Pure Spinor Strings in TsT Deformed Background

Abstract

We consider pure spinor strings that propagate in the background generated by a sequence of TsT transformations. We use the fact that U(1) isometry variables of TsT-transformed background are related to the isometry variables of the initial background in the universal way that is independent of the details of the background. We will argue that after redefinitions of pure spinors and the fermionic variables we can construct pure spinor action with manifest U(1) isometry. This fact implies that the pure spinor string in TsT-transformed background is described by pure spinor string in the original background where world-volume modes are subject to twisted boundary conditions. We will argue that these twisted boundary conditions generally prevent to prove the quantum conformal invariance of the pure spinor string in AdS_5 x S^5 background. We determine the conditions under which this quantum conformal invariance can be proved. We also determine the Lax pair for pure spinor strings in the TsT-transformed background.

35 pages, no figures

References in corpus (10)

• ICTP Lectures on Covariant Quantization of the Superstring
• Green-Schwarz Strings in TsT-transformed backgrounds
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• The general Leigh-Strassler deformation and integrability
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background
• Yang-Mills Theory as an Illustration of the Covariant Quantization of Superstrings
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background

Cited by in corpus (10)

• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Riemannian structures on ${\mathbb{Z}}_2^n$-manifolds
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Supermultiplet of $\beta -$deformations from twistors
• Algebra of Lax Connection for T-Dual Models