49 citations · 169 across the 13 of their papers we have counts for
14 papers
Classification of c=1 CFTs
Lorenz Eberhardt, Nat Levine
We completely classify unitary 2d CFTs with central charge and discrete spectrum. We confirm the folklore that the only such theories are the compact free boson, its $\mathbb…
1-loop renormalisability of integrable sigma-models from 4d Chern-Simons theory
Sylvain Lacroix, Nat Levine, Anders Wallberg
Large families of integrable 2d sigma-models have been constructed at the classical level, partly motivated by the utility of integrability on the string worldsheet. It is natural…
Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
António Antunes, Nat Levine, Marco Meineri
Higher-spin conserved currents and charges feature prominently in integrable 2d QFTs in flat space. Motivated by the question of integrable field theories in AdS space, we consider…
Bootstrapping bulk locality. Part II: Interacting functionals
Nat Levine, Miguel F. Paulos
Locality of bulk operators in AdS imposes stringent constraints on their description in terms of the boundary CFT. These constraints are encoded as sum rules on the bulk-to-boundar…
Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models
Nat Levine
We argue for the matching of 1-loop divergences between 4d Chern-Simons theory with Disorder defects and the corresponding integrable 2d sigma-models of non-ultralocal type. Starti…
Bootstrapping bulk locality. Part I: Sum rules for AdS form factors
Nat Levine, Miguel F. Paulos
The problem of constructing local bulk observables from boundary CFT data is of paramount importance in holography. In this work, we begin addressing this question from a modern bo…
Bi- and bi- deformations of permutation supercosets
Ben Hoare, Nat Levine, Fiona K. Seibold
Integrable string sigma models on AdS backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the de…
Universal 1-loop divergences for integrable sigma models
Nat Levine
We present a simple, new method for the 1-loop renormalization of integrable -models. By treating equations of motion and Bianchi identities on an equal footing, we derive 'univ…
Integrability and RG flow in 2d sigma models
Nat Levine
Motivated by the search for solvable string theories, we consider the problem of classifying the integrable bosonic 2d -models. We include non-conformal -models, which have h…
Integrability vs. RG flow in and sigma models
Nat Levine, Arkady A. Tseytlin
We consider a class of 2d -models on products of group spaces that provide new examples of a close connection between integrability and stability under the RG flow. We first stu…
Sigma models with local couplings: a new integrability -- RG flow connection
Ben Hoare, Nat Levine, Arkady A. Tseytlin
We consider several classes of -models (on groups and symmetric spaces, -models, -models) with local couplings that may depend on the 2d coordinates, e.g. on time . We…
Integrable sigma models and 2-loop RG flow
Ben Hoare, Nat Levine, Arkady A. Tseytlin
Following arXiv:1907.04737, we continue our investigation of the relation between the renormalizability (with finitely many couplings) and integrability in 2d -models. We focus…
Integrable 2d sigma models: quantum corrections to geometry from RG flow
Ben Hoare, Nat Levine, Arkady A. Tseytlin
Classically integrable -models are known to be solutions of the 1-loop RG equations, or "Ricci flow", with only a few couplings running. In some of the simplest examples of inte…
On the massless tree-level S-matrix in 2d sigma models
Ben Hoare, Nat Levine, Arkady A. Tseytlin
Motivated by the search for new integrable string models, we study the properties of massless tree-level S-matrices for 2d sigma models expanded near the trivial vacuum. We find th…