Compact conformal manifolds

Buican, Matthew; Nishinaka, Takahiro

doi:10.1007/JHEP01(2015)112

Title: Compact conformal manifolds

Journal Article · Wed Jan 21 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2015)112· OSTI ID:1454525

Buican, Matthew ^[1]; Nishinaka, Takahiro ^[1]

Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy

In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kähler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N-dimensional projective space conformal manifolds as certain small N = 2 → N = 1 breaking deformations of strongly interacting N = 2 SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N = 2 chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0007897; SC0010008; SC0003883

OSTI ID:: 1454525

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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On the chiral algebra of Argyres-Douglas theories and S-duality Choi, Jaewang; Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/jhep04(2018)004	journal	April 2018
Anomalies, Conformal Manifolds, and Spheres Gomis, Jaume; Hsin, Po-Shen; Komargodski, Zohar arXiv https://doi.org/10.48550/arxiv.1509.08511	text	January 2015

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