Finite dimensional vertex

Abstract

The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of such finite-dimensional representations. The construction can also be applied to infinite-dimensional representations, including unitary, although it becomes in this case somewhat less explicit.

LaTeX 48pp; v2: added explanations, small corrections, reference

References in corpus (6)

• On the SU(2|1) WZW model and its statistical mechanics applications
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• Symmetries of massless vertex operators in AdS(5) x S(5)
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Massless particles on supergroups and AdS3 x S3 supergravity

Cited by in corpus (12)

• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
• Half-BPS Vertex Operators of the $Ad{S}_5\times S^5$ Superstring
• Worldsheet dilatation operator for the $AdS$ superstring
• AdS pure spinor superstring in constant backgrounds
• Vertex operators for the plane wave pure spinor string
• Supermultiplet of $\beta -$deformations from twistors
• Deformations, renormgroup, symmetries, AdS/CFT
• BRST cohomology of the sum of two pure spinors
• Supertwistor description of the $AdS$ pure spinor string
• On worldsheet curvature coupling in pure spinor sigma-model
• Pure spinors in AdS and Lie algebra cohomology