Alphabeta MathST Perturbative Amplitudes And Worldsheet Measures
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1 · Prerequisites
Abstract Algebra
- Binary Operations, Monoids, Groups and Subgroups
- Cosets, Index and Lagrange's Theorem
- Divisibility, Euclidean Domains, Principal Ideal Domains and Unique Factorisation
- Finite Averaging and Character-Theory Prerequisites
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Algebraic Topology
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Category Theory
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Combinatorics
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Complex Analysis
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Conformal Field Theory
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Measure Theory
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Real Analysis
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- Topology of ℝ
Set Theory
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String Theory
Topology
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- The Topology of Euclidean Space
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- Uniform Spaces: the Three Definitions
2 · Logical flowchart
3 · Items
Lemma
Complex Euler beta integral for a four-point sphere correlator
Lemma
Log Gamma ratio series on the unit disk
Lemma
Sphere and boundary conformal-Killing modes for tree gauge fixing
Definition
String vertex datum and covariant insertion
Physics theorem
Coordinate invariance of the local Beltrami antighost pairing
Definition
RNS bosonized picture charge convention
Physics theorem
Closed string genus-n-point coupling power
Remark
Genus expansion is not a nonperturbative completion
Definition
Bosonic bc ghost and Beltrami moduli pairing
Physics theorem
RNS chiral picture-charge selection rule
Definition
Local punctured-moduli perturbative amplitude form
Definition
String channel propagator on a plumbing collar
Definition
Declared local state-sum sewing input
Definition
RNS picture-changing insertion on a local superstring chart
Physics theorem
Local string amplitude sewing and channel factorization
Physics theorem
Massless tadpole logarithm on a separating collar
Open problem
Global compactified Type II RNS amplitude prescription
Sources
- David Tong, String Theory, Cambridge Part III notes
- Eric D’Hoker and Michael B. Green, Exploring transcendentality in superstring amplitudes
- Timo Weigand, Introduction to String Theory, Winter term 2011/12
- Sam Christian, Ben Mazel, Yuchen Wang, Xi Yin and Yutai Zhang, Bosonic String Amplitudes From Ribbon Graphs
- Oliver Schlotterer, Scattering amplitudes in open superstring theory
- Edward Witten, Notes on Super Riemann Surfaces and Their Moduli
- Edward Witten, Superstring Perturbation Theory via Super Riemann Surfaces: An Overview
- Charles Wang and Xi Yin, On the Equivalence between SRS and PCO Formulations of Superstring Perturbation Theory
- Ashoke Sen, Off-shell Amplitudes in Superstring Theory
- Seyed Faroogh Moosavian and Yehao Zhou, On the Existence of Heterotic-String and Type-II-Superstring Field Theory Vertices
- Ashoke Sen, Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector
- Ashoke Sen and Edward Witten, Filling the Gaps with PCO's
- Sergio Luigi Cacciatori, Samuel Grushevsky and Alexander A. Voronov, Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector
- Dimitri P. Skliros, Moving NS Punctures on Super Spheres
- Petr Dunin-Barkowski, Igor Fedorov and Alexey Sleptsov, RNS superstring measure for genus 3