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Nonrenormalization Theorems in Superstring Theory
Abstract
A simple proof of the nonrenormalization theorems in string theory is given. We prove (with the assumption that space-time supersymmetry is nonanomalous) that the space-time superpotential is not renormalized by string loops. As corollaries of this result we argue that in string perturbation theory, Calabi-Yau vacua (or any other classical solution with space-time supersymmetry) are solutions of the quantum equations of motion with zero cosmological constant, massless particles remain massless, and Yukawa couplings are not renormalized, to all orders.
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“The same is believed to be true in superstring perturbation theory (Dine and Seiberg, 1986; Friedan, Martinec, and Shenker, 1986; Martinec, 1986; Attick, Moore, and Sen, 1987; Morozov and Perelomov, 1987).”
From The cosmological constant problem (1989) · cites this paper as Dine and Seiberg, 1986
Citations
Cites
Some properties of O(32) superstrings
Witten, E. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90422-2 · Cited by 1,021
Is the superstring weakly coupled?
Dine, M., & Seiberg, N. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90927-x · Cited by 392
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Cited by
Sorted by citations
The cosmological constant problem
Weinberg, S. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.1 · Cited by 7,341
Metadata
- Authors
- Dine, M., & Seiberg, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-11-24
- Volume
- 57
- Issue
- 21
- Pages
- 2625-2628
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1993070038
- Cited by
- 169
- References
- 2
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 4 · 2023: 6 · 2022: 9 · 2021: 5 · 2020: 3 · 2019: 2 · 2018: 2 · 2017: 3 · 2016: 2 · 2015: 5 · 2014: 3 · 2013: 2 · 2012: 5
- FWCI
- 10.42
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- non-renormalization theorem, superstring theory, space-time supersymmetry, superpotential, string loops, quantum equations of motion, zero cosmological constant, massless particles, Yukawa couplings, string perturbation theory
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