11 research outputs found
Supersymmetric integrable theories without particle production
We consider a theory of scalar superfields in two dimensions with arbitrary
superpotential. By imposing no particle production in tree level scattering, we
constrain the form of the admissible interactions, recovering a supersymmetric
extension of the sinh-Gordon model
Two loop five point integrals: light, heavy and large spin correlators
We evaluated all two loop conformal integrals appearing in five point
correlation functions of protected operators of Super
Yang-Mills in several kinematical regimes. Starting from the correlation
function of the lightest operators of the theory, we were able to extract
structure constants of up to two spinning operators for small and large values
of polarizations and spin. We conjectured an universal all loop behaviour for
the large spin small polarization structure constants and comment on the
subtleties of analytically continuing it from finite to large spin. We also
consider correlation functions of heavier operators that get factorized in the
more fundamental object called decagon. We fixed this object at two loops in
general kinematics and studied its physical properties under OPE and null
limits.Comment: 34 pages, 2 figures, 6 auxiliary file
Spinning Hexagons
We reduce the computation of three point function of three spinning operators
with arbitrary polarizations to a statistical mechanics problem via the hexagon
formalism. The central building block of these correlation functions is the
hexagon partition function. We explore its analytic structure and use it to
generate perturbative data for spinning three point functions. For certain
polarizations and any coupling, we express the full asymptotic three point
function in determinant form. With the integrability approach established we
open the ground to study the large spin limit where dualities with null Wilson
loops and integrable pentagons must appear.Comment: 40 pages, 14 figure
Studies in two-dimensional integrable quantum field theories
Esta dissertação de mestrado consiste de uma revisão sobre teorias quânticas de campos integráveis em duas dimensões, explorando tanto aspectos clássicos como aspectos quânticos dessas teorias munidas de infinitas cargas conservadas. Em nível clássico, consideramos uma teoria de supercampos escalares em duas dimensões com superpotencial arbitrário. Através da imposição da não produção de partículas a nível-árvore, restringimos a forma das interações adimissíveis, recuperando uma extensão supersimétrica do modelo de sinh-Gordon, o qual é provado ser integrável não somente através da obtenção do conjunto infinito de cargas conservadas, mas também através de S-matrix bootstrap. Ainda no nível clássico também mostramos uma profunda relação entre as Toda theories e os conformal minimal models, a qual se estende para nível quântico onde obtemos uma família de fluxos de renormalização entre os unitary conformal minimal models conhecida como staircase model.This master thesis is an overview of integrability in two-dimensional field theories. We explore both classical and quantum aspects of these theories which are characterized by infinitely many conserved charges. At the classical level, we consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree-level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model. This model is proven to be integrable not only by explicitly finding the infinite set of conserved charges but also via the S-matrix bootstrap. We also show a deep relation between Affine Toda theories and conformal minimal models, that extends to the quantum level, where we find a family of integrable renormalization group flows between the unitary conformal minimal models, known as the staircase model
Studies in two-dimensional integrable quantum field theories
Esta dissertação de mestrado consiste de uma revisão sobre teorias quânticas de campos integráveis em duas dimensões, explorando tanto aspectos clássicos como aspectos quânticos dessas teorias munidas de infinitas cargas conservadas. Em nível clássico, consideramos uma teoria de supercampos escalares em duas dimensões com superpotencial arbitrário. Através da imposição da não produção de partículas a nível-árvore, restringimos a forma das interações adimissíveis, recuperando uma extensão supersimétrica do modelo de sinh-Gordon, o qual é provado ser integrável não somente através da obtenção do conjunto infinito de cargas conservadas, mas também através de S-matrix bootstrap. Ainda no nível clássico também mostramos uma profunda relação entre as Toda theories e os conformal minimal models, a qual se estende para nível quântico onde obtemos uma família de fluxos de renormalização entre os unitary conformal minimal models conhecida como staircase model.This master thesis is an overview of integrability in two-dimensional field theories. We explore both classical and quantum aspects of these theories which are characterized by infinitely many conserved charges. At the classical level, we consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree-level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model. This model is proven to be integrable not only by explicitly finding the infinite set of conserved charges but also via the S-matrix bootstrap. We also show a deep relation between Affine Toda theories and conformal minimal models, that extends to the quantum level, where we find a family of integrable renormalization group flows between the unitary conformal minimal models, known as the staircase model