Solutions of four-dimensional field theories via M-theory

Edward Witten

doi:10.1016/S0550-3213(97)00416-1

Solutions of four-dimensional field theories via M-theory

Edward Witten

Research output: Contribution to journal › Article › peer-review

799 Scopus citations

Abstract

script N = 2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIA superstrings, and then reins terpreting those configurations in M-theory. This approach leads to explicit solutions for the Coulomb branch of a large family of four-dimensional script N = 2 field theories with zero or negative beta function.

Original language	English (US)
Pages (from-to)	3-42
Number of pages	40
Journal	Nuclear Physics B
Volume	500
Issue number	1-3
DOIs	https://doi.org/10.1016/S0550-3213(97)00416-1
State	Published - Sep 1 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/S0550-3213(97)00416-1

Cite this

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title = "Solutions of four-dimensional field theories via M-theory",

abstract = "script N = 2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIA superstrings, and then reins terpreting those configurations in M-theory. This approach leads to explicit solutions for the Coulomb branch of a large family of four-dimensional script N = 2 field theories with zero or negative beta function.",

author = "Edward Witten",

note = "Funding Information: J Research supported in part by NSF Grant PHY-9513835.",

year = "1997",

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AB - script N = 2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIA superstrings, and then reins terpreting those configurations in M-theory. This approach leads to explicit solutions for the Coulomb branch of a large family of four-dimensional script N = 2 field theories with zero or negative beta function.

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Solutions of four-dimensional field theories via M-theory

Abstract

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