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Chiral rings in N = 2 superconformal theories
Open accessAbstract
We investigate the properties of chiral operators in N = 2 superconformal theories. In particular, we study the spectral flow of such models under a one-parameter family of twists generated by the U(1) current, and use this to deduce various properties of the ring of chiral primary fields. We furthermore investigate under what conditions a given superconformal theory can be represented as the fixed point of an N = 2 Landau-Ginzburg theory and show how to determine the superpotential. We also investigate the coset models of Kazama and Suzuki and find a simple cohomological characterization for the elements of the chiral primary ring. Moreover we show how some of them can be represented as LG models.
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Cites
Infinite-Dimensional Lie Algebras
Kac, V. G. (1990) · Cambridge University Press eBooks · doi:10.1017/cbo9780511626234 · Cited by 5,244
Constraints on supersymmetry breaking
Witten, E. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90071-2 · Cited by 2,003
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Self-citationFusion rules and modular transformations in 2D conformal field theory
Verlinde, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90603-7 · Cited by 1,537
Dixon, L., Harvey, J., Vafa, C., & Witten, E. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90287-7 · Cited by 1,281
Self-citationSingularities of Differentiable Maps
(1988) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-3940-6 · Cited by 1,234
Infinite Dimensional Lie Algebras
Kac, V. G. (1983) · Progress in mathematics · doi:10.1007/978-1-4757-1382-4 · Cited by 1,200
The conformal field theory of orbifolds
Dixon, L., Friedan, D., Martinec, E., & Shenker, S. (1987) · Nuclear Physics B · doi:10.1016/0550-3213(87)90676-6 · Cited by 1,024
Unitary representations of the Virasoro and super-Virasoro algebras
Goddard, P., Kent, A., & Olive, D. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01464283 · Cited by 979
New heterotic string theories in uncompactified dimensions < 10
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Cited by
Lectures on 2D yang-mills theory, equivariant cohomology and topological field theories
Cordes, S., Moore, G., & Ramgoolam, S. (1995) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/0920-5632(95)00434-b · Cited by 248
Landau-Ginzburg vacua of string, M- and F-theory at c=12
Lynker, M., Schimmrigk, R., & Wißkirchen, A. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00204-7 · Cited by 40
Metadata
- Authors
- Lerche, W., Vafa, C., & Warner, N. P.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1989-09
- Volume
- 324
- Issue
- 2
- Pages
- 427-474
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2006312843
- Cited by
- 894
- References
- 39
- FWCI
- 35.60
- Type
- journal article
- Language
- en
- Open access
- green
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