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On the geometry of the string landscape and the swampland
Open accessAbstract
We make a number of conjectures about the geometry of continuous moduli parameterizing the string landscape. In particular we conjecture that such moduli are always given by expectation value of scalar fields and that moduli spaces with finite non-zero diameter belong to the swampland. We also conjecture that points at infinity in a moduli space correspond to points where an infinite tower of massless states appear, and that near these regions the moduli space is negatively curved. We also propose that there is no non-trivial 1-cycle of minimum length in the moduli space. This leads in particular to the prediction of the existence of a radially massive partner to the axion. These conjectures put strong constraints on inflaton potentials that can appear in a consistent quantum theory of gravity. Our conjectures are supported by a number of highly non-trivial examples from string theory. Moreover it is shown that these conditions can be violated if gravity is decoupled.
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Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065
The Swampland: Introduction and Review
Palti, E. (2019) · Fortschritte der Physik · doi:10.1002/prop.201900037 · Cited by 908
Fencing in the Swampland: quantum Gravity Constraints on Large Field Inflation
Brown, J., Cottrell, W., Shiu, G., & Soler, P. (2015) · Journal of High Energy Physics · doi:10.1007/jhep10(2015)023 · Cited by 232
McAllister, L., Silverstein, E., Westphal, A., & Wrase, T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep09(2014)123 · Cited by 194
Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology
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Metadata
- Authors
- Ooguri, H., & Vafa, C.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2007-03
- Volume
- 766
- Issue
- 1-3
- Pages
- 21-33
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2059177657
- Cited by
- 1,186
- References
- 0
- FWCI
- 8.67
- Type
- journal article
- Language
- en
- Open access
- green
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- Ooguri, H., & Vafa, C. (2007). On the geometry of the string landscape and the swampland. Nuclear Physics B. https://doi.org/10.1016/j.nuclphysb.2006.10.033
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