Exploring The Lambda Model Of The Hybrid Superstring

Abstract

The purpose of this contribution is to initiate the study of integrable deformations for different superstring theory formalisms that manifest the property of (classical) integrability. In this paper we choose the hybrid formalism of the superstring in the background AdS_{2}xS^{2} and explore in detail the most immediate consequences of its lambda-deformation. The resulting action functional corresponds to the lambda-model of the matter part of the fairly more sophisticated pure spinor formalism, which is also known to be classical integrable. In particular, the deformation preserves the integrability and the one-loop conformal invariance of its parent theory, hence being a marginal deformation.

LaTex, 37 pages, references added, match published version in Journal of High Energy Physics, 2016

References in corpus (53)

• Super-Poincare Covariant Quantization of the Superstring
• An integrable deformation of the AdS_5 x S^5 superstring action
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• ICTP Lectures on Covariant Quantization of the Superstring
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• An Integrable Deformation of the AdS5 x S5 Superstring
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Generalised integrable $\lambda$- and $\eta$-deformations and their relation
• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
• Integrable Deformations of Strings on Symmetric Spaces
• Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
• Spacetimes for λ-deformations
• Strings on Semisymmetric Superspaces
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• The all-loop non-Abelian Thirring model and its RG flow
• Pohlmeyer reduction revisited
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• A New Description of the Superstring
• The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge
• Quantization of the Superstring with Manifest U(5) Super-Poincare Invariance
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• S-Matrices and Quantum Group Symmetry of k-Deformed Sigma Models
• A Relativistic Relative of the Magnon S-Matrix
• Alleviating the non-ultralocality of the AdS_5 x S^5 superstring
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Integrable $\lambda$-deformations: Squashing Coset CFTs and $Ad{S}_5\times S^5$
• Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
• On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models
• Quantization of the Superstring in Ramond-Ramond Backgrounds
• The Structure of Non-Abelian Kinks
• Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction
• Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models
• Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy

Cited by in corpus (10)

• Integrable flows between exact CFTs
• A new class of integrable deformations of CFTs
• Integrable Lambda Models And Chern-Simons Theories
• Holomorphic Chern-Simons theory and lambda models: PCM case
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• Lambda Models From Chern-Simons Theories
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Giant Magnons of String Theory in the Lambda Background
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• A generalized 4d Chern-Simons theory