Quantum Consistency of the Superstring in AdS5 ? S5 Background

By N. Berkovits. 2004

172 citations recorded by the source corpus.

Using arguments based on BRST cohomology, the pure spinor formalism for the superstring in an AdS5 ? S5 background is proven to be BRST invariant and conformally invariant at the quantum level to all orders in perturbation theory. Cohomology arguments are also used to prove the existence of an infinite set of non-local BRST-invariant charges at the quantum level.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e8c3b982a312bd77a0b172f36605f913e8b9a84d

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In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. R. Roiban
4. N. Beisert
5. G. Arutyunov
6. Frederik Denef
7. M. Staudacher
8. K. Zarembo

Citations in the corpus

• The WZNW model on PSU (1,1|2) (2006, methodology): “ion. 47 model on PSU(1,1|2). Concerning higher dimensional backgrounds, the quantization of string backgrounds using pure spinors [6] may be considered the most promising recent development, see also [61, 62] for some results on AdS5 backgrounds that were obtained in this formalism. Yet, one drawbac”
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, unknown): “he T-dualized pure spinor action is S1 where S1 = S0 + Z d2zξ ajV aj (3.30) for some Vaj. Then BRST invariance of S0 and S1 implies that Z d2z(Q+Qˆ)(ξ ajV aj) = 0. (3.31) Furthermore, as explained in [38], Qand Qˆ act on the supercoset element ˜gof (3.29) by right multiplication as (Q+ Qˆ)˜g= ˜g[(λa”
• The su(2|2) dynamic S-matrix (2005, background): “Thisproves an earlierproposalforthe asym ptotic Bethe equationsforthe su(2j3) dynam icspin chain and forN = 4 SYM .”
• Fixing all moduli in a simple f-theory compactification (2005, background): “While backgrounds with RR flux are not easy to handle in the NSR formalism, there is abundant evidence that the difficulties are just technical, and steady progress in developing formalisms which solve them [14].”
• Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “[80]), our observations suggest that the full β-deformed N = 4 SYM theory is integrable for real β.”