Light-cone reduction of Witten’s open string field theory

0504469 - MÚ 2020 RIV US eng J - Journal Article
Matsunaga, Hiroaki
Light-cone reduction of Witten’s open string field theory.
Journal of High Energy Physics. Roč. 2019, č. 4 (2019), č. článku 143. ISSN 1029-8479. E-ISSN 1029-8479
Institutional support: RVO:67985840
Keywords : BRST quantization * effective field theories * Gauge symmetry * string field theory
OECD category: Applied mathematics
Impact factor: 5.875, year: 2019
Method of publishing: Open access
http://dx.doi.org/10.1007/JHEP04(2019)143

We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for A ∞ . The covariant string field splits into the light-cone string field and trivial excitations of BRST quartets: the latter generates the gauge symmetry and covariance. We first show that the reduction of gauge degrees can be performed by applying the lemma, which gives a refined version of the no-ghost theorem of covariant strings. Then, we demonstrate that after the reduction, gauge-fixed theory can be regarded as a kind of effective field theory and it provides an exact gauge-fixing procedure taking into account interactions. As a result, a novel light-cone string field theory is obtained from Witten’s open string field theory.
Permanent Link: http://hdl.handle.net/11104/0296093