Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”

Abstract We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with worldvolume gauge fields, such as the D3...

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Autor principal:	Alex S. Arvanitakis
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Bosonic Strings BRST Quantization Differential and Algebraic Geometry Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/83b34138466a4877800bed167ffd843b
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spelling	oai:doaj.org-article:83b34138466a4877800bed167ffd843b2021-11-21T12:40:59ZBrane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”10.1007/JHEP11(2021)1141029-8479https://doaj.org/article/83b34138466a4877800bed167ffd843b2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)114https://doaj.org/toc/1029-8479Abstract We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with worldvolume gauge fields, such as the D3 and M5. Our result yields a universal expression for the ’t Hooft anomaly that afflicts isometries in the presence of fluxes. We determine the current algebra in terms of (exceptional) generalised geometry, and show that the tensor hierarchy gives rise to a brane current hierarchy. Exceptional complex structures produce pairs of anomaly-free current subalgebras on the M5-brane worldvolume.Alex S. ArvanitakisSpringerOpenarticleBosonic StringsBRST QuantizationDifferential and Algebraic GeometrySuperspacesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-40 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Bosonic Strings BRST Quantization Differential and Algebraic Geometry Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Bosonic Strings BRST Quantization Differential and Algebraic Geometry Superspaces Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Alex S. Arvanitakis Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
description	Abstract We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with worldvolume gauge fields, such as the D3 and M5. Our result yields a universal expression for the ’t Hooft anomaly that afflicts isometries in the presence of fluxes. We determine the current algebra in terms of (exceptional) generalised geometry, and show that the tensor hierarchy gives rise to a brane current hierarchy. Exceptional complex structures produce pairs of anomaly-free current subalgebras on the M5-brane worldvolume.
format	article
author	Alex S. Arvanitakis
author_facet	Alex S. Arvanitakis
author_sort	Alex S. Arvanitakis
title	Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
title_short	Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
title_full	Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
title_fullStr	Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
title_full_unstemmed	Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”
title_sort	brane current algebras and generalised geometry from qp manifolds. or, “when they go high, we go low”
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/83b34138466a4877800bed167ffd843b
work_keys_str_mv	AT alexsarvanitakis branecurrentalgebrasandgeneralisedgeometryfromqpmanifoldsorwhentheygohighwegolow
_version_	1718418894925856768

Brane current algebras and generalised geometry from QP manifolds. Or, “when they go high, we go low”

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