Mirror symmetry for open strings

Journal Article · Thu Dec 14 23:00:00 EST 2000 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.62.126005· OSTI ID:40205244

Kachru, Shamit; Katz, Sheldon; Lawrence, Albion; McGreevy, John

We discuss the generation of superpotentials in d=4, N=1 supersymmetric field theories arising from type-IIA D6-branes wrapped on supersymmetric three-cycles of a Calabi-Yau threefold. In general, nontrivial superpotentials arise from sums over disc instantons. We then find several examples of special Lagrangian three-cycles with nontrivial topology which are mirror to obstructed rational curves, conclusively demonstrating the existence of such instanton effects. In addition, we present explicit examples of disc instantons ending on the relevant three-cycles. Finally, we give a preliminary construction of a mirror map for the open string moduli, in a large-radius limit of the type IIA compactification.

• Sponsoring Organization: (US)
• OSTI ID: 40205244
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 12 Vol. 62; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
CONSTRUCTION
FIELD THEORIES
INSTANTONS
LAGRANGIAN FUNCTION
MIRRORS
SYMMETRY
TOPOLOGY