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  Anomalies, Conformal Manifolds, and Spheres

Gomis, J., Komargodski, Z., Hsin, P.-S., Schwimmer, A., Seiberg, N., & Theisen, S. (2016). Anomalies, Conformal Manifolds, and Spheres. Journal of high energy physics: JHEP, 2016(03): 022. doi:10.1007/JHEP03(2016)022.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0D2C-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EC63-5
Genre: Journal Article

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 Creators:
Gomis, Jaume, Author
Komargodski, Zohar, Author
Hsin, Po-Shen, Author
Schwimmer, Adam, Author
Seiberg, Nathan, Author
Theisen, Stefan1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: The two-point function of exactly marginal operators leads to a universal contribution to the trace anomaly in even dimensions. We study aspects of this trace anomaly, emphasizing its interpretation as a sigma model, whose target space M is the space of conformal field theories (a.k.a. the conformal manifold). When the underlying quantum field theory is supersymmetric, this sigma model has to be appropriately supersymmetrized. As examples, we consider in some detail N=(2,2) and N=(0,2) supersymmetric theories in d=2 and N=2 supersymmetric theories in d=4. This reasoning leads to new information about the conformal manifolds of these theories, for example, we show that the manifold is Kahler-Hodge and we further argue that it has vanishing Kahler class. For N=(2,2) theories in d=2 and N=2 theories in d=4 we also show that the relation between the sphere partition function and the Kahler potential of M follows immediately from the appropriate sigma models that we construct. Along the way we find several examples of potential trace anomalies that obey the Wess-Zumino consistency conditions, but can be ruled out by a more detailed analysis.

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 Dates: 2015-09-282016
 Publication Status: Published in print
 Pages: harvmac, 38 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1509.08511
DOI: 10.1007/JHEP03(2016)022
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Pages: - Volume / Issue: 2016 (03) Sequence Number: 022 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002