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(0,2) dualities and the 4-simplex

Dimofte, Tudor and Paquette, Natalie M. (2019) (0,2) dualities and the 4-simplex. Journal of High Energy Physics, 2019 (8). Art. No. 132. ISSN 1029-8479.

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We propose that a simple, Lagrangian 2d N = (0, 2) duality interface between the 3d N = 2 XYZ model and 3d N = 2 SQED can be associated to the simplest triangulated 4-manifold: the 4-simplex. We then begin to flesh out a dictionary between more general triangulated 4-manifolds with boundary and 2d N = (0, 2) interfaces. In particular, we identify IR dualities of interfaces associated to local changes of 4d triangulation, governed by the (3), (2, 4), and (2, 4) Pachner moves. We check these dualities using supersymmetric half-indices. We also describe how to produce stand-alone 2d theories (as opposed to interfaces) capturing the geometry of 4-simplices and Pachner moves by making additional field-theoretic choices, and find in this context that the Pachner moves recover abelian N = (0, 2) trialities of Gadde-Gukov-Putrov. Our work provides new, explicit tools to explore the interplay between 2d dualities and 4-manifold geometry that has been developed in recent years.

Item Type:Article
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URLURL TypeDescription Paper
Paquette, Natalie M.0000-0003-2078-7165
Additional Information:© The Author(s) 2019. 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. Received 21 May 2019. Accepted 13 August 2019. First Online 23 August 2019. Article funded by SCOAP3. We would like to thank F. Costantino, A. Issa, and R. Kashaev for helpful correspondence regarding 4d triangulations; A. Gadde, S. Gukov, and P. Putrov for useful discussions regarding the 4d-2d correspondence; and K. Costello and D. Gaiotto for collaboration on related projects. The work of T.D. was supported by NSF CAREER Grant No. 1753077 and in part by ERC Starting Grant No. 335739; part of this work was performed at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611. N.P. acknowledges support from a Sherman Fairchild Postdoctoral Fellowship. N.P. also gratefully acknowledges the following institutions for hospitality and support while this work was being completed, and where this work was presented: Rutgers University, OIST, Kavli IPMU, Copenhagen University, Stanford University, Princeton University, Perimeter Institute, and UC Davis/QMAP. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
European Research Council (ERC)335739
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Duality in Gauge Field Theories, Supersymmetric Gauge Theory, Supersymmetry and Duality
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Issue or Number:8
Record Number:CaltechAUTHORS:20190903-130240418
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Official Citation:Dimofte, T. & Paquette, N.M. J. High Energ. Phys. (2019) 2019: 132.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98391
Deposited By: George Porter
Deposited On:04 Sep 2019 14:57
Last Modified:03 Oct 2019 21:40

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