The GS Type IIB Superstring Action on AdS(3) X S(3) X T(4)

TL;DR

This paper constructs the type IIB superstring action on the AdS(3) x S(3) x T(4) background, highlighting the transition from NSNS to RR backgrounds and the resulting disappearance of the WZW term.

Contribution

It provides an explicit superstring action on AdS(3) x S(3) x T(4) using supersolvable algebra, clarifying the role of background fluxes.

Findings

Explicit form of the superstring action on AdS(3) x S(3) x T(4)

Demonstrates the disappearance of the WZW term when transitioning from NSNS to RR backgrounds

Clarifies the algebraic structure underlying the superstring in this background

Abstract

We describe the type IIB supergravity background on AdS_{3} x S_{3} x T^{4} using the potentials of AdS_{3|4} x S_{3} x T^{4} and we use the supersolvable algebra associated to AdS_{3|4} to compute the kappa gauge fixed type IIB string action. From the explicit form of the action we can clearly see how passing from pure NSNS backgrounds to pure RR backgrounds the WZW term disappears.