Brane-antibrane systems on Calabi-Yau spaces | Zendy

Yaron Oz | Zendy; Daniel Waldram | Zendy; Tony Pantev | Zendy

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Brane-antibrane systems on Calabi-Yau spaces

Author(s) -

Yaron Oz,

Daniel Waldram,

Tony Pantev

Publication year - 2001

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 - 10.1088/1126-6708/2001/02/045

Subject(s) - holomorphic function , brane , tachyon , stability (learning theory) , pure mathematics , vortex , field (mathematics) , mathematics , set (abstract data type) , vector field , brane cosmology , physics , mathematical analysis , mathematical physics , geometry , computer science , mechanics , machine learning , programming language

We propose a correspondence between brane-antibrane systems and stabletriples (E_1,E_2,T), where E_1,E_2 are holomorphic vector bundles and thetachyon T is a map between them. We demonstrate that, under the assumption ofholomorphicity, the brane-antibrane field equations reduce to a set of vortexequations, which are equivalent to the mathematical notion of stability of thetriple. We discuss some examples and show that the theory of stable triplessuggests a new notion of BPS bound states and stability, and curious relationsbetween brane-antibrane configurations and wrapped branes in higher dimensions.Comment: 25 pages, Late

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