Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4

Shai M. Chester; Luca V. Iliesiu; Silviu S. Pufu; Ran Yacoby

doi:10.1007/JHEP05(2016)103

Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4

Shai M. Chester
, Luca V. Iliesiu
, Silviu S. Pufu
, Ran Yacoby

Physics

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

31 Scopus citations

Abstract

Abstract: We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Z_i that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑_{i = 1}^NZ_i² as well as general bounds on SCFTs where ∑_{i = 1}^NZ_i² vanishes in the chiral ring.

Original language	English (US)
Article number	103
Journal	Journal of High Energy Physics
Volume	2016
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2016)103
State	Published - May 1 2016

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Conformal and W Symmetry
Extended Supersymmetry
Global Symmetries

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10.1007/JHEP05(2016)103

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title = "Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4",

abstract = "Abstract: We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Zi that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑i = 1NZi2 as well as general bounds on SCFTs where ∑i = 1NZi2 vanishes in the chiral ring.",

keywords = "Conformal and W Symmetry, Extended Supersymmetry, Global Symmetries",

author = "Chester, \{Shai M.\} and Iliesiu, \{Luca V.\} and Pufu, \{Silviu S.\} and Ran Yacoby",

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doi = "10.1007/JHEP05(2016)103",

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T1 - Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4

AU - Chester, Shai M.

AU - Iliesiu, Luca V.

AU - Pufu, Silviu S.

AU - Yacoby, Ran

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Abstract: We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Zi that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑i = 1NZi2 as well as general bounds on SCFTs where ∑i = 1NZi2 vanishes in the chiral ring.

AB - Abstract: We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Zi that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑i = 1NZi2 as well as general bounds on SCFTs where ∑i = 1NZi2 vanishes in the chiral ring.

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

KW - Global Symmetries

UR - https://www.scopus.com/pages/publications/84969921344

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DO - 10.1007/JHEP05(2016)103

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AN - SCOPUS:84969921344

SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 103

ER -

Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4

Abstract

All Science Journal Classification (ASJC) codes

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