Homotopy transfer and effective field theory II: strings and double field theory
Author(s)
Arvanitakis, Alex S
Hohm, Olaf
Hull, Chris
Lekeu, Victor
Type
Journal Article
Abstract
We continue our study of effective field theory via homotopy transfer ofL∞-algebras, and apply it to tree-level non-Wilsonian effective actions of thekind discussed by Sen in which the modes integrated out are comparable inmass to the modes that are kept. We focus on the construction of effectiveactions for string states at fixed levels and in particular on the construction ofweakly constrained double field theory. With these examples in mind, wediscuss closed string theory on toroidal backgrounds and resolve some subtleissues involving vertex operators, including the proper form of cocycle factorsand of the reflector state. This resolves outstanding issues concerning theconstruction of covariant closed string field theory on toroidal backgrounds.The weakly constrained double field theory is formally obtained from closedstring field theory on a toroidal background by integrating out all but the‘doubly massless’ states and homotopy transfer then gives a prescription fordetermining the theory’s vertices and symmetries. We also discuss consistenttruncation in the context of homotopy transfer.
Date Issued
2022-02-01
Date Acceptance
2022-02-01
Citation
Fortschritte Der Physik/Progress of Physics, 2022, 70 (2-3), pp.1-26
ISSN
0015-8208
Publisher
Wiley-VCH Verlag
Start Page
1
End Page
26
Journal / Book Title
Fortschritte Der Physik/Progress of Physics
Volume
70
Issue
2-3
Copyright Statement
© 2022 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor
Science and Technology Facilities Council (STFC)
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000749251900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
ST/T000791/1
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
effective field theory
homotopy transfer
strings and double field theory
DUALITY
GEOMETRY
ALGEBRA
VERTEX
TERMS
Publication Status
Published
Article Number
ARTN 2200004
Date Publish Online
2022-02-01