skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fermion-scalar conformal blocks

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [1];  [4];  [1]
  1. Princeton Univ., NJ (United States)
  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. 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
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 4; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 63 works
Citation information provided by
Web of Science

References (34)

Tensor representations of conformal algebra and conformally covariant operator product expansion journal March 1973
Duality in quantum field theory journal February 1977
Bounding scalar operator dimensions in 4 D CFT journal December 2008
Bounds on 4D conformal and superconformal field theories journal May 2011
Improved bounds for CFT’s with global symmetries journal January 2012
Carving out the space of 4D CFTs journal May 2012
The bootstrap program for boundary CFT d journal July 2013
N = 4 Superconformal Bootstrap journal August 2013
Bootstrapping the O(N ) vector models journal June 2014
Conformal Field Theories in Fractional Dimensions journal April 2014
The superconformal bootstrap for structure constants journal September 2014
Bootstrapping the 3d Ising twist defect journal March 2014
Bounds on N $$ \mathcal{N} $$ = 1 superconformal theories with global symmetries journal August 2014
Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents journal June 2014
Five dimensional <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-symmetric CFTs from conformal bootstrap journal June 2014
The N = 8 $$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions journal September 2014
Bootstrapping mixed correlators in the 3D Ising model journal November 2014
Bounds on OPE coefficients in 4D Conformal Field Theories journal October 2014
No unitary bootstrap for the fractal Ising model journal March 2015
Exact correlators of BPS Operators from the 3d superconformal bootstrap journal March 2015
A semidefinite program solver for the conformal bootstrap journal June 2015
Bootstrapping the Three Dimensional Supersymmetric Ising Model journal July 2015
Bootstrapping SCFTs with four supercharges journal August 2015
Bootstrapping the O(N) archipelago journal November 2015
Accidental symmetries and the conformal bootstrap journal January 2016
Bootstrapping 3D fermions journal March 2016
Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators journal January 2016
Conformal four point functions and the operator product expansion journal April 2001
Conformal partial waves and the operator product expansion journal February 2004
Spinning conformal blocks journal November 2011
Deconstructing conformal blocks in 4D CFT journal August 2015
Projectors, shadows, and conformal blocks journal April 2014
Conformal correlators of mixed-symmetry tensors journal February 2015
Scalar-vector bootstrap journal January 2016

Cited By (8)

A Mellin space approach to the conformal bootstrap journal May 2017
Conformal correlators and blocks with spinors in general dimensions journal September 2017
Four-loop critical exponents for the Gross-Neveu-Yukawa models text January 2017
Superintegrability of $d$-Dimensional Conformal Blocks text January 2016
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 · Wed Feb 14 00:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1327008
blocks_3d: software for general 3d conformal blocks
Journal Article · Tue Nov 02 00:00:00 EDT 2021 · Journal of High Energy Physics (Online) · OSTI ID:1327008
+3 more
Bootstrapping 3D fermions
Journal Article · Thu Mar 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online) · OSTI ID:1327008
+3 more

Related Subjects

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