Gukov, Sergei and Hsin, Po-Shen and Nakajima, Hiraku and Park, Sunghyuk and Pei, Du and Sopenko, Nikita (2021) Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants. Journal of Geometry and Physics, 168 . Art. No. 104311. ISSN 0393-0440. doi:10.1016/j.geomphys.2021.104311. https://resolver.caltech.edu/CaltechAUTHORS:20210628-191053120
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Abstract
By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several new avenues, which include a new formulation of q-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants.
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| Additional Information: | © 2021 Elsevier. Received 7 February 2021, Accepted 14 June 2021, Available online 18 June 2021. It is pleasure to thank Jørgen Andersen, Francesco Costantino, Pavel Etingof, Boris Feigin, Igor Frenkel, Azat Gainutdinov, Amihay Hanany, Anna Lachowska, Ciprian Manolescu, Jun Murakami, Mark Penney, Lev Rozansky, and Shing-Tung Yau for illuminating discussions and comments. The work of S.G. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664240. The work of P.-S.H. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, and by the Simons Foundation through the Simons Investigator Award. The work of H.N. is supported in part by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan, and by JSPS Grant Number 16H06335, 19K21828. The work of S.P. is supported by Kwanjeong Educational Foundation. The work of D.P. is supported by the Center for Mathematical Sciences and Applications at Harvard University. N.S. gratefully acknowledges the support of the Dominic Orr Graduate Fellowship at Caltech. | ||||||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||||||||
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| Subject Keywords: | Equivariant index formula; Verlinde formula; Rozansky-Witten theory; ADO invariants | ||||||||||||||||||||
| DOI: | 10.1016/j.geomphys.2021.104311 | ||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20210628-191053120 | ||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210628-191053120 | ||||||||||||||||||||
| Official Citation: | Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima, Sunghyuk Park, Du Pei, Nikita Sopenko, Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants, Journal of Geometry and Physics, Volume 168, 2021, 104311, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2021.104311. (https://www.sciencedirect.com/science/article/pii/S0393044021001571) | ||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||
| ID Code: | 109623 | ||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||||||
| Deposited On: | 29 Jun 2021 14:47 | ||||||||||||||||||||
| Last Modified: | 06 Jul 2021 20:54 |
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