T-systems and Y-systems in integrable systems

A Kuniba, T Nakanishi, J Suzuki - Journal of Physics A …, 2011 - iopscience.iop.org
T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories

C Destri, HJ de Vega - Nuclear Physics B, 1995 - Elsevier
We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic
chains and field theories that includes the finite size (and zero-temperature) calculations for …

Fermionic sum representations for conformal field theory characters

R Kedem, TR Klassen, BM McCoy, E Melzer - Physics Letters B, 1993 - Elsevier
We present sum representations for all characters of the unitary Virasoro minimal models.
They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the …

Dynkin TBA's

F Ravanini, A Valleriani, R Tateo - International Journal of Modern …, 1993 - World Scientific
We prove a useful identity valid for all ADE minimal S-matrices, that clarifies the
transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into …

Domain walls for two-dimensional renormalization group flows

D Gaiotto - Journal of High Energy Physics, 2012 - Springer
A bstract Renormalization Group domain walls are natural conformal interfaces between two
CFTs related by an RG flow. The RG domain wall gives an exact relation between the …

Polylogarithm identities in a conformal field theory in three dimensions

S Sachdev - Physics Letters B, 1993 - Elsevier
The N=∞ vector O (N) model is a solvable, interacting field theory in three dimensions (D). In
a recent paper with Chubukov and Ye, we have computed a universal number, c∼ …

Generalised hydrodynamics of -deformed integrable quantum field theories

R Travaglino, M Mazzoni… - Journal of High Energy …, 2024 - Springer
A bstract In this paper we evaluate the averages of conserved densities and currents
associated to charges of generic spin in (1+ 1)-dimensional massive integrable Quantum …

Dilogarithm identities in conformal field theory

W Nahm, A Recknagel, M Terhoeven - Modern Physics Letters A, 1993 - World Scientific
Dilogarithm identities for the central charges and conformal dimensions exist for at least
large classes of rational conformally invariant quantum field theories in two dimensions. In …

Integrable flows between exact CFTs

G Georgiou, K Sfetsos - Journal of High Energy Physics, 2017 - Springer
A bstract We explicitly construct families of integrable σ-model actions smoothly inter-
polating between exact CFTs. In the ultraviolet the theory is the direct product of two current …

On the classification of UV completions of integrable deformations of CFT

C Ahn, A LeClair - Journal of High Energy Physics, 2022 - Springer
A bstract It is well understood that 2d conformal field theory (CFT) deformed by an
irrelevant\(T\overline {T}\) perturbation of dimension 4 has universal properties. In particular …