Topological string theory

Protected amplitudes and geometric invariants; this is not the full physical string theory.

Independent educational guide. Not affiliated with or endorsed by the universities, professors or laboratories described here. This collection reflects the material currently mapped on Socratic Learn.

Labs and groups studying related work

Harvard University

Cumrun Vafa Research Group

Cumrun Vafa

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.

Dark dimension Quantum gravity String theory Swampland Black-hole entropy

7 lessons · ~37 minutes

Explore the lab

Professors

Cumrun Vafa

Lessons to understand this topic

Recommended through the concepts linked to this topic. Each lesson belongs to an existing learning series.

Core background

Strings, Geometry, and the Swampland

Black holes, topological strings, and exact quantum gravity clues

Explain why controlled black-hole microstate counts test a quantum-gravity framework.

Supports: Topological string theory

Important papers

Phys. Rev. D 70:106007 · 2004

Black hole attractors and the topological string

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

Ray–Singer torsion, topological strings, and black holes

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.