Published November 2018
| Published + Submitted
Journal Article
Open
On dual description of the deformed O(N) sigma model
- Creators
- Litvinov, A. V.
- Spodyneiko, L. A.
Abstract
We study dual strong coupling description of integrability-preserving deformation of the O(N) sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion interaction and bosonic fields with exponential interactions. We claim that both theories share the same integrable structure and coincide as quantum field theories. We construct a solution of Ricci flow equation which behaves in the UV as a free theory perturbed by graviton operators and show that it coincides with the metric of the η-deformed O(N) sigma-model after T -duality transformation.
Additional Information
© The Author(s) 2018. 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: June 15, 2018; Accepted: November 13, 2018; Published: November 22, 2018. The results of section 3 and 4 as well as of the appendix C are obtained by A.L. The results of sections 2 and of appendices A and B are obtained by L.S. The introduction was written in close collaboration between the participants of this publication. A.L. acknowledges discussions with Vladimir Fateev, Borya Feigin, Misha Bershtein and Serezha Lukyanov, his work is supported by Laboratory of Mirror Symmetry NRU HSE, RF Government grant, ag. N 14.641.31.0001. The work of L.S. is supported by the Russian Science Foundation under grant 18-12-00439 and performed in Landau Institute for Theoretical Physics.Attached Files
Published - Litvinov-Spodyneiko2018_Article_OnDualDescriptionOfTheDeformed.pdf
Submitted - 1804.07084.pdf
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Additional details
- Eprint ID
- 91164
- Resolver ID
- CaltechAUTHORS:20181126-105144779
- N 14.641.31.0001
- National Research University Higher School of Economics (Russia)
- 18-12-00439
- Russian Science Foundation
- SCOAP3
- Created
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2018-11-26Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field