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Topological amplitudes in string theory
Open accessAbstract
We show that certain type II string amplitudes at genus g are given by the topological partition function Fg discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form ΣgFgW2g, where W is the chiral superfield of N = 2 supergravitational multiplet. The holomorphic anomaly of Fg is related to non-localities of the effective action due to the propagation of massless states. This result generalizes the holomorphic anomaly of the one loop case which is known to lead to non-harmonic gravitational couplings.
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Citations
Cited by
Aganagic, M., Klemm, A., Mari�o, M., & Vafa, C. (2005) · Communications in Mathematical Physics · doi:10.1007/s00220-004-1162-z · Cited by 522
Superstrings and topological strings at large N
Vafa, C. (2001) · Journal of Mathematical Physics · doi:10.1063/1.1376161 · Cited by 498
Knot invariants and topological strings
Ooguri, H., & Vafa, C. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00118-8 · Cited by 434
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
Metadata
- Authors
- Antoniadis, I., Gava, E., Narain, K. S., & Taylor, T. R.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1994-01
- Volume
- 413
- Issue
- 1-2
- Pages
- 162-184
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2027696547
- Cited by
- 319
- References
- 0
- FWCI
- 12.19
- Type
- journal article
- Language
- en
- Open access
- green
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- Antoniadis, I., Gava, E., Narain, K. S., & Taylor, T. R. (1994). Topological amplitudes in string theory. Nuclear Physics B. https://doi.org/10.1016/0550-3213(94)90617-3
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