Classical algebraic structures in string theory effective actions

0540684 - FZÚ 2021 RIV US eng J - Journal Article
Erbin, H. - Maccaferri, C. - Schnabl, Martin - Vošmera, Jakub
Classical algebraic structures in string theory effective actions.
Journal of High Energy Physics. Roč. 2020, č. 11 (2020), s. 1-81, č. článku 123. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : string field theory * bosonic strings * effective field theories
OECD category: Particles and field physics
Impact factor: 5.810, year: 2020
Method of publishing: Open access

We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of A∞_{∞}∞​ or L∞_{∞}∞​ type. We construct observables in the UV theory and we discuss their fate after integration-out. Furthermore, we discuss how to compose two subsequent integrations of degrees of freedom (horizontal composition) and how to integrate out degrees of freedom after deforming the UV theory with a new consistent interaction (vertical decomposition). We then apply our general results to the open bosonic string using Witten’s open string field theory. There we show how the horizontal composition can be used to systematically integrate out the Nakanishi-Lautrup field from the set of massless excitations, ending with a non-abelian A∞_{∞}∞​-gauge theory for just the open string gluon.

Permanent Link: http://hdl.handle.net/11104/0318302