ADE little string theory on a Riemann surface (and triality)

M Aganagic, N Haouzi - arXiv preprint arXiv:1506.04183, 2015 - arxiv.org
We initiate the study of (2, 0) little string theory of ADE type using its definition in terms of IIB
string compactified on an ADE singularity. As one application, we derive a 5d ADE quiver …

Higher equations of motion for boundary Liouville Conformal Field Theory from the Ward identities

B Cerclé - arXiv preprint arXiv:2401.13271, 2024 - arxiv.org
In this document we prove higher equations of motion at the level $2 $ for boundary Liouville
Conformal Field Theory. As a corollary we present a new derivation of the Belavin-Polyakov …

Boundary Toda Conformal Field Theory from the path integral

B Cerclé, N Huguenin - arXiv preprint arXiv:2402.02888, 2024 - arxiv.org
Toda Conformal Field Theories (CFTs hereafter) are generalizations of Liouville CFT where
the underlying field is no longer scalar but takes values in a finite-dimensional vector space …

The large central charge limit of conformal blocks

V Fateev, S Ribault - Journal of High Energy Physics, 2012 - Springer
A bstract We study conformal blocks of conformal field theories with a W 3 symmetry algebra
in the limit where the central charge is large. In this limit, we compute the fourpoint block as a …

AGT/ℤ2

B Le Floch, GJ Turiaci - Journal of High Energy Physics, 2017 - Springer
A bstract We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries
and cross-cap states to supersymmetric observables in four-dimensional\(\mathcal {N}= 2\) …

Some remarks on D-branes and defects in Liouville and Toda field theories

G Sarkissian - International Journal of Modern Physics A, 2012 - World Scientific
In this paper, we analyze the Cardy–Lewellen equation in general diagonal model. We
show that in these models it takes a simple form due to some general properties of …

On classical and semiclassical properties of the Liouville theory with defects

H Poghosyan, G Sarkissian - Journal of High Energy Physics, 2015 - Springer
A bstract The Lagrangian of the Liouville theory with topological defects is analyzed in detail
and general solution of the corresponding defect equations of motion is found. We study the …

The light asymptotic limit of conformal blocks in Toda field theory

H Poghosyan, R Poghossian, G Sarkissian - Journal of High Energy …, 2016 - Springer
A bstract We compute the light asymptotic limit of A n− 1 Toda conformal blocks by using the
AGT correspondence. We show that for certain class of CFT blocks the corresponding …

Boundary conditions in Toda theories and minimal models

S Fredenhagen - Journal of High Energy Physics, 2011 - Springer
We show that the disc bulk one-point functions in a sl (n) Toda conformal field theory have a
well-defined limit for the central charge c= n− 1, and that their limiting values can be …

[HTML][HTML] Comments on fusion matrix in N= 1 super Liouville field theory

H Poghosyan, G Sarkissian - Nuclear Physics B, 2016 - Elsevier
We study several aspects of the N= 1 super Liouville theory. We show that certain elements
of the fusion matrix in the Neveu–Schwarz sector are related to the structure constants …