Open string instantons and superpotentials

Kachru, Shamit; Katz, Sheldon H.; Lawrence, Albion E.; McGreevy, John

doi:10.1103/PhysRevD.62.026001

Open string instantons and superpotentials

Shamit Kachru
(
)
,
Sheldon H. Katz
(
- Oklahoma State U.
)
,
Albion E. Lawrence
(
- Princeton, Inst. Advanced Study and
- Stanford U., Phys. Dept. and
- SLAC and
- Santa Barbara, KITP
)
,
John McGreevy
(
- UC, Berkeley
)

Jan, 2000

24 pages

Published in:

Phys.Rev.D 62 (2000) 026001

e-Print:

hep-th/9912151 [hep-th]

DOI:

10.1103/PhysRevD.62.026001

Report number:

SLAC-PUB-8314,
IASSNS-HEP-99-99,
SU-ITP-99-50,
NSF-ITP-99-142,
OSU-M-99-13

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Abstract:

We study the F-terms in N=1 supersymmetric, d=4 gauge theories arising from D(p+3)-branes wrapping supersymmetric p-cycles in a Calabi-Yau threefold. If p is even the spectrum and superpotential for a single brane are determined by purely classical (

\alpha^\prime \to 0

) considerations. If p=3, superpotentials for massless modes are forbidden to all orders in

\alpha^\prime

and may only be generated by open string instantons. For this latter case we find that such instanton effects are generically present. Mirror symmetry relates even and odd p and thus perturbative and nonperturbative superpotentials; we provide a preliminary discussion of a class of examples of such mirror pairs.

Note:

22 pages, harvmac big; v2, corrected some typos Report-no: IASSNS-HEP-99/99, SU-ITP-99/50, SLAC-PUB-8314, NSF-ITP-99-142, OSU-M-99-13

string model
supersymmetry: potential
string: open
compactification
field theory: Calabi-Yau
instanton
moduli space
membrane model: D-brane
geometry
symmetry: mirror

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