Alphabeta MathGvw Flux Potentials And Gkp Vacua Examples
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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
- Ideals, Quotient Rings and the Isomorphism Theorems for Rings
- Normal Subgroups and Quotient Groups
- Polynomial Rings, the Division Algorithm and Roots
- Rings, Subrings, Integral Domains and Fields
- Simple Field Extensions and the Construction of the Complex Numbers
Functional Analysis
Linear Algebra
Non-relativistic Classical Mechanics — Mathematics
Real Analysis
- Construction of the Real Numbers via Cauchy Sequences
- Construction of the Real Numbers via Dedekind Cuts
- Countability and Uncountability
- Foundations of the Real Numbers for Analysis
- Monotone Sequences, Bolzano-Weierstrass, and Cauchy Completeness
- Rⁿ as a Normed Space; Vector-Valued Functions
- Roots, Rational Powers, and Classical Inequalities
- Sequences and Limits
- Suprema and Infima
- Topology of ℝ
Set Theory
String Theory
2 · Logical flowchart
3 · Items
Example
One-Variable Kähler Calculation of the No-Scale Cancellation
Sources
- Steven B. Giddings, Shamit Kachru, and Joseph Polchinski, Hierarchies from Fluxes in String Compactifications, arXiv:hep-th/0105097v2
- Mariana Graña, Flux compactifications in string theory: a comprehensive review, arXiv:hep-th/0509003v3
- Jan Louis, Introduction to String Phenomenology, University of Hamburg preliminary lecture notes