On rational points in CFT moduli spaces
On rational points in CFT moduli spaces
Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with S1 target space in detail and uncover hitherto unknown features. We find for instance that the vanishing of the twist gap, though true for the S1 example, does not automatically follow from enhanced symmetry points being dense in the moduli space. We then explore the supersymmetric sigma-model on K3 by perturbing away from the torus orbifold locus. Though we do not reach a definite conclusion on the distribution of enhanced symmetry points in the K3 moduli space, we make several observations on how chiral currents can emerge and disappear under conformal perturbation theory.
Benjamin, Nathan
2d6a5af2-5a93-41ff-8189-530f655d1d55
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Ooguri, Hirosi
e877ff08-6b4e-4878-94ad-4b02d24e9f53
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
8 April 2021
Benjamin, Nathan
2d6a5af2-5a93-41ff-8189-530f655d1d55
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Ooguri, Hirosi
e877ff08-6b4e-4878-94ad-4b02d24e9f53
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
Benjamin, Nathan, Keller, Christoph A., Ooguri, Hirosi and Zadeh, Ida G.
(2021)
On rational points in CFT moduli spaces.
JHEP, 2021, [67].
(doi:10.1007/JHEP04(2021)067).
Abstract
Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with S1 target space in detail and uncover hitherto unknown features. We find for instance that the vanishing of the twist gap, though true for the S1 example, does not automatically follow from enhanced symmetry points being dense in the moduli space. We then explore the supersymmetric sigma-model on K3 by perturbing away from the torus orbifold locus. Though we do not reach a definite conclusion on the distribution of enhanced symmetry points in the K3 moduli space, we make several observations on how chiral currents can emerge and disappear under conformal perturbation theory.
Text
JHEP04(2021)067
- Version of Record
More information
Accepted/In Press date: 2 March 2021
Published date: 8 April 2021
Identifiers
Local EPrints ID: 501692
URI: http://eprints.soton.ac.uk/id/eprint/501692
ISSN: 1126-6708
PURE UUID: 0d54967d-4a42-430a-9699-b80744439499
Catalogue record
Date deposited: 06 Jun 2025 16:33
Last modified: 22 Aug 2025 02:43
Export record
Altmetrics
Contributors
Author:
Nathan Benjamin
Author:
Christoph A. Keller
Author:
Hirosi Ooguri
Author:
Ida G. Zadeh
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics