A sigma model field theoretic realization of Hitchin's generalized complex geometry | Zendy

Roberto Zucchini | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A sigma model field theoretic realization of Hitchin's generalized complex geometry

Author(s) -

Roberto Zucchini

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/11/045

Subject(s) - mathematics , cohomology , superstring theory , realization (probability) , sigma , sigma model , field (mathematics) , pure mathematics , geometry , space (punctuation) , algebra over a field , mathematical physics , physics , supersymmetry , quantum mechanics , computer science , statistics , nonlinear system , operating system

We present a sigma model field theoretic realization of Hitchin's generalizedcomplex geometry, which recently has been shown to be relevant incompactifications of superstring theory with fluxes. Hitchin sigma model isclosely related to the well known Poisson sigma model, of which it has the samefield content. The construction shows a remarkable correspondence between the(twisted) integrability conditions of generalized almost complex structures andthe restrictions on target space geometry implied by the Batalin--Vilkoviskyclassical master equation. Further, the (twisted) classical Batalin--Vilkoviskycohomology is related non trivially to a generalized Dolbeault cohomology.Comment: 28 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Typos in eq. 6.19 and some spelling correcte

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research