Cumrun Vafa, a renowned theoretical physicist from Harvard University known for his work on string theory and quantum gravity, discusses the intricate connections between physics and mathematics, F-Theory, Dark Dimensions, and Swampland.

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Timestamps:

00:00 - Intro

00:50 - Getting Started in Math/Physics

05:08 - Relationship Between Math and Physics

11:51 - Gromov-Witten Invariants

12:29 - Self-Dual Connections (4 Dimensions)

13:55 - Physics Revolutions

17:30 - F-Theory (2 Extra Dimensions)

21:10 - Swampland (Quantum Field Theories)

45:31 - Quantum vs. Classical

46:14 - What Defines a “String Theory”

51:57 - Quantum Gravity Approaches

54:24 - Incorporating Gravity (Gauge Gravity)

56:13 - Vafa’s Intuition

58:18 - Vafa’s Swampland Program

01:03:39 - Dark Dimensions (Dark Matter)

Links Mentioned:

- Cumrun’s paper on dark dimension gravitons: https://arxiv.org/abs/2209.09249

- Cumrun’s paper on chiral rings: https://lib-extopc.kek.jp/preprints/PDF/1989/8907/8907191.pdf

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