Pregled bibliografske jedinice broj: 754074
Dirac structures on nilmanifolds and coexistence of fluxes
Dirac structures on nilmanifolds and coexistence of fluxes // 9th Workshop and school: „Quantum Field Theory and Hamiltonian Systems“,
Sinaia, Rumunjska, 2014. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 754074 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Dirac structures on nilmanifolds and coexistence of fluxes
Autori
Jonke, Larisa
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
9th Workshop and school: „Quantum Field Theory and Hamiltonian Systems“,
Mjesto i datum
Sinaia, Rumunjska, 24.09.2014. - 28.09.2014
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Generalized complex geometry; Nilmanifolds; Dirac structure; Flux compactification
Sažetak
We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with fluxes since they carry geometric flux by construction. They are generalized Calabi-Yau spaces and therefore simple examples of generalized geometry at work. We identify and classify Dirac structures on nilmanifolds, which are maximally isotropic subbundles closed under the Courant bracket. In the presence of non-vanishing fluxes, these structures are twisted and closed under appropriate extensions of the Courant bracket. Twisted Dirac structures on a nilmanifold may carry multiple coexistent fluxes of any type. We also show how dual Dirac structures combine to Courant algebroids and work out an explicit example where all types of generalized fluxes coexist. These results may be useful in the context of general flux compactifications in string theory.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
