19 citations · 49 across the 9 of their papers we have counts for
10 papers
Holography for integrable field theories
Kevin Costello, Joaquin Liniado
We develop a holographic dual to the integrable field theories built from Chern-Simons theory. The dual theory is a topological string on a generalized Calabi-Yau manifold, wh…
Chern-Simons Theories and Integrability
Joaquin Liniado
This thesis explores the correspondence between Chern-Simons theory and integrable field theories across different dimensions. It brings together all of my work in this area, inclu…
Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
Hank Chen, Joaquin Liniado
We introduce a three-dimensional quantum field theory with an infinite-dimensional symmetry, realized explicitly through a centrally extended affine graded Lie algebra. This symmet…
Gauging The Diamond: Integrable Coset Models from Twistor Space
Lewis T. Cole, Ryan A. Cullinan, Ben Hoare +2
Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimension…
Higher Gauge Theory and Integrability
Hank Chen, Joaquin Liniado
In recent years, significant progress has been made in the study of integrable systems from a gauge theoretic perspective. This development originated with the introduction of d…
Integrable Deformations from Twistor Space
Lewis T. Cole, Ryan A. Cullinan, Ben Hoare +2
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. B…
Integrable degenerate -models from 4d Chern-Simons theory
Joaquin Liniado, Benoit Vicedo
We present a general construction of integrable degenerate -models on a 2d manifold using the formalism of Costello and Yamazaki based on 4d Chern-Simons theory on…
Algebraic Structure of Dirac Hamiltonians in Non-Commutative Phase Space
Horacio Falomir, Joaquin Liniado, Pablo Pisani
In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinates and momenta from an algebraic perspective. In order to do so, we consider the…
Two Dimensional Conformal Field Theory and a Primer to Chiral Algebras
Joaquin Liniado
We review various aspects of two dimensional conformal field theories paying close attention to the algebraic structures that intervene. We provide a compact description regarding…
A New Example of the Effects of a Singular Background on the Zeta Function
Horacio Falomir, Joaquín Liniado, Pablo Pisani
To motivate our discussion, we consider a 1+1 dimensional scalar field interacting with a static Coulomb-type background, so that the spectrum of quantum fluctuations is given by a…