Professor research guide
Research themes associated with Cumrun Vafa include string theory, geometry, black-hole physics, the Swampland and conditional connections to particle physics and cosmology.
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Research using string theory, geometry, duality, black-hole physics and quantum-gravity consistency to understand which effective theories can arise from quantum gravity and what those constraints might imply for particle physics and cosmology.
7 lessons · ~37 minutes
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Research primer
7 lessons · ~37 minutes
An independent primer on string compactification, geometry, duality, supersymmetry, the Swampland program, black holes, topological strings, the dark dimension, and attempts to connect quantum-gravity consistency with observable physics, designed around research themes associated with Cumrun Vafa.
Explain why controlled black-hole microstate counts test a quantum-gravity framework.
Trace how a varying compactification radius can produce phenomenological predictions.
Explain the conditional argument for a micron-scale Dark Dimension and its KK tower.
Distinguish proposed dark gravitons and hierarchy connections from observed dark matter.
Distinguish observational inputs, model fits, and experimental confirmation.
Explain how equivalent dual descriptions can make a strongly coupled problem calculable.
Explain how integrating out high-energy degrees of freedom produces an IR effective field theory.
Relate moduli and compactification radius to the masses of a Kaluza–Klein tower.
Distinguish low-energy consistency from a quantum-gravity UV completion.
Explain how compactification geometry maps into lower-dimensional fields and couplings.
Distinguish the string landscape from apparently consistent EFTs conjectured to lack quantum-gravity completion.
Describe BPS protection without claiming that supersymmetry has been observed.
Explain the Distance Conjecture and distinguish conjectures from restricted theorems.
State the restricted status of OSV and the dimensional limits of species-scale estimates.
Nucl. Phys. B 469:403–418 · 1996
C. Vafa
Why this matters: Introduces elliptic geometry for varying type-IIB coupling; geometric dimensional bookkeeping is not detection of extra physical directions.
DOI: 10.1016/0550-3213(96)00172-1
arXiv preprint (no journal version listed) · 2005
C. Vafa
Why this matters: Frames quantum-gravity completion as a constraint beyond ordinary EFT consistency; the criteria are conjectural.
Nucl. Phys. B 766:21–33 · 2007
H. Ooguri, C. Vafa
Why this matters: Motivates the Distance Conjecture and light towers at infinite distance; illustrative limits do not prove its universal scope.
DOI: 10.1016/j.nuclphysb.2006.10.033
Phys. Lett. B 379:99–104 · 1996
A. Strominger, C. Vafa
Why this matters: Matches a controlled BPS microstate count to gravitational entropy; this is theoretical evidence in a restricted setting.
DOI: 10.1016/0370-2693(96)00345-0
Phys. Rev. D 70:106007 · 2004
H. Ooguri, A. Strominger, C. Vafa
Why this matters: Proposes the OSV relation for restricted BPS settings, with ensemble and correction subtleties; not a universal identity.
DOI: 10.1103/PhysRevD.70.106007
Bull. Amer. Math. Soc. 62(1); survey, online 2024; pages not verified · 2025
C. Vafa
Why this matters: Connects protected genus-one amplitudes and holomorphic torsion to proposed species-scale and entropy interpretations; the inferred DOI in the source is deliberately omitted.
Bull. Peking Math. 1(1) · 2024
D. van de Heisteeg, C. Vafa, M. Wiesner, D. H. Wu
Why this matters: Studies how the effective gravity cutoff changes over moduli space, with dimensional and setting-dependent assumptions.
DOI: 10.4310/BPAM.2024.v1.n1.a1
JHEP 02:022 · 2023
M. Montero, C. Vafa, I. Valenzuela
Why this matters: Combines small observed dark energy, conjectural inputs and bounds into a proposed micron-scale dimension; no dimension is detected.
DOI: 10.1007/JHEP02(2023)022
JHEP 11:109 · 2023
E. Gonzalo, M. Montero, G. Obied, C. Vafa
Why this matters: Explores a KK graviton tower as a candidate dark-matter sector, conditional on the scenario and production assumptions.
arXiv preprint (no journal version listed) · 2024
C. Vafa
Why this matters: Discusses proposed scale relations and dark-sector connections. Relations in a model are not measurements.
Phys. Rev. D 111:046014 · 2025
J. J. Heckman, C. Vafa, T. Weigand, F. Xu
Why this matters: Combines conditional GUT and gravity assumptions with particle and proton-lifetime constraints to derive testable predictions.
DOI: 10.1103/PhysRevD.111.046014
Accepted for publication, Phys. Rev. D; arXiv v3 May 2026 · 2025
A. Bedroya, G. Obied, C. Vafa, D. H. Wu
Why this matters: Models evolving energy and dark-matter masses. A comparable cosmological fit does not establish the microscopic Dark Dimension explanation.
DOI: 10.1103/1rsq-cv2m