Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge

TL;DR

This paper develops a light-cone gauge framework for superparticle and superstring dynamics in AdS_3 x S^3 with Ramond-Ramond flux, including Hamiltonians, spectra, and symmetry generators, advancing understanding of string theory in this background.

Contribution

It provides explicit light-cone Hamiltonians, harmonic decompositions, and symmetry realizations for superparticles and superstrings in AdS_3 x S^3 with R-R flux, a novel comprehensive analysis.

Findings

Derived the superparticle Hamiltonian in light-cone gauge.

Computed the Kaluza-Klein spectrum of fluctuations.

Constructed the light-cone superstring Hamiltonian and symmetry generators.

Abstract

We discuss superparticle and superstring dynamics in AdS_3 x S^3 supported by R-R 3-form background using light-cone gauge approach. Starting with the superalgebra psu(1,1|2) + psu(1,1|2) representing the basic symmetry of this background we find the light-cone superparticle Hamiltonian. We determine the harmonic decomposition of light-cone superfield describing fluctuations of type IIB supergravity fields expanded near AdS_3 x S^3 background and compute the corresponding Kaluza-Klein spectrum. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz AdS_3 x S^3 superstring action and find the light-cone string Hamiltonian. We also obtain a realization of the generators of psu(1,1|2) + psu(1,1|2) in terms of the superstring 2-d fields in the light-cone gauge.