Sökning: "Integrability theory"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden Integrability theory.

1. 1. Dualities, Symmetries and Unbroken Phases in String Theory : Probing the Composite Nature of the String

   Författare :Johan Engquist; Joseph Minahan; Charlotte Kristjansen; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Physics; Theoretical Physics; String Theory; M-Theory; Higher Spin Gauge Theory; Super Yang-Mills Theory; Anti-de Sitter Spacetime; Singletons; Massless Higher Spin Gauge Fields; AdS CFT Correspondence; Spin Chains; Semiclassical Strings; Tensionless Limits; Conformal Symmetry; Supersymmetry; Higher Spin Gauge Symmetry; Integrability; Fysik; Physics; Fysik;

   Sammanfattning : The thesis treats aspects of string/M-theory in anti-de Sitter spacetimes and their supersymmetric completions. By applying the AdS/CFT correspondence, as well as models of spin chains and singletons, we try to attain a better understanding of the underlying symmetries and the unbroken phases of string/M-theory. LÄS MER

3. 2. On string integrability : A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities

   Författare :Valentina Giangreco Marotta Puletti; Konstantin Zarembo; Gleb Arutyunov; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; String Theory; AdS-CFT correspondence; Integrable Field theory; Sigma models; S-matrix; Factorized Scattering; Physics; Fysik; Mathematical physics; Matematisk fysik; Theoretical Physics; teoretisk fysik;

   Sammanfattning : One of the main topics in the modern String Theory are the conjectured string/gauge (AdS/CFT) dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, i.e. LÄS MER

4. 3. Aspects of the Duality between Supersymmetric Yang-Mills Theory and String Theory

   Författare :Daniel Bundzik; Teoretisk partikelfysik - Geonomgår omorganisation; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematisk och allmän teoretisk fysik; classical mechanics; quantum mechanics; relativity; gravitation; statistical physics; thermodynamics; Natural science; Naturvetenskap; Physics; Fysik; Mathematical and general theoretical physics; Star product; Leigh-Strassler deformation; R-matrix; Integrability; Spin-chains; Fractional D-branes; type IIB string theory; AdS CFT-correspondence; gauge gravity correspondence; kvantmekanik; klassisk mekanik; termodynamik; statistisk fysik; relativitet;

   Sammanfattning : This thesis deals with three topics related to the Ads/CFT correspondence. In Paper I, solutions describing the geometry of fractional D1-branes of Type IIB string theory are presented. The running coupling constant is computed on the gauge theory side. LÄS MER

5. 4. Topics in perturbation theory : From IBP identities to integrands

   Författare :Alessandro Georgoudis; Joseph A. Minahan; Tristan McLoughlin; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Perturbation theory; Feynman Integrals; Integrable field theories; Correlation functions.; Theoretical Physics; Teoretisk fysik;

   Sammanfattning : In this thesis we present different topics in perturbation theory. We start by introducing the method of integration by parts identities, which reduces a generic Feynman integral to a linear combination of a finite basis of master integrals. LÄS MER

7. 5. Spins and Giants : Fundamental Excitations in Weakly and  Strongly Coupled ABJM Theory

   Författare :Olof Ohlsson Sax; Joseph A. Minahan; Gianluca Grignani; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; String theory; AdS CFT correspondence; Integrable field theory; Mathematical physics; Matematisk fysik; Theoretical Physics; Teoretisk fysik;

   Sammanfattning : The discovery of integrability on both sides of the duality between planar N=4 super Yang-Mills theory and free type IIB string theory in AdS5 × S5 has lead to great progress in our understanding of the AdS/CFT correspondence. Similar integrable structures also appear in the more recent three-dimensional superconformal N=6 Chern-Simons-matter theory constructed by Aharony, Bergman, Jafferis and Maldacena (ABJM), as well as in its gravity dual, type IIA string theory on AdS4 × CP3. LÄS MER