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

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2];  [3]
  1. Univ. of California, Davis, CA (United States). Center for Quantum Mathetmatics and Physics (QMAP); Univ. of California, Davis (United States)
  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
+ Show Author Affiliations
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:
California Inst of Technology, Pasadena (United States); Univ. of California, Davis (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0009999; SC0011632
OSTI ID:
1502409
Alternate ID(s):
OSTI ID: 22739288
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Пентагон Волкова для модулярного квантового дилогарифма
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  • Функциональный анализ и его приложения, Vol. 45, Issue 4 https://doi.org/10.4213/faa3054
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Cited By (26)

autoboot: a generator of bootstrap equations with global symmetry journal June 2019
The unitary subsector of generalized minimal models text January 2017
2d small N=4 Long-multiplet superconformal block journal February 2019
Exploring 2-group global symmetries journal February 2019
Romans supergravity from five-dimensional holograms journal May 2018
Black hole microstate counting in Type IIB from 5d SCFTs journal May 2019
Solving M-theory with the conformal bootstrap journal June 2018
Massive spin 2 excitations in AdS6 × S2 warped spacetimes journal July 2018
On Mellin amplitudes in SCFTs with eight supercharges journal July 2018
Chern-Simons theory from M5-branes and calibrated M2-branes journal August 2019
Bootstrapping the half-BPS line defect journal October 2018
Wilson loops in 5d N = 1 $$ \mathcal{N}=1 $$ theories and S-duality journal October 2018
5d partition functions with a twist journal November 2018
Exact results for 5d SCFTs of long quiver type journal November 2019
Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry journal November 2019
Precision Test of AdS 6 / CFT 5 in Type IIB String Theory journal October 2018
The conformal bootstrap: Theory, numerical techniques, and applications journal January 2019
Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective journal January 2019
Bootstrapping the half-BPS line defect text January 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

Figures / Tables (23)

Table 1(p. 23)table Table 1
Figure 1(p. 24)figure Figure 1
Table 2(p. 34)table Table 2
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Table 5(p. 36)table Table 5
Table 6(p. 39)table Table 6
Figure 2(p. 41)figure Figure 2
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Figure 7(p. 47)figure Figure 7
Table 7(p. 47)table Table 7
Table 8(p. 47)table Table 8
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Figure 8(p. 48)figure Figure 8
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Table 10(p. 56)table Table 10
Figure 12(p. 61)figure Figure 12
Table 11(p. 68)table Table 11

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