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Small instantons in string theory
Open accessAbstract
Abstract A long-standing puzzle about the heterotic string has been what happens when an instanton shrinks to zero size. It is argued here that the answer at the quantum level is that an extra SU (2) gauge symmetry appears that is supported in the core of the instanton. Thus in particular the quantum heterotic string has vacua with higher rank than is possible in conformal field theory. When k instantons collapse at the same point, the enhanced gauge symmetry is Sp ( k ). These results, which can be tested by comparison to Dirichlet five-branes of Type I superstrings and to the ADHM construction of instantons, give the first example for the heterotic string of a non-perturbative phenomenon that cannot be turned off by making the coupling smaller. They have applications to several interesting puzzles about string duality.
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Cites
Supersymmetric String Solitons
Callan, C. G., Harvey, J. A., & Strominger, A. E. (1991) · arXiv · doi:10.48550/arxiv.hep-th/9112030 · Cited by 235
Cited by
Douglas, M., & Nekrasov, N. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.977 · Cited by 2,096
The statistics of string/M theory vacua
Douglas, M. R. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/05/046 · Cited by 791
Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
Candelas, P., Perevalov, E., & Rajesh, G. (1997) · arXiv · doi:10.48550/arxiv.hep-th/9704097 · Cited by 132
Metadata
- Authors
- Witten, E.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1996-02
- Volume
- 460
- Issue
- 3
- Pages
- 541-559
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2092600466
- Cited by
- 657
- References
- 1
- FWCI
- 48.53
- Type
- journal article
- Language
- en
- Open access
- green
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