Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
| dc.creator | Grigoriev, M. | |
| dc.creator | Tseytlin, A. A. | |
| dc.date | 2007-11-01 | |
| dc.date | 2008-01-07 | |
| dc.date.accessioned | 2026-07-07T11:38:29Z | |
| dc.date.available | 2026-07-07T11:38:29Z | |
| dc.description | Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of freedom we construct the Pohlmeyer-reduced version of the corresponding sigma model. The Pohlmeyer reduction procedure involves several steps. Starting with a coset space string sigma model in the conformal gauge and writing the classical equations in terms of currents one can fix the residual conformal diffeomorphism symmetry and kappa-symmetry and introduce a new set of variables (related locally to currents but non-locally to the original string coordinate fields) so that the Virasoro constraints are automatically satisfied. The resulting gauge-fixed equations can be obtained from a Lagrangian of a non-abelian Toda type: a gauged WZW model with an integrable potential coupled also to a set of 2d fermionic fields. A gauge-fixed form of the Pohlmeyer-reduced theory can be found by integrating out the 2d gauge field of the gauged WZW model. Its small-fluctuation spectrum contains 8 bosonic and 8 fermionic degrees of freedom with equal masses. We conjecture that the reduced model has world-sheet supersymmetry and is ultraviolet-finite. We show that in the special case of the AdS_2 x S^2 superstring model the reduced theory is indeed supersymmetric: it is equivalent to the N=2 supersymmetric extension of the sine-Gordon model. | |
| dc.description | 56 pages. v2: section 6.4 expanded with comments on mass spectrum and the corresponding S-matrix; v3,v4: minor corrections and clarifications added | |
| dc.identifier | https://arxiv.org/abs/0711.0155 | |
| dc.identifier | http://arxiv.org/abs/0711.0155 | |
| dc.identifier | Nucl.Phys.B800:450-501,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.01.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199581 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model | |
| dc.type | text |