Counting fermionic zero modes on M5 with fluxes | Zendy

Рената Каллош | Zendy; Amir-Kian Kashani-Poor | Zendy; Alessandro Tomasiello | Zendy

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Counting fermionic zero modes on M5 with fluxes

Author(s) -

Рената Каллош,

Amir-Kian Kashani-Poor,

Alessandro Tomasiello

Publication year - 2005

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 - 10.1088/1126-6708/2005/06/069

Subject(s) - superpotential , physics , anomaly (physics) , instanton , zero (linguistics) , flux (metallurgy) , mathematical physics , divisor (algebraic geometry) , cohomology , m theory , calabi–yau manifold , quantum electrodynamics , theoretical physics , particle physics , supersymmetry , quantum mechanics , supergravity , pure mathematics , linguistics , philosophy , materials science , mathematics , metallurgy

We study the Dirac equation on an M5 brane wrapped on a divisor in aCalabi--Yau fourfold in the presence of background flux. We reduce thecomputation of the normal bundle U(1) anomaly to counting the solutions of afinite--dimensional linear system on cohomology. This system depends on thechoice of flux. In an example, we find that the presence of flux changes theanomaly and allows instanton corrections to the superpotential which wouldotherwise be absent.Comment: 14 pages. v2: reference added, typos corrected, few change

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