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The Tropical Limit of String Theory and Feynman Integrals
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Combinatorial Algebraic Geometry: Tropical and Real hybrid
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Plan
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I. Introduction - Physics background
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Feyman rules
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Remarks
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Schematically
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String diagram
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String diagram at given loop order
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String amplitude: genus expansion
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Preview of results
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Original goal
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Problem of highly technical nature
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II. The tropical limit of string theory
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Tropical graphs
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Examples
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Tropical moduli space
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Examples
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Other examples
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Dual graph
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One central idea
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Tropical Homology
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Bosonic string amplitudes
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Explicit construction
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Field theory limit
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Example @ tree - level
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IV. A few open questions
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Wrap Up
Description:
Explore the fascinating intersection of string theory, Feynman integrals, and tropical geometry in this comprehensive lecture. Delve into the physics background, including Feynman rules and string diagrams, before examining the tropical limit of string theory. Discover tropical graphs, moduli spaces, and their applications to string amplitudes. Learn about the field theory limit and its implications for tree-level calculations. Conclude with a discussion of open questions in this cutting-edge area of theoretical physics and mathematics. Gain insights into the connections between combinatorial algebraic geometry, tropical geometry, and quantum field theory through this advanced presentation by Piotr Tourkine at the International Centre for Theoretical Sciences.

The Tropical Limit of String Theory and Feynman Integrals

International Centre for Theoretical Sciences
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