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Currents, charges and algebras in exceptional generalised geometryстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 22 декабря 2021 г.
- Автор: Osten David
- Журнал: Journal of High Energy Physics
- Том: 2021
- Номер: 6
- Год издания: 2021
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Номер статьи: 70
- DOI: 10.1007/jhep06(2021)070
- Аннотация: A classical E_{d(d)} d(d) -invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised metric, and a current algebra constructed s.t. it reproduces the E_{d(d)} d(d) generalised Lie derivative. E_{d(d)} d(d) -covariance necessitates the introduction of so-called charges, specifying the type of p-brane and the choice of section. For p > 2, currents of p-branes are generically non- geometric due to the imposition of U-duality, e.g. the M5-currents contain coordinates associated to the M2-momentum.A derivation of the E_{d(d)} d(d) -invariant current algebra from a canonical Poisson structure is in general not possible. At most, one can derive a current algebra associated to para-Hermitian exceptional geometry.The membrane in the SL(5)-theory is studied in detail. It is shown that in a generalised frame the current algebra is twisted by the generalised fluxes. As a consistency check, the double dimensional reduction from membranes in M-theory to strings in type IIa string theory is performed. Many features generalise to p-branes in SL(p + 3) generalised geometries that form building blocks for the E_{d(d)} d(d) -invariant currents.
- Добавил в систему: Арыджан Юлия Абдуррахмановна