The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I
Open accessAbstract
Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N = 2 gauge theories in four dimensions involving products of SU gauge groups with an arbitrary amount of bi-fundamental matter for chosen pairs, as well as an arbitrary amount of fundamental matter for each factor.Asymptotic freedom restricts the possibilities to SU groups with bi-fundamental matter chosen according to ADE or affine ADE Dynkin diagrams.Many of the results can be derived in an elementary way using the self-mirror property of KS.We find that in certain cases the solution of the Coulomb branch for N = 2 gauge theories is given in terms of a three dimensional complex manifold rather than a Riemann surface.We also study new stringy strong coupling fixed points arising from the compactification of higher dimensional theories with tensionless strings and consider applications to three dimensional N = 4 theories.
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Cites
Singularities of Differentiable Maps
(1988) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-3940-6 · Cited by 1,234
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
Cited by
On conformal field theories in four dimensions
Lawrence, A., Nekrasov, N., & Vafa, C. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00495-7 · Cited by 486
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Metadata
- Authors
- Katz, S., Mayr, P., & Vafa, C.
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1997
- Volume
- 1
- Issue
- 1
- Pages
- 53-114
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2080034364
- Cited by
- 425
- References
- 2
- FWCI
- 20.63
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Katz, S., Mayr, P., & Vafa, C. (1997). Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.1997.v1.n1.a2
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