Searching for new homogeneous sine-Gordon theories using T-duality symmetries

Abstract

The Homogeneous sine-Gordon (HSG) theories are integrable perturbations of $G_k/U(1{)}^{r_G}$ coset CFTs, where $G$ is a simple compact Lie group of rank $r_G$ and $k>1$ is an integer. Using their T-duality symmetries, we investigate the relationship between the different theories corresponding to a given coset, and between the different phases of a particular theory. Our results suggest that for $G=SU(n)$ with $n\ge 5$ and $E_6$ there could be two non-equivalent HSG theories associated to the same coset, one of which has not been considered so far.

arXiv commentMinor changes. Final version published in J. Phys A: Math. Theor

References in corpus (19)

• An Introduction to T-Duality in String Theory
• A Canonical Approach to Duality Transformations
• The Symmetric Space and Homogeneous sine-Gordon Theories
• Generalized Duality and Singular Strings in Higher Dimensions
• Conservation Laws and Geometry of Perturbed Coset Models
• Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models
• Integrable Quantum Field Theories with Unstable Particles
• Solitonic Integrable Perturbations of Parafermionic Theories
• Mass scales and crossover phenomena in the Homogeneous Sine-Gordon Models
• Asymmetric Cosets
• Duality in Complex sine-Gordon Theory
• Decoupling the SU(N)_2-homogeneous Sine-Gordon model
• Target Space Duality I: General Theory
• Form Factors of the Homogeneous Sine-Gordon models
• T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
• Target Space Duality II: Applications
• T-duality of axial and vector dyonic integrable models
• T-Duality in 2-D Integrable Models
• A T-duality interpretation of the relationship between massive and massless magnonic TBA systems

Cited by in corpus (1)

• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory