4d N=1/2d Yang-Mills Duality in Holography
- Creators
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Fluder, Martin
Abstract
We study the supergravity dual of four-dimensional N=1 superconformal field theories arising from wrapping M5-branes on a Kähler two-cycle inside a Calabi-Yau threefold. We derive an effective three-dimensional theory living on the cobordism between the infrared and ultraviolet Riemann surfaces, describing the renormalization group flows between AdS_7 and AdS_5 as well as between different AdS_5 fixed points. The realization of this system as an effective theory is convenient to make connections to known theories, and we show that upon imposing (physical) infrared boundary conditions, the effective three-dimensional theory further reduces to two-dimensional SU(2) Yang-Mills theory on the Riemann surface.
Additional Information
© 2018 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 31, 2018; Revised: June 20, 2018; Accepted: July 30, 2018; Published: August 9, 2018. The author especially thanks Sergei Gukov, for several interesting and important discussions. We further thank Ying-Hsuan Lin and Du Pei for helpful discussions, and Ying-Hsuan Lin and Yifan Wang for comments on the draft. The work of MF is supported by the David and Ellen Lee Postdoctoral Scholarship and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.Attached Files
Published - Fluder2018_Article_4dN12dMathcalN12dYang-MillsDua.pdf
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Additional details
- Eprint ID
- 84216
- Resolver ID
- CaltechAUTHORS:20180109-165045321
- David and Ellen Lee Postdoctoral Scholarship
- DE-SC0011632
- Department of Energy (DOE)
- SCOAP3
- Created
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2018-01-10Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2017-057