Chern-Simons invariants from ensemble averages

Autor: Masahito Yamazaki, Jacob M. Leedom, Meer Ashwinkumar, Matthew Dodelson, Abhiram Kidambi
Jazyk: angličtina
Rok vydání: 2021
Předmět:
High Energy Physics - Theory
Nuclear and High Energy Physics
Chern-Simons Theories
Modular form
Chern–Simons theory
Duality (optimization)
FOS: Physical sciences
Kinetic term
QC770-798
AdS-CFT Correspondence
01 natural sciences
Atomic
Gauge-gravity correspondence
High Energy Physics::Theory
Particle and Plasma Physics
Nuclear and particle physics. Atomic energy. Radioactivity
0103 physical sciences
FOS: Mathematics
Nuclear
Number Theory (math.NT)
0101 mathematics
010306 general physics
Mathematical Physics
Mathematical physics
Physics
Quantum Physics
Conformal Field Theory
Mathematics - Number Theory
Conformal field theory
010102 general mathematics
Molecular
Partition function (mathematics)
Nuclear & Particles Physics
AdS/CFT correspondence
High Energy Physics - Theory (hep-th)
Quadratic form
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 8, Pp 1-34 (2021)
Journal of High Energy Physics, vol 2021, iss 8
Journal of High Energy Physics
ISSN: 1029-8479
Popis: We discuss ensemble averages of two-dimensional conformal field theories associated with an arbitrary indefinite lattice with integral quadratic form $Q$. We provide evidence that the holographic dual after the ensemble average is the three-dimensional Abelian Chern-Simons theory with kinetic term determined by $Q$. The resulting partition function can be written as a modular form, expressed as a sum over the partition functions of Chern-Simons theories on lens spaces. For odd lattices, the dual bulk theory is a spin Chern-Simons theory, and we identify several novel phenomena in this case. We also discuss the holographic duality prior to averaging in terms of Maxwell-Chern-Simons theories.
Comment: 38 pages, 1 figure
Databáze: OpenAIRE
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