Vertex algebras and 4-manifold invariants

Dedushenko, Mykola and Gukov, Sergei and Putrov, Pavel (2017) Vertex algebras and 4-manifold invariants. . https://resolver.caltech.edu/CaltechAUTHORS:20170518-093106050

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Abstract

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d N = (0, 2) theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.

Item Type:

Report or Paper (Discussion Paper)

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1705.01645	arXiv	Discussion Paper

ORCID:

Author	ORCID
Dedushenko, Mykola	0000-0002-9273-7602
Gukov, Sergei	0000-0002-9486-1762

Additional Information:

We would like to thank J. Bryan, A. Dabholkar, A. Gadde, A. Haydys, M. Mari˜no, V. Mikhaylov, J.W. Morgan, H. Nakajima, H. Ooguri, J. Rasmussen, S. Schafer-Nameki, A. Soldatenkov, M. Stosic, E. Verlinde, H. Verlinde, J. Wong, and K. Ye for useful discussions and comments. The work of M.D. and S.G. is supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. In addition, the work of S.G. is supported in part by the ERC Starting Grant no. 335739 “Quantum fields and knot homologies” funded by the European Research Council under the European Union Seventh Framework Programme. P.P. gratefully acknowledges the support from Marvin L. Goldberger Fellowship and the DOE Grant DE-SC0009988. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-SC0011632
European Research Council (ERC)	335739
Department of Energy (DOE)	DE-SC0009988
Marvin L. Goldberger Fellowship	UNSPECIFIED

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2017-008

DOI:

10.48550/arXiv.1705.01645

Record Number:

CaltechAUTHORS:20170518-093106050

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20170518-093106050

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

77558

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

18 May 2017 17:40

Last Modified:

02 Jun 2023 00:34

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