Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Fermion-scalar conformal blocks

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [5];  [4]
  1. Princeton Univ., NJ (United States); Joseph Henry Laboratories, Princeton University, Washington Road, Princeton, NJ 08544, U.S.A.
  2. Yale Univ., New Haven, CT (United States)
  3. Yale Univ., New Haven, CT (United States); Institute for Advanced Study, Princeton, NJ (United States)
  4. Princeton Univ., NJ (United States)
  5. Institute for Advanced Study, Princeton, NJ (United States)
+ Show Author Affiliations
In this study, we compute the conformal blocks associated with scalar-scalar-fermionfermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called ‘seed blocks’ in three dimensions. In addition, conformal blocks associated with 4-point functions of operators with arbitrary spins can now be determined from these seed blocks by using known differential operators.
Research Organization:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009988
OSTI ID:
1327008
Alternate ID(s):
OSTI ID: 22605260
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2016; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (34)

Improved bounds for CFT’s with global symmetries journal January 2012
Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators journal January 2016
Accidental symmetries and the conformal bootstrap journal January 2016
Scalar-vector bootstrap journal January 2016
Conformal correlators of mixed-symmetry tensors journal February 2015
Bootstrapping the 3d Ising twist defect journal March 2014
Exact correlators of BPS Operators from the 3d superconformal bootstrap journal March 2015
No unitary bootstrap for the fractal Ising model journal March 2015
Bootstrapping 3D fermions journal March 2016
Projectors, shadows, and conformal blocks journal April 2014
Bounds on 4D conformal and superconformal field theories journal May 2011
Carving out the space of 4D CFTs journal May 2012
Bootstrapping the O(N ) vector models journal June 2014
A semidefinite program solver for the conformal bootstrap journal June 2015
The bootstrap program for boundary CFT d journal July 2013
Bounds on N $$ \mathcal{N} $$ = 1 superconformal theories with global symmetries journal August 2014
Deconstructing conformal blocks in 4D CFT journal August 2015
Bootstrapping SCFTs with four supercharges journal August 2015
The N = 8 $$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions journal September 2014
The superconformal bootstrap for structure constants journal September 2014
Bounds on OPE coefficients in 4D Conformal Field Theories journal October 2014
Spinning conformal blocks journal November 2011
Bootstrapping mixed correlators in the 3D Ising model journal November 2014
Bootstrapping the O(N) archipelago journal November 2015
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents journal June 2014
Tensor representations of conformal algebra and conformally covariant operator product expansion journal March 1973
Duality in quantum field theory journal February 1977
Conformal four point functions and the operator product expansion journal April 2001
Conformal partial waves and the operator product expansion journal February 2004
Five dimensional O(N)-symmetric CFTs from conformal bootstrap journal June 2014
Bounding scalar operator dimensions in 4 D CFT journal December 2008
N = 4 Superconformal Bootstrap journal August 2013
Conformal Field Theories in Fractional Dimensions journal April 2014
Bootstrapping the Three Dimensional Supersymmetric Ising Model journal July 2015

Cited By (13)

A Mellin space approach to the conformal bootstrap journal May 2017
Dimensional reduction for conformal blocks journal September 2016
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems journal October 2017
Conformal correlators and blocks with spinors in general dimensions journal September 2017
Four-loop critical exponents for the Gross-Neveu-Yukawa models journal November 2017
Superintegrability of d -Dimensional Conformal Blocks journal August 2016
The conformal bootstrap: Theory, numerical techniques, and applications journal January 2019
Superintegrability of $d$-Dimensional Conformal Blocks text January 2016
Four-loop critical exponents for the Gross-Neveu-Yukawa models text January 2017
Superintegrability of $d$-dimensional Conformal Blocks text January 2016
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems text January 2017
Four-loop critical exponents for the Gross-Neveu-Yukawa models text January 2017
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications text January 2018

Similar Records

Weight shifting operators and conformal blocks
Journal Article · Tue Feb 13 19:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1502431
Bootstrapping 3D fermions
Journal Article · Wed Mar 16 20:00:00 EDT 2016 · Journal of High Energy Physics (Online) · OSTI ID:1326984
Fermion conformal bootstrap in 4d
Journal Article · Mon Jun 17 20:00:00 EDT 2019 · Journal of High Energy Physics (Online) · OSTI ID:1596663

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Conformal and W Symmetry
Nonperturbative Effects