Anomaly - free supersymmetric models in six-dimensions

Schwarz, John H.

doi:10.1016/0370-2693(95)01610-4

Anomaly - free supersymmetric models in six-dimensions

John H. Schwarz
(
- Caltech
)

Dec, 1995

13 pages

Published in:

Phys.Lett.B 371 (1996) 223-230

e-Print:

hep-th/9512053 [hep-th]

DOI:

10.1016/0370-2693(95)01610-4

Report number:

CALT-68-2030

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Abstract:

The conditions for the cancellation of all gauge, gravitational, and mixed anomalies of

N=1

supersymmetric models in six dimensions are reviewed and illustrated by a number of examples. Of particular interest are models that cannot be realized perturbatively in string theory. An example of this type, which we verify satisfies the anomaly cancellation conditions, is the K3 compactification of the

SO(32)

theory with small instantons recently proposed by Witten. When the instantons coincide it has gauge group

SO(32) \times Sp(24)

. Two new classes of models, for which non-perturbative string constructions are not yet known, are also presented. They have gauge groups

SO(2n+8)\times Sp(n)

and

SU(n)\times SU(n)

, where

n

is an arbitrary positive integer.

string model
supersymmetry
effective action
dimension: 6
anomaly
symmetry breaking
field theory: instanton

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