The type II superstring to order theta^4

Abstract

The Green-Schwarz superstring action in a general type IIA or IIB supergravity background is derived up to fourth order in the Grassmann-odd coordinates theta. This is done by solving the superspace Bianchi identities order by order in theta, to quadratic order for all superfields and to quartic order for the supervielbeins. For a large class of backgrounds it is possible to fix the kappa symmetry in such a way that the action actually terminates at the quartic order in theta.

19 pages; v2: Added comments on superisometries and gauge-fixing + References

References in corpus (3)

• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring

Cited by in corpus (23)

• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A Jordanian deformation of AdS space in type IIB supergravity
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• Double Wick rotating Green-Schwarz strings
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Finite momentum at string endpoints
• On integrability of strings on symmetric spaces
• Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Non-integrability on AdS${}_3$ supergravity backgrounds
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• Non-abelian fermionic T-duality in supergravity
• All symmetric space solutions of eleven-dimensional supergravity
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Supergravity solution-generating techniques and canonical transformations of $\sigma$-models from $O(D,D)$