4E58-6
Genre: Journal Article

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 Creators:
Guralnik, Zachary, Author
Kovacs, Stefano1, Author
Kulik, Bogdan, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We present a proposal for the description of the Higgs branch of four-dimensional N=2 supersymmetric Yang-Mills theories in the context of the AdS/CFT correspondence. We focus on a finite Sp(N) N=2 theory arising as dual of a configuration of N D3-branes in the vicinity of four D7-branes and an orientifold 7-plane in type I' string theory. The field theory contains hypermultiplets in the second rank anti-symmetric and in the fundamental representations. The Higgs branch has a dual description in terms of gauge field configurations with non-zero instanton number on the world-volume of the D7-branes. In this setting the non-renormalisation of the metric on the Higgs branch implies constraints on the alpha' corrections to the D7-brane effective action, including couplings to the curvature and five-form field strength. In the second part of the paper we discuss non-renormalisation properties of BPS Wilson lines, which are closely related to the physics of the Higgs branch. Using a formulation of the four-dimensional N=2 theory in terms of a three-dimensional N=2 superspace we show that the expectation value of certain Wilson-line operators with hypermultiplets at the end points is independent of the length and thus coincides with the expectation value of the local operators parametrising the Higgs branch.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 119219
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2005 (3) Sequence Number: 063 Start / End Page: - Identifier: -