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String amplitude: genus expansion
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Classroom Contents
The Tropical Limit of String Theory and Feynman Integrals
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- 1 The Tropical Limit of String Theory and Feynman Integrals
- 2 Combinatorial Algebraic Geometry: Tropical and Real hybrid
- 3 Plan
- 4 I. Introduction - Physics background
- 5 Feyman rules
- 6 Remarks
- 7 Schematically
- 8 String diagram
- 9 String diagram at given loop order
- 10 String amplitude: genus expansion
- 11 Preview of results
- 12 Original goal
- 13 Problem of highly technical nature
- 14 II. The tropical limit of string theory
- 15 Tropical graphs
- 16 Examples
- 17 Tropical moduli space
- 18 Examples
- 19 Other examples
- 20 Dual graph
- 21 One central idea
- 22 Tropical Homology
- 23 Bosonic string amplitudes
- 24 Explicit construction
- 25 Field theory limit
- 26 Example @ tree - level
- 27 IV. A few open questions
- 28 Wrap Up
