Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism

Abstract

On-shell supergravity vertex operators in an $Ad{S}_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $Ad{S}_5$ radius variable, this cohomology is computed using N=4 harmonic superspace variables and explicit superfield expressions are obtained for the behavior of supergravity vertex operators near the boundary of $Ad{S}_5$.

Fixed typos and added references

References in corpus (7)

• ICTP Lectures on Covariant Quantization of the Superstring
• Introduction to AdS-CFT
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Holographic three-point functions for short operators
• A construction of integrated vertex operator in the pure spinor sigma-model in AdS5xS5
• BRST cohomology of the sum of two pure spinors

Cited by in corpus (16)

• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• Amplitudes on plane waves from ambitwistor strings
• Open-closed superstring amplitudes using vertex operators in ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Spectrum generating algebra for the pure spinor superstring
• $Ad{S}_5\times S^5$ supergravity vertex operators
• Half-BPS Vertex Operators of the $Ad{S}_5\times S^5$ Superstring
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
• Worldsheet dilatation operator for the $AdS$ superstring
• On the $\mathcal{N}$ = 4, d = 4 pure spinor measure factor
• Vertex operators for the plane wave pure spinor string
• Supertwistor description of the $AdS$ pure spinor string
• Ambitwistor strings and amplitudes in curved backgrounds
• Towards the quantization of the non-relativistic D2-brane in the Pure Spinor Formalism
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$