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

Hiroaki Matsunaga
2019 Journal of High Energy Physics  
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
more » ... 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 lightcone string field theory is obtained from Witten's open string field theory.
doi:10.1007/jhep04(2019)143 fatcat:hspijl2d4fhcpki32wqe3vnz54