Published October 2021
| Submitted
Journal Article
Open
Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants
Chicago
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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.
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.Attached Files
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2005.05347.pdf
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Additional details
- Eprint ID
- 109623
- Resolver ID
- CaltechAUTHORS:20210628-191053120
- Department of Energy (DOE)
- DE-SC0011632
- NSF
- DMS-1664240
- Simons Foundation
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Japan Society for the Promotion of Science (JSPS)
- 16H06335
- Japan Society for the Promotion of Science (JSPS)
- 19K21828
- Kwanjeong Educational Foundation
- Harvard University
- Dominic Orr Graduate Fellowship
- Created
-
2021-06-29Created from EPrint's datestamp field
- Updated
-
2021-07-06Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics