The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
On conformal field theories in four dimensions
Open accessAbstract
Abstract Extending recent work of Kachru and Silverstein, we consider “orbifolds” of four-dimensional N = 4 SU(n) super-Yang-Mills theories with respect to discrete subgroups of the SU(4) R-symmetry which act non-trivially on the gauge group. We show that for every discrete subgroup of SU(4) there is a canonical choice of imbedding of the discrete group in the gauge group which leads to theories with a vanishing one-loop beta-function. We conjecture that these give rise to (generically non-supersymmetric) conformal theories. The gauge group is ⊗iSU(Nni), where ni denote the dimension of the irreducible representations of the corresponding discrete group; there is also bifundamental matter, dictated by associated quiver diagrams. The interactions can also be read off from the quiver diagram. For SU(3) and SU(2) subgroups this leads to superconformal theories with N = 1 and N = 2 , respectively. In the N = 1 case we prove the vanishing of the beta functions to two loops.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
Solutions of four-dimensional field theories via M-theory
Witten, E. H. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00416-1 · Cited by 1,054
4D Conformal Field Theories and Strings on Orbifolds
Kachru, S., & Silverstein, E. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.4855 · Cited by 721
Consistency conditions for orientifolds and D-manifolds
Gimon, E. G., & Polchinski, J. (1996) · Physical Review D · doi:10.1103/physrevd.54.1667 · Cited by 649
Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
Leigh, R. G., & Strassler, M. J. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00261-p · Cited by 646
Solution of the anomaly puzzle in SUSY gauge theories and the Wilson operator expansion
Shifman, M. A., & Vainshtein, A. I. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90451-7 · Cited by 575
Exactly marginal operators and duality in four dimensional N=1 supersymmetric gauge theory
Leigh, R. G., & Strassler, M. J. (1995) · CERN Document Server (European Organization for Nuclear Research) · Cited by 525
Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I
Katz, S., Mayr, P., & Vafa, C. (1997) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1997.v1.n1.a2 · Cited by 425
Self-citationAbsorption by branes and Schwinger terms in the world volume theory
Gubser, S. S., & Klebanov, I. R. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)01099-x · Cited by 282
Cited by
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Brane dimers and quiver gauge theories
Franco, S., Hanany, A., Vegh, D., Wecht, B., & Kennaway, K. D. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/01/096 · Cited by 314
Metadata
- Authors
- Lawrence, A., Nekrasov, N., & Vafa, C.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1998-11
- Volume
- 533
- Issue
- 1-3
- Pages
- 199-209
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2128221022
- Cited by
- 486
- References
- 19
- FWCI
- 34.06
- Type
- journal article
- Language
- en
- Open access
- green
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