Classical algebraic structures in string theory effective actions

0535812 - MÚ 2021 RIV US eng J - Journal Article
Erbin, H. - Maccaferri, C. - Schnabl, Martin - Vošmera, J.
Classical algebraic structures in string theory effective actions.
Journal of High Energy Physics. Roč. 2020, č. 11 (2020), č. článku 123. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GA18-07776S
Institutional support: RVO:67985840
Keywords : bosonic strings * effective field theories * string field theory
OECD category: Pure mathematics
Impact factor: 5.810, year: 2020
Method of publishing: Open access
https://doi.org/10.1007/JHEP11(2020)123

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. Moreover we show how the vertical decomposition can be used to construct effective open-closed couplings by deforming Witten OSFT with a tadpole given by the Ellwood invariant. Also, we discuss how the effective theory controls the possibility of removing the tadpole in the microscopic theory, giving a new framework for studying D-brane deformations induced by changes in the closed string background.
Permanent Link: http://hdl.handle.net/11104/0313740