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$\lambda$-Deformation Of The $AdS_{5}\times S^{5}$ Pure Spinor Superstring

High Energy Physics - Theory 2019-10-21 v4 Mathematical Physics math.MP

Abstract

The lambda deformation of the pure spinor formalism of the superstring in the AdS5×S5AdS_{5}\times S^{5} background is introduced. It is shown that the deformation preserves the integrability as well as the one-loop conformal invariance of its parent theory. It is also shown that the effective action takes the standard form of the Berkovits-Howe action functional, allowing to calculate the deformed background supergeometry in a straightforward way. The background fields coincide with those of the lambda model of the Green-Schwarz formalism, hence satisfying the same set of supergravity equations of motion.

Keywords

Cite

@article{arxiv.1907.13197,
  title  = {$\lambda$-Deformation Of The $AdS_{5}\times S^{5}$ Pure Spinor Superstring},
  author = {Héctor A. Benítez and David M. Schmidtt},
  journal= {arXiv preprint arXiv:1907.13197},
  year   = {2019}
}

Comments

Published version, 28 pages

R2 v1 2026-06-23T10:35:23.637Z