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- W2884545427 abstract "A bstract Supersymmetric partition function of $$ mathcal{N}=1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> superconformal theories on S β 1 × S 3 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 $$ mathcal{N}=1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> 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 $$ mathcal{N}=4 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> conformal supergravity." @default.
- W2884545427 created "2018-08-03" @default.
- W2884545427 creator A5036218419 @default.
- W2884545427 creator A5087034768 @default.
- W2884545427 date "2018-10-01" @default.
- W2884545427 modified "2023-09-23" @default.
- W2884545427 title "Superconformal index of higher derivative $$ mathcal{N}=1 $$ multiplets in four dimensions" @default.
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- W2884545427 doi "https://doi.org/10.1007/jhep10(2018)087" @default.
- W2884545427 hasPublicationYear "2018" @default.
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