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Title: Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]; ORCiD logo [2];  [3]
  1. Univ. of California, Davis, CA (United States). Center for Quantum Mathetmatics and Physics (QMAP)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Princeton Univ., NJ (United States). Joseph Henry Lab. of Physics

We combine supersymmetric localization and the conformal bootstrap to study five-dimensional superconformal field theories. To begin, we classify the admissible counter-terms and derive a general relation between the five-sphere partition function and the conformal and flavor central charges. Along the way, we discover a new superconformal anomaly in five dimensions. We then propose a precise triple factorization formula for the five-sphere partition function, that incorporates instantons and is consistent with flavor symmetry enhancement. We numerically evaluate the central charges for the rank-one Seiberg and Morrison-Seiberg theories, and find strong evidence for their saturation of bootstrap bounds, thereby determining the spectra of long multiplets in these theories. Lastly, our results provide new evidence for the F-theorem and possibly a C-theorem in five-dimensional superconformal theories.

Research Organization:
Univ. of California, Davis (United States); California Inst of Technology, Pasadena (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Grant/Contract Number:
SC0009999; SC0011632; PHY-1607611
OSTI ID:
1502409
Journal Information:
Journal of High Energy Physics (Online), Vol. 2018, Issue 3; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science

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Пентагон Волкова для модулярного квантового дилогарифма
  • Фаддеев, Людвиг Дмитриевич; Faddeev, Lyudvig Dmitrievich
  • Функциональный анализ и его приложения, Vol. 45, Issue 4 https://doi.org/10.4213/faa3054
journal January 2011
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Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter text January 2009
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Towards a derivation of holographic entanglement entropy text January 2011
On Renormalization Group Flows in Four Dimensions text January 2011
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Comments on Chern-Simons Contact Terms in Three Dimensions text January 2012
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Supersymmetric gauge theories on five-manifolds text January 2015
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Cited By (18)

Chern-Simons theory from M5-branes and calibrated M2-branes journal August 2019
Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry journal November 2019
Black hole microstate counting in Type IIB from 5d SCFTs journal May 2019
2d small N=4 Long-multiplet superconformal block journal February 2019
On Mellin amplitudes in SCFTs with eight supercharges journal July 2018
Precision Test of AdS 6 / CFT 5 in Type IIB String Theory journal October 2018
Wilson loops in 5d N = 1 $$ \mathcal{N}=1 $$ theories and S-duality journal October 2018
Exact results for 5d SCFTs of long quiver type journal November 2019
Bootstrapping the half-BPS line defect text January 2018
5d partition functions with a twist journal November 2018
Solving M-theory with the Conformal Bootstrap text January 2017
Romans Supergravity from Five-Dimensional Holograms text January 2017
Exploring 2-Group Global Symmetries text January 2018
On Mellin Amplitudes in SCFTs with Eight Supercharges text January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications text January 2018
Massive spin 2 excitations in $AdS_6\times S^2$ warped spacetimes text January 2018
2d small N=4 Long-multiplet superconformal block text January 2018
The unitary subsector of generalized minimal models text January 2017

Figures / Tables (23)