This paper considers classical strings propagating in γ-deformed AdS3 γ S^3 backgrounds generated by certain shift T-dualities accompanied （TsT） transformations on S^3 and AdS3, respectively. It finds that the U（...This paper considers classical strings propagating in γ-deformed AdS3 γ S^3 backgrounds generated by certain shift T-dualities accompanied （TsT） transformations on S^3 and AdS3, respectively. It finds that the U（1） currents of strings with the twisted boundary conditions are equal to those in γ-deformed backgrounds generated by TsT transformations on both S3 and ADS3. Applying the TsT transformations, it derives the local Lax connections and the monodromy matrices in γ-deformed backgrounds with the spectral parameter which ensure the classical integrability of the string theories.展开更多
We show that for the Green-Schwarz superstring on AdS5 × S^5. the Caftan 1-forms associated with the fiat currents given by Bena, Polchinski and Roiban [Phys. Rev. D 69 （2004）046002] also satisfy equations of m...We show that for the Green-Schwarz superstring on AdS5 × S^5. the Caftan 1-forms associated with the fiat currents given by Bena, Polchinski and Roiban [Phys. Rev. D 69 （2004）046002] also satisfy equations of motion and the Virasoro constraint. Thus one can generate a series of classical solutions with a spectrum parameter from the existing one, and these solutions have the same infinite set of classically conserved quantities.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos 90403019 and 10575080)
文摘This paper considers classical strings propagating in γ-deformed AdS3 γ S^3 backgrounds generated by certain shift T-dualities accompanied （TsT） transformations on S^3 and AdS3, respectively. It finds that the U（1） currents of strings with the twisted boundary conditions are equal to those in γ-deformed backgrounds generated by TsT transformations on both S3 and ADS3. Applying the TsT transformations, it derives the local Lax connections and the monodromy matrices in γ-deformed backgrounds with the spectral parameter which ensure the classical integrability of the string theories.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10575080 and 90403019. The authors would like to thank Professor Radu Rioban for helpful suggestions.
文摘We show that for the Green-Schwarz superstring on AdS5 × S^5. the Caftan 1-forms associated with the fiat currents given by Bena, Polchinski and Roiban [Phys. Rev. D 69 （2004）046002] also satisfy equations of motion and the Virasoro constraint. Thus one can generate a series of classical solutions with a spectrum parameter from the existing one, and these solutions have the same infinite set of classically conserved quantities.
