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Counting RG flows

Gukov, Sergei

The journal of high energy physics, 2016-01, Vol.2016 (1), p.1-39, Article 20 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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  • Título:
    Counting RG flows
  • Autor: Gukov, Sergei
  • Assuntos: Classical and Quantum Gravitation ; Classification ; Counting ; Elementary Particles ; Joints ; Manifolds (mathematics) ; Obstructions ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; renormalization group ; Solitons ; String Theory ; supersymmetric gauge theory ; Topology ; Walls
  • É parte de: The journal of high energy physics, 2016-01, Vol.2016 (1), p.1-39, Article 20
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
    SC0011632
    USDOE Office of Science (SC), High Energy Physics (HEP)
  • Descrição: A bstract Interpreting renormalization group flows as solitons interpolating between different fixed points, we ask various questions that are normally asked in soliton physics but not in renormalization theory. Can one count RG flows? Are there different “topological sectors” for RG flows? What is the moduli space of an RG flow, and how does it compare to familiar moduli spaces of (supersymmetric) dowain walls? Analyzing these questions in a wide variety of contexts — from counting RG walls to AdS/CFT correspondence — will not only provide favorable answers, but will also lead us to a unified general framework that is powerful enough to account for peculiar RG flows and predict new physical phenomena. Namely, using Bott’s version of Morse theory we relate the topology of conformal manifolds to certain properties of RG flows that can be used as precise diagnostics and “topological obstructions” for the strong form of the C -theorem in any dimension. Moreover, this framework suggests a precise mechanism for how the violation of the strong C -theorem happens and predicts “phase transitions” along the RG flow when the topological obstruction is non-trivial. Along the way, we also find new conformal manifolds in well-known 4d CFT’s and point out connections with the superconformal index and classifying spaces of global symmetry groups.
  • Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
  • Idioma: Inglês
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