Conformal Affine Toda Soliton and Moduli of IIB Superstring on $AdS_5\times S^5$

Details Conformal Affine Toda Soliton and Moduli of IIB Superstring on $AdS_5\times S^5$ Conformal Affine Toda Soliton and Moduli of IIB Superstring on $AdS_5\times S^5$

2004-06-27

arxiv.org/abs/hep-th/0406250v7

As Part I of Commun. Theor. Phys. 45(2) (2006) 301-314

Physics

High Energy Physics

High Energy Physics - Theory

Final version, Misprints corrected, Note added

Scientific paper

In this paper we interpret the hidden symmetry of the moduli space of IIB superstring on $AdS_{5}\times S^{5}$ in terms of the chiral embedding in $AdS_{5}$, which turns to be the $\mathbb{CP}^{3}$ conformal affine Toda model. We review how the position $\mu $ of poles in the Riemann-Hilbert formulation of dressing transformation and how the value of loop parameters $\mu $ in the vertex operator of affine algebra determines the moduli space of the soliton solutions, which describes the moduli space of the Green-Schwarz superstring. We show also how this affine SU(4) symmetry affinize the conformal symmetry in the twistor space, and how a soliton string corresponds to a Robinson congruence with twist and dilation spin coefficients $\mu $ of twistor.

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