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Title: Carving out the end of the world or (superconformal bootstrap in six dimensions)

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

We bootstrap N=(1,0) superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. By assuming E8 flavor group, we present universal bounds on the central charge CT and the flavor central charge CJ. Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on CJ , and numerically determine the spectrum of long multiplets in the rank-one E-string theory. We comment on the possibility of solving the higher-rank E-string theories by bootstrap and thereby probing M-theory on AdS7×S4/Z2 .

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); Harvard Univ., Cambridge, MA (United States); Yale Univ., New Haven, CT (United States); Univ. of California, Davis, CA (United States); Univ. of Amsterdam, Amsterdam (Netherlands); Princeton Univ., NJ (United States); Sherman Fairchild Foundation
Grant/Contract Number:
sc0011632
OSTI ID:
1425377
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 8; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 41 works
Citation information provided by
Web of Science

References (89)

Weyl cocycles journal July 1986
Carving out the space of 4D CFTs journal May 2012
Comments on string dynamics in six dimensions journal July 1996
N = 2 dualities journal August 2012
Exact Spectrum of Planar N = 4 Supersymmetric Yang-Mills Theory: Konishi Dimension at Any Coupling journal May 2010
Geometric classification of conformal anomalies in arbitrary dimensions journal July 1993
The N = 2 $$ \mathcal{N}=2 $$ superconformal bootstrap journal March 2016
Aspects of superconformal multiplets in D > 4 journal November 2016
Accidental symmetries and the conformal bootstrap journal January 2016
Anomaly polynomial of E-string theories journal August 2014
Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence journal February 2000
Bootstrapping the O(N ) vector models journal June 2014
The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD journal July 1996
Indices for superconformal field theories in 3, 5 and 6 dimensions journal February 2008
Extremal transitions and five-dimensional supersymmetric field theories journal January 1997
A new 6d fixed point from holography journal November 2016
Argyres-Seiberg Duality and the Higgs Branch journal December 2009
6d Conformal matter journal February 2015
Universal properties of superconformal OPEs for 1/2 BPS operators in 3 D 6 journal January 2002
N $$ \mathcal{N} $$ = 4 superconformal bootstrap of the K3 CFT journal May 2017
On RG flow of τ RR for supersymmetric field theories in three-dimensions journal May 2013
Small E8 instantons and tensionless non-critical strings journal August 1996
Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories journal October 2016
A critical behaviour of anomalous currents, electric-magnetic universality and CFT4 journal April 1997
The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories journal April 1996
Recursion relations for conformal blocks journal September 2016
Comments on squashed-sphere partition functions journal July 2017
Conformal anomaly c-coefficients of superconformal 6d theories journal January 2016
Duality in quantum field theory journal February 1977
Bootstrapping N = 3 $$ \mathcal{N}=3 $$ superconformal theories journal April 2017
Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories journal October 2012
Gravity Dual of Supersymmetric Gauge Theories on a Squashed Five-Sphere journal September 2014
Modified Elliptic Gamma Functions and 6d Superconformal Indices journal December 2013
More on the matter of 6D SCFTs journal July 2015
6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching journal October 2014
A semidefinite program solver for the conformal bootstrap journal June 2015
Tensor representations of conformal algebra and conformally covariant operator product expansion journal March 1973
C T for higher derivative conformal fields and anomalies of (1, 0) superconformal 6d theories journal June 2017
Conformal partial waves and the operator product expansion journal February 2004
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents journal June 2014
Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs journal June 2015
(2, 2) superconformal bootstrap in two dimensions journal May 2017
Bootstrapping 3D fermions journal March 2016
Constraining conformal field theories with a higher spin symmetry in d > 3 dimensions journal March 2016
Conformal bootstrap in Liouville field theory journal October 1996
Infinite Chiral Symmetry in Four Dimensions journal January 2015
Superconformal blocks for SCFTs with eight supercharges journal July 2017
Supersymmetric field theories on three-manifolds journal May 2013
4d N = 1 $$ \mathcal{N}=1 $$ from 6d (1, 0) journal April 2017
Bootstrapping the O(N) archipelago journal November 2015
One-loop β-function in conformal supergravities journal August 1982
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD journal December 1994
Non-abelian tensor-multiplet anomalies journal September 1998
Precision islands in the Ising and O(N ) models journal August 2016
Five dimensional SUSY field theories, non-trivial fixed points and string dynamics journal November 1996
On C J and C T in conformal QED journal August 2016
SUSY gauge theories on squashed three-spheres journal May 2011
Bounds on 4D conformal and superconformal field theories journal May 2011
Notes on superconformal Chern-Simons-Matter theories journal August 2007
Punctures for theories of class S Γ $$ {\mathcal{S}}_{\varGamma } $$ journal March 2017
Supersymmetric AdS7 backgrounds in half-maximal supergravity and marginal operators of (1, 0) SCFTs journal October 2015
Conformal supergravity journal March 1985
A semi-classical limit of the gauge/string correspondence journal August 2002
Bounding scalar operator dimensions in 4 D CFT journal December 2008
Supersymmetric gauge theories on squashed five-spheres and their gravity duals journal September 2014
N = 4 Superconformal Bootstrap journal August 2013
C T for non-unitary CFTs in higher dimensions journal June 2016
Bootstrapping Conformal Field Theories with the Extremal Functional Method journal December 2013
On Four-Point Functions of Half-BPS Operators in General Dimensions journal September 2004
Branes, Calabi-Yau spaces, and toroidal compactification of the N = 1 six-dimensional E8 theory journal March 1997
Implications of Conformal Invariance in Field Theories for General Dimensions journal May 1994
Bootstrapping mixed correlators in the five dimensional critical O(N) models journal April 2017
Exact correlators of BPS Operators from the 3d superconformal bootstrap journal March 2015
The N = 8 $$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions journal September 2014
Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators journal January 2016
Unitarity and the holographic S-Matrix journal October 2012
Bootstrapping mixed correlators in 4D N $$ \mathcal{N} $$ = 1 SCFTs journal July 2017
Supersymmetric Rényi entropy and Anomalies in 6d (1,0) SCFTs journal April 2017
Deformations of superconformal theories journal November 2016
Bounds on OPE coefficients in 4D Conformal Field Theories journal October 2014
On the classification of 6D SCFTs and generalized ADE orbifolds journal May 2014
Conformal a-anomaly of some non-unitary 6d superconformal theories journal September 2015
Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories journal August 2000
Bootstrapping mixed correlators in the 3D Ising model journal November 2014
Diagonal limit for conformal blocks in d dimensions journal August 2013
The D4–D8 brane system and five dimensional fixed points journal August 1999
Conformal symmetry in two dimensions: An explicit recurrence formula for the conformal partial wave amplitude journal September 1984
On mirror symmetry in three dimensional Abelian gauge theories journal April 1999
TASI Lectures on AdS/CFT conference January 2017

Cited By (24)

6d surface defects from massive type IIA journal January 2018
Inverse bootstrapping conformal field theories journal January 2018
AdS7/CFT6 with orientifolds journal January 2018
2d small N=4 Long-multiplet superconformal block journal February 2019
On Mellin amplitudes in SCFTs with eight supercharges journal July 2018
4D gauge theories with conformal matter journal September 2018
Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry journal November 2019
Punctures and dynamical systems journal August 2018
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017
Bootstrapping the half-BPS line defect text January 2018
Superconformal blocks: general theory text January 2020
Superconformal Blocks: General Theory text January 2019
Superconformal blocks: general theory journal January 2020
Weight Shifting Operators and Conformal Blocks text January 2017
Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey text January 2017
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017
Solving M-theory with the Conformal Bootstrap text January 2017
4D Gauge Theories with Conformal Matter text January 2018
On Mellin Amplitudes in SCFTs with Eight Supercharges text January 2018
M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture text January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications text January 2018
Fission, Fusion, and 6D RG Flows text January 2018
2d small N=4 Long-multiplet superconformal block text January 2018
autoboot: A generator of bootstrap equations with global symmetry preprint January 2019

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