de Boer, Jan and Hori, Kentaro and Ooguri, Hirosi and Oz, Yaron (1998) Kähler potential and higher derivative terms from M-theory fivebrane. Nuclear Physics B, 518 (1-2). pp. 173-211. ISSN 0550-3213. doi:10.1016/S0550-3213(98)00152-7. https://resolver.caltech.edu/CaltechAUTHORS:20161220-125221606
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Abstract
The construction of four-dimensional supersymmetric gauge theories via the fivebrane of M-theory wrapped around a Riemann surface has been successfully applied to the computation of holomorphic quantities of field theory. In this paper we compute non-holomorphic quantities in the eleven-dimensional supergravity limit of M-theory. While the Kähler potential on the Coulomb of N = 2 theories is correctly reproduced, higher derivative terms in the N = 2 effective action differ from what is expected for the four-dimensional gauge theory. For the Kähler potential of N = 1 theories at an abelian Coulomb phase, the result again differs from what is expected for the four-dimensional gauge theory. Using a gravitational back-reaction method for the fivebrane we compute the metric on the Higgs branch of N = 2 gauge theories. Here we find an agreement with the results expected for the gauge theories. A similar computation of the metric on N = 1 Higgs branches yields information on the complex structure associated with the flavor rotation in one case and the classical metric in another. We discuss what four-dimensional field theory quantities can be computed via the fivebrane in the supergravity limit of M-theory.
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Additional Information: | © 1998 Elsevier. Received 12 January 1998, Accepted 9 February 1998. We would like to thank G. Horowitz, J. Maldacena, H. Murayama and C. Vafa for useful discussions. This research is supported in part by NSF grant PHY-95-14797 and DOE grant DE-AC03-76SF00098. JdB is a fellow of the Miller Institute for Basic Research in Science. | ||||||||||||
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Subject Keywords: | M-theory fivebrane; Supersymmetric gauge theories; Kähler potential; Higher derivative terms | ||||||||||||
Issue or Number: | 1-2 | ||||||||||||
Classification Code: | PACS 12.38.Aw; 11.30.Pb; 11.25.-w | ||||||||||||
DOI: | 10.1016/S0550-3213(98)00152-7 | ||||||||||||
Record Number: | CaltechAUTHORS:20161220-125221606 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161220-125221606 | ||||||||||||
Official Citation: | Jan de Boer, Kentaro Hori, Hirosi Ooguri, Yaron Oz, Kähler potential and higher derivative terms from M-theory fivebrane, Nuclear Physics B, Volume 518, Issues 1–2, 4 May 1998, Pages 173-211, ISSN 0550-3213, http://dx.doi.org/10.1016/S0550-3213(98)00152-7. (http://www.sciencedirect.com/science/article/pii/S0550321398001527) | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 72989 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | George Porter | ||||||||||||
Deposited On: | 20 Dec 2016 21:52 | ||||||||||||
Last Modified: | 11 Nov 2021 05:09 |
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