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Gluing I: Integrals and Symmetries

Dedushenko, Mykola (2018) Gluing I: Integrals and Symmetries. . (Unpublished)

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We review some aspects of the cutting and gluing law in local quantum field theory. In particular, we emphasize the description of gluing by a path integral over a space of polarized boundary conditions, which are given by leaves of some Lagrangian foliation in the phase space. We think of this path integral as a non-local $(d-1)$-dimensional gluing theory associated to the parent local $d$-dimensional theory. We describe various properties of this procedure and spell out conditions under which symmetries of the parent theory lead to symmetries of the gluing theory. The purpose of this paper is to set up a playground for the companion paper where these techniques are applied to obtain new results in supersymmetric theories.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Dedushenko, Mykola0000-0002-9273-7602
Additional Information:The author thanks Jorgen E. Andersen, Tudor Dimofte, Yale Fan, Bruno Le Floch, Davide Gaiotto, Sergei Gukov, Alexei Morozov, Silviu Pufu, Gustavo J. Turiaci, Ran Yacoby for discussions. The author also thanks Tudor Dimofte and Davide Gaiotto for comments on the draft. This work was supported by the Walter Burke Institute for Theoretical Physics and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, as well as the Sherman Fairchild Foundation.
Group:Walter Burke Institute for Theoretical Physics
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Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
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Record Number:CaltechAUTHORS:20180716-135756654
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87891
Deposited By: Joy Painter
Deposited On:16 Jul 2018 22:59
Last Modified:02 Jun 2023 00:41

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