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Title: Handling handles. Part II. Stratification and data analysis

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [5]
  1. Leibniz Univ. Hannover (Germany); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of California, Santa Barbara, CA (United States); Institute for Advanced Study
  2. Lab. of Theoretical Physics of the École Normale Supérieure (LPTENS), Paris (France); Centre National de la Recherche Scientifique (CNRS), Paris (France); Pierre and Marie Curie Univ. (UPMC), Paris (France); Sorbonne Univ., Paris (France)
  3. Lab. of Theoretical Physics of the École Normale Supérieure (LPTENS), Paris (France); Centre National de la Recherche Scientifique (CNRS), Paris (France); Pierre and Marie Curie Univ. (UPMC), Paris (France); Sorbonne Univ., Paris (France); Federal Univ. of Rio Grande do Norte (Brazil)
  4. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  5. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); São Paulo State Univ. (Brazil)
+ Show Author Affiliations

In a previous work, we proposed an integrability setup for computing nonplanar 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.

Research Organization:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
Contributing Organization:
Perimeter Institute for Theoretical Physics
Grant/Contract Number:
SC0009988
OSTI ID:
1596659
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

More exact results in the Wilson loop defect CFT: bulk-defect OPE, nonplanar corrections and quantum spectral curve journal February 2019
Handling Handles: Nonplanar Integrability in N = 4 Supersymmetric Yang-Mills Theory journal December 2018

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Related Subjects

Supersymmetric Gauge Theory
1/N Expansion
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AdS-CFT Correspondence
Integrable Field Theories