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

Bo-Yu Hou·Bo-Yuan Hou·Xiao-Hui Wang·Chuan-Hua Xiong·Rui-Hong Yue
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Abstract

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 $μ$ of poles in the Riemann-Hilbert formulation of dressing transformation and how the value of loop parameters $μ$ 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 $μ$ of twistor.

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Bo-Yu Hou, Bo-Yuan Hou, Xiao-Hui Wang, Chuan-Hua Xiong, Rui-Hong Yue. 2006-05-30. Conformal Affine Toda Soliton and Moduli of IIB Superstring on $AdS_5\times S^5$. https://doi.org/10.1088/0253-6102%2F45%2F2%2F023

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