The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations

Frolov, Sergey; Plefka, Jan; Zamaklar, Marija

doi:10.1088/0305-4470/39/41/s15

The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations

Frolov, Sergey; Plefka, Jan; Zamaklar, Marija

Authors

Sergey Frolov

Jan Plefka

Dr Marija Zamaklar marija.zamaklar@durham.ac.uk
Associate Professor

Abstract

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green–Schwarz superstring in AdS5 × S5. We then quantize the theory perturbatively in the near plane wave limit, and compute the leading 1/J correction to a generic string state from the rank-1 subsectors. These investigations enable us to propose a new set of light-cone Bethe equations for the quantum string. The equations have a simple form and yield the correct spinning string and flat space limits. Finally, we clarify the notion of closed sectors in string theory by proving the existence of perturbative effective string Hamiltonians which are direct analogues of (all-loop) dilatation operators in the dual N = 4 gauge theory.

Citation

Frolov, S., Plefka, J., & Zamaklar, M. (2006). The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations. Journal of Physics A: Mathematical and General, 39(41), 13037-13082. https://doi.org/10.1088/0305-4470/39/41/s15

Journal Article Type	Article
Publication Date	Oct 1, 2006
Deposit Date	Aug 21, 2007
Journal	Journal of Physics A: Mathematical and General
Print ISSN	0305-4470
Electronic ISSN	1361-6447
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	39
Issue	41
Pages	13037-13082
DOI	https://doi.org/10.1088/0305-4470/39/41/s15