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Results tagged with mp.mathematical-physics
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user 10475
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
3
votes
Simple current extensions in VOA theory and CFTs
Regarding your first question, physicists are interested in classifying modular invariant partition functions for two-dimensional rational conformal field theories. Simple currents are a useful tool f …
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8
votes
Number theory and physics
The rational numbers $\mathbb{Q}$ are central to number theory, so I think it would be reasonable to claim a connection between number theory and ``real” physics if there were a physical system with p …
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7
votes
The proof that a vertex algebra can lead to a Wightman QFT
You might find "An Introduction to Conformal Field Theory" by M. Gaberdiel (arXiv:hep-th/9910156v2) useful. He has a brief discussion of how in some cases chiral algebras can be assembled into Conform …
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9
votes
Accepted
Dimensional regularization in odd dimensions
There a number of papers by Alain Connes on Dimensional Regularization (Dim Reg) in the context of noncommutative field theory. Some of his papers cite
P. Breitenlohner and D. Maison, "Dimensional re …
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7
votes
Accepted
Relation between TQFT and Wilson lines, boundary conditions, surface defects etc
Greg Moore recently gave the Felix Klein lectures and a draft of notes for his lectures is available at
http://www.physics.rutgers.edu/~gmoore/FelixKleinLectureNotes.pdf
You will find in the first …
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2
votes
Meaning of a phrase from "The algebra of grand unified theories".
I suspect part of the confusion is due to the fact that the $SU(2)$ appearing in the Standard Model gauge group $U(1)\times SU(2) \times SU(3)$ is different from the $SU(2)$ of the Cassen-Condon paper …
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9
votes
What do correlation functions compute in CFT?
I'm not sure exactly what kind of information you want, and CFT is an enormous subject, but here is some information
on the physical interpretation of the complex coordinates and correlation functions …
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40
votes
Mathematician trying to learn string theory
Many string theorists would like to know more algebraic geometry. There are a few of us who know algebraic geometry at a pretty high level (not me) but many more who would like to learn more and feel …
111
votes
Accepted
Does Physics need non-analytic smooth functions?
As a physicist "in nature" perhaps I can give a few examples that illustrate how non-analytic functions
can appear in physics and counter the idea that physicists do not worry about the justification
…
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10
votes
Accepted
The use of Hall algebras in physics
In supersymmetric field theories and string theories there are special states called BPS
states which are annihilated by some of the supercharges and whose mass is determined
in terms of their charges …
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6
votes
Higgs mechanism from a deformation quantization point of view
The Higgs mechanism in the Standard Model doesn't have much to do with deformation quantization as other people have explained. However there is a version of the Higgs mechanism in string theory which …
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8
votes
Is there a relation between 4-dimensional general relativity and exotic smooth structures on...
Regarding the first part of this question, in four spacetime dimensions there are no known generic violations of the cosmic censorship hypothesis while above four dimensions there is good evidence tha …
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3
votes
Bimonster and Heterotic String Theory
The bimonster acts as the automorphism group of a particular bosonic closed string theory and D-brane states in this theory that preserve a chiral subalgebra transform in representations of the bimons …
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19
votes
What is the motivation for a vertex algebra?
The answers here have focused on the mathematical aspects of VOAs and the motivation coming from QFT, the specialization to Conformal Field Theory, and then the further specialization to two-dimension …
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20
votes
What makes four dimensions special?
$4=11-7$ and $11$ is the maximal dimension for supersymmetry with spins $\le 2$ while $7$
is the first dimension in which there exist compact manifolds of exceptional holonomy.