Sphere partition functions and the kahler metric on the conformal manifold

Efrat Gerchkovitz; Zohar Komargodski

doi:10.1007/978-981-10-2636-2_7

Sphere partition functions and the kahler metric on the conformal manifold

Efrat Gerchkovitz
, Zohar Komargodski

Simons Center for Geometry & Physics

Weizmann Institute of Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We discuss marginal operators in N = 2 Superconformal Field Theories in four dimensions. These operators are necessarily exactly marginal and they lead to a manifold, M, of Superconformal Field Theories. The space M is argued to be a Kahler manifold. We further argue that upon a stereographic projection of R⁴ to S⁴, the partition function Z_S⁴ measures the Kahler potential. These results are established by a careful study of the interplay between conformal anomalies and the space M.

Original language	English
Title of host publication	Lie Theory and Its Applications in Physics
Editors	Vladimir Dobrev
Publisher	Springer New York LLC
Pages	101-110
Number of pages	10
ISBN (Print)	9789811026355
DOIs	https://doi.org/10.1007/978-981-10-2636-2_7
State	Published - 2016
Event	Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015 - Varna, Bulgaria Duration: Jun 15 2015 → Jun 21 2015

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	191
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015
Country/Territory	Bulgaria
City	Varna
Period	06/15/15 → 06/21/15

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10.1007/978-981-10-2636-2_7

Cite this

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title = "Sphere partition functions and the kahler metric on the conformal manifold",

abstract = "We discuss marginal operators in N = 2 Superconformal Field Theories in four dimensions. These operators are necessarily exactly marginal and they lead to a manifold, M, of Superconformal Field Theories. The space M is argued to be a Kahler manifold. We further argue that upon a stereographic projection of R4 to S4, the partition function ZS4 measures the Kahler potential. These results are established by a careful study of the interplay between conformal anomalies and the space M.",

author = "Efrat Gerchkovitz and Zohar Komargodski",

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Gerchkovitz, E & Komargodski, Z 2016, Sphere partition functions and the kahler metric on the conformal manifold. in V Dobrev (ed.), Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics and Statistics, vol. 191, Springer New York LLC, pp. 101-110, Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015, Varna, Bulgaria, 06/15/15. https://doi.org/10.1007/978-981-10-2636-2_7

Sphere partition functions and the kahler metric on the conformal manifold. / Gerchkovitz, Efrat; Komargodski, Zohar.
Lie Theory and Its Applications in Physics. ed. / Vladimir Dobrev. Springer New York LLC, 2016. p. 101-110 (Springer Proceedings in Mathematics and Statistics; Vol. 191).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We discuss marginal operators in N = 2 Superconformal Field Theories in four dimensions. These operators are necessarily exactly marginal and they lead to a manifold, M, of Superconformal Field Theories. The space M is argued to be a Kahler manifold. We further argue that upon a stereographic projection of R4 to S4, the partition function ZS4 measures the Kahler potential. These results are established by a careful study of the interplay between conformal anomalies and the space M.

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Sphere partition functions and the kahler metric on the conformal manifold

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