Superstring field theory with open and closed strings

Abstract

We construct Lorentz invariant and gauge invariant 1PI effective action for closed and open superstrings and demonstrate that it satisfies the classical BV master equation. We also construct the quantum master action for this theory satisfying the quantum BV master equation and generalize the construction to unoriented theories. The extra free field needed for the construction of closed superstring field theory plays a crucial role in coupling the closed strings to D-branes and orientifold planes.

Classical algebraic structures in string theory effective actions

“…Loop corrections, following the general structure of [39], can be also considered but we will not do so here. 1 The (gauge-fixed) solution which expresses the massive fields in terms of the massless fields is constructed perturbatively in the number of massless fields insertions. We consider the standard Siegel gauge b 0 = 0 for open strings and b 0 +b 0 = 0 for closed strings.…”

“…Therefore this field has to be integrated out, rather than being set to zero and this is thus an instance where horizontal composition becomes handy. The resulting effective action is expressed via off-shell amplitudes for the gauge field where in addition to the usual worldsheet propagator b 0 L 0 (1 − P 0 ) there is also an "algebraic" propagator of the form 1 2 c 0 b −1 b 1 P 0 . This propagator (which already appeared in [8] in heterotic string field theory, with the understood superstring corrections) has been recently discussed by Sen in the context of string perturbation theory in D-instantons background [56] and our analysis offers a complementary (and equivalent in our tree-level treatment) viewpoint.…”

“…In recent years complete constructions of super string field theories have become available [1][2][3][4][5][6][7] and there has been interest in explicitly computing the effective action of a given microscopic string field theory, after integrating out the massive degrees of freedom [8][9][10][11], as originally done in [12]. The construction of effective actions from string field theory is instrumental for both giving a useful low-dimensional handle on the space of classical solutions [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] as well as for a better grounded approach to superstring perturbation theory [33][34][35][36][37][38][39][40][41][42][43].…”

Generalized ADHM equations from marginal deformations in open superstring field theory

“…Ultimately one should be interested in looking at moduli spaces of D-brane systems on marginally deformed classical closed string backgrounds. This can be done by including the effects of non-dynamical background on-shell closed string field (satisfying closed SFT equations of motion) into a classical open superstring field theory action through open-closed disk vertices (see [46] for some related recent progress). We hope to report on our progress in this direction soon [47].…”

On polytopes and generalizations of the KLT relations

“…However, higher point interactions have been studied using string based methods in the past [51]. Modern developments in superstring field theory [67][68][69][70], especially in light of the use made of hyperbolic geometry in the closed sector, may consequently prove to be valuable in decoding the relationship between higher loop interactions and polytopes and in shedding light on the nature of the double copy more generally.…”