Pohlmeyer reduction of AdS5×S5 superstring sigma model

By M. Grigoriev, A. Tseytlin. 2007

167 citations recorded by the source corpus.

Abstract Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS 5 × 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 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. The small-fluctuation spectrum near the trivial vacuum contains 8 bosonic and 8 fermionic degrees of freedom with equal mass. 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 × S 2 superstring model the reduced theory is indeed supersymmetric: it is equivalent to the N = 2 supersymmetric extension of the sine-Gordon model.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7f1d0450f54c45a6b5a4b5266963c58d7e99f249

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. B. Hoare
2. T. Hollowood
3. David M. Schmidtt
4. J. Miramontes
5. A. Tseytlin
6. S. Frolov
7. G. Arutyunov
8. N. Beisert

In Nuclear and High Energy Physics

1. B. Hoare
2. A. Tseytlin
3. T. Hollowood
4. David M. Schmidtt
5. J. Miramontes
6. S. Frolov
7. R. Roiban
8. G. Arutyunov

In Statistical and Nonlinear Physics

1. B. Hoare
2. A. Tseytlin
3. David M. Schmidtt
4. T. Hollowood
5. J. Miramontes
6. S. Frolov
7. S. Kuperstein

Citations in the corpus

• On integrable deformations of superstring sigma models related to AdSn×Sn supercosets (2015, methodology): “At the same time, it turns out there is also another, more surprising, relation: the η-model can be obtained directly from the λ-model as a special limit (combined with an analytic continuation), which in some sense cuts off the asymptotically flat region.1 The special point κ = i of the η-model is ”
• Integrable deformations of strings on symmetric spaces (2014, methodology): “At the level of the equations-of-motion in the stringy context this has been explained by Tseytlin and Grigoriev [27] (see also [36]).”