کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1844220 | 1527794 | 2008 | 52 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Pohlmeyer reduction of AdS5×S5AdS5×S5 superstring sigma model Pohlmeyer reduction of AdS5×S5AdS5×S5 superstring sigma model](/preview/png/1844220.png)
Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS5×S5AdS5×S5 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 AdS2×S2AdS2×S2 superstring model the reduced theory is indeed supersymmetric: it is equivalent to the N=2N=2 supersymmetric extension of the sine-Gordon model.
Journal: Nuclear Physics B - Volume 800, Issue 3, 11 September 2008, Pages 450–501