Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence
Open accessAbstract
We propose that there is no analogue of the Breitenlohner-Freedman stability bound on the mass of a scalar field in the context of the nonrelativistic AdS/CFT correspondence. Our treatment is based on an equivalence between the field equation of a complex scalar in the AdS/CFT correspondence and the one-dimensional Schr\"odinger equation with an inverse square potential. We compute the two-point boundary correlation function for ${m}^{2}<{m}_{\mathrm{BF}}^{2}$ and discuss its relation to renormalization group limit cycles and the Efimov effect in quantum mechanics. The equivalence also helps to elucidate holographic renormalization group flows and calculations in the global coordinates for Schr\"odinger spacetime.
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AdS d+1 spacetime allows some amount of tachyonic mass.
“It is well-known that AdS d+1 spacetime allows some amount of tachyonic mass.”
From Weak gravity conjecture, multiple point principle and the standard model landscape (2017) · cites this paper as [61]
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Research works printed but not linked: 3
- [13]P. Breitenlohner and D. Z. Freedman, Annals Phys. 144 , 249 (1982); P. Breitenlohner and D. Z. Freedman, Phys. Lett. B 115 , 197 (1982).
- [25]H. W. Hammer and B. G. Swingle, Annals Phys. 321 , 306 (2006).
- [36]S. Moroz and R. Schmidt, Annals Phys. 325 , 491 (2010).
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Weak gravity conjecture, multiple point principle and the standard model landscape
Hamada, Y., & Shiu, G. (2017) · Journal of High Energy Physics · doi:10.1007/jhep11(2017)043 · Cited by 63 · see citing works
- Authors
- Moroz, S.
- Affiliations
- Heidelberg University (DE)
- Corresponding author
- Moroz, Sergej
- ORCID
- Moroz, Sergej
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2010-03-09
- Volume
- 81
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2115632894
- Cited by
- 31
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2021: 1 · 2020: 1 · 2019: 2 · 2018: 1 · 2017: 2 · 2016: 1 · 2015: 3 · 2014: 3 · 2013: 2 · 2012: 1
- FWCI
- 2.11
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- Breitenlohner-Freedman bound, scalar field mass, inverse square potential, one-dimensional Schrödinger equation, boundary correlation functions, Efimov effect, holographic renormalization group flow, complex scalar field
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