Bootstrapping chiral CFTs at genus two
Bootstrapping chiral CFTs at genus two
Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The advantage of this approach is that it imposes crossing symmetry of an infinite family of four point functions and also modular invariance at the same time. Since for a fixed central charge the ring of Siegel modular forms is finite dimensional, we can perform this analytically. In this way we derive bounds on three point functions and on the spectrum of such theories.
1447-1487
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Mathys, Gregoire
e30c730c-a242-41ff-a24b-f18eaa313067
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
3 May 2019
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Mathys, Gregoire
e30c730c-a242-41ff-a24b-f18eaa313067
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
Keller, Christoph A., Mathys, Gregoire and Zadeh, Ida G.
(2019)
Bootstrapping chiral CFTs at genus two.
Adv.Theor.Math.Phys., 22 (6), .
(doi:10.4310/ATMP.2018.v22.n6.a3).
Abstract
Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The advantage of this approach is that it imposes crossing symmetry of an infinite family of four point functions and also modular invariance at the same time. Since for a fixed central charge the ring of Siegel modular forms is finite dimensional, we can perform this analytically. In this way we derive bounds on three point functions and on the spectrum of such theories.
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Published date: 3 May 2019
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Local EPrints ID: 501490
URI: http://eprints.soton.ac.uk/id/eprint/501490
PURE UUID: 9f399a93-d820-4657-8862-4a8536c49b85
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Date deposited: 02 Jun 2025 17:00
Last modified: 03 Jun 2025 02:14
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Author:
Christoph A. Keller
Author:
Gregoire Mathys
Author:
Ida G. Zadeh
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