An Index for the Dirac Operator on D3 Brane withBackground Fluxes

Journal Article · Wed Aug 03 04:00:00 EDT 2005

OSTI ID:878831

Bergshoeff, Eric; Kallosh, Renata; Kashani-Poor, Amir-Kian; Sorokin, Dmitri; Tomasiello, Alessandro

We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T{sup 2}/Z{sub 2} orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 878831
• Report Number(s): SLAC-PUB-11285; hep-th/0507069
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC EQUATION
DIRAC OPERATORS
DUALITY
HIGH ENERGY PHYSICS
INSTANTONS
Theory-HEP
HEPTH