Показати простий запис статті

dc.contributor.author Cheng, Miranda C.N.
dc.contributor.author Verlinde, E.P.
dc.date.accessioned 2019-02-19T13:05:11Z
dc.date.available 2019-02-19T13:05:11Z
dc.date.issued 2008
dc.identifier.citation Wall Crossing, Discrete Attractor Flow and Borcherds Algebra / Miranda C.N. Cheng, E.P. Verlinde // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 44 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 81R10; 17B67
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149017
dc.description.abstract The appearance of a generalized (or Borcherds-) Kac-Moody algebra in the spectrum of BPS dyons in N=4, d=4 string theory is elucidated. From the low-energy supergravity analysis, we identify its root lattice as the lattice of the T-duality invariants of the dyonic charges, the symmetry group of the root system as the extended S-duality group PGL(2,Z) of the theory, and the walls of Weyl chambers as the walls of marginal stability for the relevant two-centered solutions. This leads to an interpretation for the Weyl group as the group of wall-crossing, or the group of discrete attractor flows. Furthermore we propose an equivalence between a ''second-quantized multiplicity'' of a charge- and moduli-dependent highest weight vector and the dyon degeneracy, and show that the wall-crossing formula following from our proposal agrees with the wall-crossing formula obtained from the supergravity analysis. This can be thought of as providing a microscopic derivation of the wall-crossing formula of this theory. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. We would like to thank Atish Dabholkar, Frederik Denef, Axel Kleinschmidt, Greg Moore, Daniel Persson, Boris Pioline and Curum Vafa for useful discussions. E.V. would like to thank Harvard University for hospitality during the completion of this work. M.C. is supported by the Netherlands Organisation for Scientific Research (NWO). The research of E.V. is partly supported by the Foundation of Fundamental Research on Matter (FOM). uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Wall Crossing, Discrete Attractor Flow and Borcherds Algebra uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

Файли у цій статті

Ця стаття з'являється у наступних колекціях

Показати простий запис статті


Розширений пошук


Мій обліковий запис