Temperature quantization from the TBA equations

Abstract

We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS_5 x S^5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference of the cylinder, and is identified with the inverse temperature of the mirror model. We show that the natural requirement of the analyticity of the Y-functions leads to the quantization of the temperature of the mirror model which has never been observed in any other models.

1+14 pages, v2: a paragraph added in section 2.3

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• The Quantum Deformed Mirror TBA I
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• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Non-conformality of gamma_i-deformed N=4 SYM theory
• The spectral problem for strings on twisted AdS_5 x S^5
• Twisting the Mirror TBA
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• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
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• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Discrete Hirota dynamics for AdS/CFT
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• The spectrum of tachyons in AdS/CFT
• Comments on the Mirror TBA
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• Exceptional Operators in N=4 super Yang-Mills
• Scaling dimensions from the mirror TBA
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• Scattering of Giant Magnons in CP^3
• Orbifolded Konishi from the Mirror TBA
• Integrability treatment of AdS/CFT orbifolds
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations