Handling handles. Part II. Stratification and data analysis

Autor: Shota Komatsu, Till Bargheer, Joao Caetano, Pedro Vieira, Thiago Fleury
Přispěvatelé: Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Leibniz Universität Hannover, DESY Hamburg, University of California, UPMC & Sorbonne Universités, Universidade Federal do Rio Grande do Norte, Institute for Advanced Study, Perimeter Institute for Theoretical Physics, Universidade Estadual Paulista (Unesp), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
High Energy Physics - Theory
Nuclear and High Energy Physics
4 [supersymmetry]
Stratification (water)
FOS: Physical sciences
1/N Expansion
triangulation
1/N expansion
AdS-CFT Correspondence
integrability
Computer Science::Digital Libraries
01 natural sciences
Supersymmetric Gauge Theory
symbols.namesake
0103 physical sciences
tree approximation
ddc:530
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
correlation function
Integrable Field Theories
string: quantization
010306 general physics
mirror
Physics
Coupling constant
Discrete mathematics
form factor
010308 nuclear & particles physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Riemann surface
Degenerate energy levels
coupling constant
16. Peace & justice
quantization [string]
Moduli space
AdS/CFT correspondence
High Energy Physics - Theory (hep-th)
Supersymmetric gauge theory
supersymmetry: 4
Computer Science::Mathematical Software
symbols
lcsh:QC770-798
moduli space
Zdroj: Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2018, 11, pp.095. ⟨10.1007/JHEP11(2018)095⟩
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
JHEP
JHEP, 2018, 11, pp.095. ⟨10.1007/JHEP11(2018)095⟩
Journal of High Energy Physics, Vol 2018, Iss 11, Pp 1-104 (2018)
Journal of High Energy Physics (2018), Nr. 11
Journal of high energy physics 1811(11), 095 (2018). doi:10.1007/JHEP11(2018)095
ISSN: 1126-6708
1029-8479
DOI: 10.1007/JHEP11(2018)095⟩
Popis: In a previous work, we proposed an integrability setup for computing non-planar corrections to correlation functions in $\mathcal{N}=4$ super Yang-Mills theory at any value of the coupling constant. The procedure consists of drawing all possible tree-level graphs on a Riemann surface of given genus, completing each graph to a triangulation, inserting a hexagon form factor into each face, and summing over a complete set of states on each edge of the triangulation. The summation over graphs can be interpreted as a quantization of the string moduli space integration. The quantization requires a careful treatment of the moduli space boundaries, which is realized by subtracting degenerate Riemann surfaces; this procedure is called stratification. In this work, we precisely formulate our proposal and perform several perturbative checks. These checks require hitherto unknown multi-particle mirror contributions at one loop, which we also compute.
Comment: 99 pages, 261 figures, comments welcome; v2: minor improvements, updated references (published version)
Databáze: OpenAIRE
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