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Topological—anti-topological fusion
Open accessAbstract
Abstract We study some non-perturbative aspects of N = 2 supersymmetric quantum field theories (both superconformal and massive deformations thereof). We show that the metric for the supersymmetric ground states, which in the conformal limit is essentially the same as Zamolodchikov's metric, is pseudo-topological and can be viewed as a result of fusion of the topological version of N = 2 theory with its conjugate. For special marginal/relevant deformations (corresponding to theories with factorizable S-matrix), the ground state metric satisfies classical Toda/Affine Toda equations as a function of perturbation parameters. The unique consistent boundary conditions for these differential equations seem to predict the normalized OPE of chiral fields at the conformal point. Also the subset of N = 2 theories whose chiral ring is isomorphic to SU(N)κ Verlinde ring turns out to lead to affine Toda equations of SU(N) type satisfied by the ground state metric.
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Griffiths, P. A. (1970) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684654 · Cited by 252
Cited by
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Pestun, V. (2012) · Communications in Mathematical Physics · doi:10.1007/s00220-012-1485-0 · Cited by 1,161
Geometry of 2D topological field theories
Dubrovin, B. (1996) · Lecture Notes in Mathematics · doi:10.1007/bfb0094793 · Cited by 1,117
Metadata
- Authors
- Cecotti, S., & Vafa, C.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1991-12
- Volume
- 367
- Issue
- 2
- Pages
- 359-461
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1410432905
- Cited by
- 519
- References
- 1
- FWCI
- 18.66
- Type
- journal article
- Language
- en
- Open access
- green
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- Cecotti, S., & Vafa, C. (1991). Topological—anti-topological fusion. Nuclear Physics B. https://doi.org/10.1016/0550-3213(91)90021-o
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