Strings on semisymmetric superspaces

By K. Zarembo. 2010

141 citations recorded by the source corpus.

Several string backgrounds which arise in the AdS/CFT correspondence are described by integrable sigma-models. Their target space is always a $$ {\mathbb{Z}_4} $$ supercoset (a semi-symmetric superspace). Here we list all semi-symmetric cosets which have zero beta function and central charge c ≤ 26 at one loop in perturbation theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2aded06ce8f8c278003ae8bd0bd34b5050824e48

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Citations in the corpus

Jordanian deformations of the AdS5 × S5 superstring (2014, background): “The supercosets with the grading property are classified, including the stringy conditions in [10].”
An integrable deformation of the AdS5 × S5 superstring (2014, methodology): “It would be interesting to confirm that the fermionic contributions to this one-loop beta function cancel the bosonic contributions along the lines of a similar calculation for the AdS5 × S(5) Green-Schwarz sigma model in [4].”
B-field in AdS3/CF T2 correspondence and integrability (2012, methodology): “This β-function coincides with the one computed in [27] for the coset without the WZ term, up to an additional factor of κ2.”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “Once again, up to discarding the massless excitations, the string action can be written in terms of a coset [6, 151,152] D(2, 1;α)×D(2, 1;α) SU(1, 1)× SU(2)× SU(2) , (8.”
Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, background): “Possible supercosets, which lead to classically integrable and consistent string theories, are classified in [10, 11].”
Integrability, spin-chains and the AdS3/CFT2 correspondence (2011, unknown): “An algebraic approach to GS actions in ﬂat [40] and curved spacetimes [1,41–45] leads to much simpler, though equivalent [46], expressions in spacetimes with enough (super-)symmetry.”
Integrable deformations of strings on symmetric spaces (2014, background): “In particular, the world-sheet theory for the string moving in AdS5 × S5 in the Green-Schwarz formalism is a sigma-model whose target-space is a quotient of a Lie super-group by an ordinary Lie group known as a semisymmetric space [3] (see also [4]).”