1.1k citations · 4.7k across the 104 of their papers we have counts for
17 papers · 1 filter
Higher Gauge Theory
Leron Borsten, Mehran Jalali Farahani, Branislav Jurco +5
This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical Physics, 2nd edition. In particular, we provide a lightning introduction to higher str…
Division Algebras and Supersymmetry IV
John Huerta
Recent work applying higher gauge theory to the superstring has indicated the presence of 'higher symmetry', and the same methods work for the super-2-brane. In the previous paper…
Division Algebras and Supersymmetry III
John Huerta
Recent work applying higher gauge theory to the superstring has indicated the presence of `higher symmetry'. Infinitesimally, this is realized by a `Lie 2-superalgebra' extending t…
An Invitation to Higher Gauge Theory
John C. Baez, John Huerta
In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory inv…
Division Algebras and Supersymmetry II
John C. Baez, John Huerta
Starting from the four normed division algebras - the real numbers, complex numbers, quaternions and octonions - a systematic procedure gives a 3-cocycle on the Poincare Lie supera…
Division Algebras and Supersymmetry I
John C. Baez, John Huerta
Supersymmetry is deeply related to division algebras. Nonabelian Yang-Mills fields minimally coupled to massless spinors are supersymmetric if and only if the dimension of spacetim…
A Prehistory of n-Categorical Physics
John C. Baez, Aaron Lauda
This paper traces the growing role of categories and n-categories in physics, starting with groups and their role in relativity, and leading up to more sophisticated concepts which…
Calabi-Yau Manifolds and the Standard Model
John C. Baez
For any subgroup G of O(n), define a "G-manifold" to be an n-dimensional Riemannian manifold whose holonomy group is contained in G. Then a G-manifold where G is the Standard Model…
Higher Yang-Mills Theory
John C. Baez
Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-…
Quantization of Diffeomorphism-Invariant Theories with Fermions
John C. Baez, Kirill V. Krasnov
We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P -> Sigma be a principal G-bundle over…
Strings and Two-dimensional QCD for Finite N
J. Baez, W. Taylor
Minor corrections made and several references changed.
Generalized Measures in Gauge Theory
John C. Baez
Let P -> M be a principal G-bundle. Using techniques from the loop representation of gauge theory, we construct well-defined substitutes for ``Lebesgue measure'' on the space A of…
Strings, Loops, Knots and Gauge Fields
John C. Baez
The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadro…
Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations
John C. Baez
The notion of a measure on the space of connections modulo gauge transformations that is invariant under diffeomorphisms of the base manifold is important in a variety of contexts…
Link Invariants, Holonomy Algebras and Functional Integration
John C. Baez
Given a principal G-bundle over a smooth manifold M, with G a compact Lie group, and given a finite-dimensional unitary representation of G, one may define an algebra of functions…
Link Invariants of Finite Type and Perturbation Theory
John C. Baez
The Vassiliev-Gusarov link invariants of finite type are known to be closely related to perturbation theory for Chern-Simons theory. In order to clarify the perturbative nature of…
Quantum Gravity and the Algebra of Tangles
John C. Baez
In Rovelli and Smolin's loop representation of nonperturbative quantum gravity in 4 dimensions, there is a space of solutions to the Hamiltonian constraint having as a basis isotop…