Superstring action inAdS5×S5:

Abstract

As part of program to quantize superstrings in AdS 5 × S 5 in a light-cone gauge we find the explicit form of the corresponding Green-Schwarz action in the fermionic light-cone κ-symmetry gauge. The resulting action contains terms quadratic and quartic in fermions. In flat space limit it reduces to standard lightcone GS action, while for α ′ → 0 it has correct AdS 5 × S 5 light-cone superparticle limit. We discuss fixing the bosonic light-cone gauge and reformulation of the action in terms of 2-d Dirac spinors. *

Super spin chain coherent state actions and AdS5×S5 superstring

“…We recall [27,28] that θ A correspond to the (linearly realised) supersymmetry generators of the superconformal algebra P SU(4, 4|4) while η A -to the non-linearly realised superconformal generators.…”

“…Since the spin chain side is sensitive only to physical degrees of freedom, we are free to choose any diffeomorphism and κ-symmetry gauge. We shall use the string action in the light-cone κ-symmetry gauge of [27,28], i.e. Γ + θ = 0, where "+" direction is a light-cone direction in the Poincare coordinates of AdS 5 space.…”

“…We shall systematically derive the corresponding (1-loop) coherent state action which has a natural interpretation as a Landau-Lifshitz sigma model on the projective superspace CP 2|2 (an equivalent action was found independently in [20]). 2 On the string theory side, we shall start with an explicit form of the AdS 5 × S 5 action in the light-cone κ-symmetry gauge of [27,28]. This action is at most quartic in fermions and has manifest SU(4) symmetry.…”

“…In section 3 we consider the AdS 5 × S 5 superstring action [8] in the light-cone κ-symmetry gauge [27,28] which contains two fermionic coordinates transforming in the fundamental representation of SU(4). We choose an ansatz for the AdS 5 bosonic coordinates that describes strings localised at the center of AdS 5 in global coordinates, with the global time proportional to the world-sheet time.…”

Massive totally symmetric fields in AdSd

“…Since, by analogy with flat space, we expect that a quantization of the Green-Schwarz AdS superstring with Ramond-Ramond charge will be straightforward only in the light-cone gauge [14] it seems that from the stringy perspective of AdS/CF T correspondence the light-cone approach is the fruitful direction to go.…”