The N = 2 superconformal bootstrap

Christopher Beem; Madalena Lemos; Pedro Liendo; Leonardo Rastelli; Balt C. van Rees

doi:10.1007/JHEP03(2016)183

The N = 2 superconformal bootstrap

Christopher Beem
, Madalena Lemos
, Pedro Liendo
, Leonardo Rastelli
, Balt C. van Rees

Institute for Advanced Study
Stony Brook University
Humboldt-Universität zu Berlin
European Organization for Nuclear Research

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: In this work we initiate the conformal bootstrap program for (Formula presented.) super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of (Formula presented.) chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any (Formula presented.) superconformal field theory.

Original language	English
Article number	183
Journal	Journal of High Energy Physics
Volume	2016
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2016)183
Publication status	Published - 1 Mar 2016
Externally published	Yes

Keywords

Conformal Field Models in String Theory
Conformal and W Symmetry
Extended Supersymmetry
Supersymmetric gauge theory

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10.1007/JHEP03(2016)183

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title = "The N = 2 superconformal bootstrap",

abstract = "Abstract: In this work we initiate the conformal bootstrap program for (Formula presented.) super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of (Formula presented.) chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any (Formula presented.) superconformal field theory.",

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T1 - The N = 2 superconformal bootstrap

AU - Beem, Christopher

AU - Lemos, Madalena

AU - Liendo, Pedro

AU - Rastelli, Leonardo

AU - van Rees, Balt C.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - Abstract: In this work we initiate the conformal bootstrap program for (Formula presented.) super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of (Formula presented.) chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any (Formula presented.) superconformal field theory.

AB - Abstract: In this work we initiate the conformal bootstrap program for (Formula presented.) super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of (Formula presented.) chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any (Formula presented.) superconformal field theory.

KW - Conformal Field Models in String Theory

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

KW - Supersymmetric gauge theory

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U2 - 10.1007/JHEP03(2016)183

DO - 10.1007/JHEP03(2016)183

M3 - Article

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SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 183

ER -

The N = 2 superconformal bootstrap

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Keywords

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