Aspects of quantum integrability for pure spinor superstring in AdS5 × S5

@article{Puletti2008AspectsOQ,
  title={Aspects of quantum integrability for pure spinor superstring in AdS5 × S5},
  author={Valentina Giangreco M. Puletti},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={070-070}
}
We consider the monodromy matrix for the pure spinor IIB superstring on AdS5 × S5 at leading order at strong coupling, in particular its variation under an infinitesimal and continuous deformation of the contour. Such variation is equivalent to the insertion of a local operator. Demanding the BRST-closure for such an operator rules out its existence, implying that the monodromy matrix remains contour-independent at the first order in perturbation theory. Furthermore we explicitly compute the… 

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References

SHOWING 1-10 OF 73 REFERENCES

Integrability of type II superstrings on Ramond-Ramond backgrounds in various dimensions

We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux in various dimensions. We realize the backgrounds as supercosets and analyze explicitly two classes of models: non-critical

Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)

We perform a Hamiltonian analysis of the classical type IIB superstring on AdS5 ? S5 in the pure spinor approach. Taking the spatial components of the left-invariant (super)currents and the pure

Classical/quantum integrability in AdS/CFT

We discuss the AdS/CFT duality from the perspective of integrable systems and establish a direct relationship between the dimension of single trace local operators composed of two types of scalar

Quantum Consistency of the Superstring in AdS5 ? S5 Background

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

A Crossing-Symmetric Phase for AdS5 x S5 Strings

We propose an all-order perturbative expression for the dressing phase of the AdS5 × S 5 string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This

Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)

Quantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in

Transcendentality and crossing

We discuss possible phase factors for the S-matrix of planar gauge theory, leading to modifications at four-loop order as compared to an earlier proposal. While these result in a four-loop breakdown
...