Superconformal index of higher derivative N=1 multiplets in four dimensions

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Title: Superconformal index of higher derivative N=1 multiplets in four dimensions
Author(s): Beccaria, M
Tseytlin, AA
Item Type: Journal Article
Abstract: Supersymmetric partition function of N=1 superconformal theories on S β 1  × S3 is related to the superconformal index receiving contributions from short representations. The leading coefficients in the small β (high “temperature”) expansion of the index were previously related to the conformal anomaly coefficients of the theory. Assumptions underlying universality of these relations were tested only for simplest low-spin unitary multiplets. Here we consider examples of higher derivative non-unitary N=1 multiplets that naturally appear in the context of extended conformal supergravities and compute their superconformal index. We compare the coefficients in the small β expansion of the index with those proposed earlier for unitary multiplets and suggest some modifications that should apply universally to all types of theories. We also comment on the structure of subleading terms and the case of N=4 conformal supergravity.
Publication Date: 15-Oct-2018
Date of Acceptance: 10-Oct-2018
URI: http://hdl.handle.net/10044/1/64431
DOI: https://dx.doi.org/10.1007/JHEP10(2018)087
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2018
Issue: 10
Sponsor/Funder: Commission of the European Communities
Science and Technology Facilities Council (STFC)
Funder's Grant Number: 290456
ST/L00044X/1
Copyright Statement: © 2018 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Supersymmetric Gauge Theory
AdS-CFT Correspondence
Supergravity Models
CONFORMAL FIELD-THEORIES
DYNAMICAL SUSY BREAKING
DIFFERENTIAL GEOMETRY
GAMMA-FUNCTION
GAUGE-THEORIES
SUPERGRAVITY
ANOMALIES
SUPERSPACE
FREEDOM
TENSOR
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Supersymmetric Gauge Theory
AdS-CFT Correspondence
Supergravity Models
CONFORMAL FIELD-THEORIES
DYNAMICAL SUSY BREAKING
DIFFERENTIAL GEOMETRY
GAMMA-FUNCTION
GAUGE-THEORIES
SUPERGRAVITY
ANOMALIES
SUPERSPACE
FREEDOM
TENSOR
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 087
Online Publication Date: 2018-10-15
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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