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.
Highlights
For this reason we begin our study by first constructing the 1PI effective action
After constructing the 1PI effective action and checking its desired properties, namely gauge invariance and validity of classical BV master equation, we describe the construction of quantum master action satisfying the quantum BV master equation
For Ac belonging to the NSNS sector the disc one point function is non-vanishing, but we shall still exclude its contribution from the definition of {Ac; } for uniformity and define {Ac}D to contain contributions from one point function on the disc both for NSNS and RR sector Ac
Summary
In bosonic open-closed string field theory the hole creation need not be described as a separate operation, — it can be included in the sewing of a Riemann surface with punctures to the disc with one bulk puncture. In open-closed superstring field theory the disc with one bulk puncture requires special treatment since picture number conservation makes the disc one point function of vertex operators in Hc vanish and we need to pick vertex operators from Hc. The definition of {· · · } requires choice of section segments Rg,b,N,M of Pg,b,N,M satisfying certain properties: 1. The other identities (1.7), (1.8) can be proven in a similar manner
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