Evidence for F theory

Vafa, Cumrun

doi:10.1016/0550-3213(96)00172-1

Evidence for F theory

Cumrun Vafa
(
- Harvard U.
)

Feb, 1996

18 pages

Published in:

Nucl.Phys.B 469 (1996) 403-418

e-Print:

hep-th/9602022 [hep-th]

DOI:

10.1016/0550-3213(96)00172-1

Report number:

HUTP-96-A004

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Abstract:

We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12 dimensional `F-theory'. We provide evidence for a more natural reformulation of type IIB theory in terms of F-theory. Compactification of M-theory on a manifold

K

which admits elliptic fibration is equivalent to compactification of F-theory on

K\times S~1

. A large class of

N=1

theories in 6 dimensions are obtained by compactification of F-theory on Calabi-Yau threefolds. A class of phenomenologically promising compactifications of F-theory is on

Spin(7)

holonomy manifolds down to 4 dimensions. This may provide a concrete realization of Witten's proposal for solving the cosmological constant problem in four dimensions.

Note:

18 pages Report-no: HUTP-96/A004

02.40.Sf
11.27.+d
F-theory
D-manifolds
Type IIB strings
Compactification
Cosmological constant problem
field theory: F-theory
string model
space-time: Calabi-Yau

References(36)

Figures(0)

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