Alphabeta MathCFT Bulk Supersymmetry And Lg Models
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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
Linear Algebra
Quantum Algebra and Representation Theory
Quantum Field Theory Mathematics
Real Analysis
2 · Logical flowchart
3 · Items
Definition
N=1 superconformal mode algebra in NS and Ramond sectors
Definition
N=2 superconformal mode algebra in NS and Ramond sectors
Definition
One-field Landau–Ginzburg Jacobian algebra
Theorem
The one-field N=2 Landau–Ginzburg Jacobian algebra has dimension k+1
Definition
Source-defined exceptional N=1 minimal-model target data
Definition
One-field N=(2,2) Landau–Ginzburg model and A-series minimal-model conjecture
Open problem
Exceptional N=1 minimal model as the infrared limit of a two-field cubic Landau–Ginzburg model
Sources
- Matthias R. Gaberdiel, An Introduction to Conformal Field Theory, arXiv:hep-th/9910156v2
- Paul Ginsparg, Applied Conformal Field Theory, arXiv:hep-th/9108028v1
- Luis Apolo, Alexandre Belin, Suzanne Bintanja, Alejandra Castro, Christoph A. Keller, Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents, arXiv:2204.07590v3
- Thomas W. Judson, Abstract Algebra: Theory and Applications, Chapter 17: Polynomials
- L. Ernst, An Inquiry-Based Approach to Abstract Algebra, §8.3: Ideals and Quotient Rings
- S. Axler, Linear Algebra Done Right, 4th ed., Chapters 2–3
- Yu Nakayama, Andrei Katsevich, Igor R. Klebanov, Zimo Sun, Landau–Ginzburg description of an exceptional N=1 minimal model, arXiv:2609.10972v2
- Edward Witten, On the Landau–Ginzburg Description of (N=2) Minimal Models, arXiv:hep-th/9304026v3
- Wolfgang Lerche, Cumrun Vafa and Nicholas P. Warner, Chiral Rings in N=2 Superconformal Theories, HUTP-88/A065 / CALT-68-1540, February 1989 preprint
- Stefan Fredenhagen, Cosimo Restuccia, Rui Sun, The limit of N=(2,2) superconformal minimal models, JHEP 10 (2012) 141, arXiv:1204.0446v2