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Quivers for 3-manifolds: the correspondence, BPS states, and 3d N = 2 theories

Kucharski, Piotr (2020) Quivers for 3-manifolds: the correspondence, BPS states, and 3d N = 2 theories. Journal of High Energy Physics, 2020 (9). Art. No. 75. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20200914-111809939

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Abstract

We introduce and explore the relation between quivers and 3-manifolds with the topology of the knot complement. This idea can be viewed as an adaptation of the knots-quivers correspondence to Gukov-Manolescu invariants of knot complements (also known as F_K or Ž). Apart from assigning quivers to complements of T^((2,2p+1)) torus knots, we study the physical interpretation in terms of the BPS spectrum and general structure of 3d N = 2 theories associated to both sides of the correspondence. We also make a step towards categorification by proposing a t-deformation of all objects mentioned above.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/jhep09(2020)075DOIArticle
https://arxiv.org/abs/2005.13394arXivDiscussion Paper
ORCID:
AuthorORCID
Kucharski, Piotr0000-0002-9599-5658
Additional Information:© 2020 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. I would like to thank Tobias Ekholm, Angus Gruen, Sergei Gukov, Pietro Longhi, Sunghuk Park, and Piotr Sułkowski for insightful discussions. My work is supported by the Polish Ministry of Science and Higher Education through its programme Mobility Plus (decision no. 1667/MOB/V/2017/0).
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
SCOAP3UNSPECIFIED
Mobility Plus Program1667/MOB/V/2017/0
Subject Keywords:Chern-Simons Theories, M-Theory, Quantum Groups, Topological Strings
Issue or Number:9
Record Number:CaltechAUTHORS:20200914-111809939
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200914-111809939
Official Citation:Kucharski, P. Quivers for 3-manifolds: the correspondence, BPS states, and 3d N = 2 theories. J. High Energ. Phys. 2020, 75 (2020). https://doi.org/10.1007/JHEP09(2020)075
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105377
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:14 Sep 2020 22:24
Last Modified:14 Sep 2020 22:24

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