Worldsheet dilatation operator for the $AdS$ superstring

Abstract

In this work we propose a systematic way to compute the logarithmic divergences of composite operators in the pure spinor description of the $Ad{S}_5\times S^5$ superstring. The computations of these divergences can be summarized in terms of a dilatation operator acting on the local operators. We check our results with some important composite operators of the formalism.

35 pages

References in corpus (7)

• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• On the Non-renormalization of the AdS Radius
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• On the Spectrum of Superspheres
• Spectrum and Quantum Symmetries of the ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ Superstring

Cited by in corpus (5)

• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• Supertwistor description of the $AdS$ pure spinor string
• Spectra of Sigma Models on Semi-Symmetric Spaces