All Questions
Tagged with duality group-theory
8
questions
1
vote
1
answer
81
views
Electromagnetic duality and vector/pseudovector transformation properties
One consequence of electromagnetic duality (see e.g., https://doi.org/10.1038/s41467-023-36420-4) is that if we have a system described by permittivity and permeability profile $(\varepsilon, \mu)(\...
- 136
2
votes
0
answers
122
views
What's the symmetry group $SU(N)/Z_N$?
I'm trying to understand David Tong's notes, specifically the discussion around page 92 where he's arguing that a different symmetry group may the group of QCD, namely $G'=SU(N)/Z_N$ instead of $G=SU(...
- 43
6
votes
1
answer
2k
views
Symmetry of Maxwell equations for electric-magnetic duality
According to Griffiths's book on electrodynamics, including magnetic charge the Maxwell equations become
$$
\begin{align*}
\nabla \cdot \vec{E} &= \frac{\rho_e}{\epsilon_0} &&&
\nabla ...
- 1,970
11
votes
3
answers
1k
views
Chirality of the Electromagnetic Field Tensor
I have learned that chirality is a concept, that appears for $(A,B)$ representations of the Lorentz group, where $A\neq B$.
An example would be a Dirac spinor, corresponding to the representation $(\...
- 2,648
3
votes
0
answers
88
views
Does topological mass imply preservation of global symmetry whose current is topological?
This question is general but the motivation for it lies within the paper "A Duality Web in 2+1 Dimensions and Condensed Matter Physics". On pages 20-23, they consider a system which has four phases ...
- 91
6
votes
1
answer
529
views
Why does a monopole operator break the global symmetry with topological current?
I am currently reading the paper "A Duality Web in 2+ 1 Dimensions and Condensed Matter Physics" by Seiberg et al, and on page 22 they add to the Lagrangian a monopole operator of the form $\phi^{\...
- 91
2
votes
0
answers
99
views
Questions about T- and U- dualities and the non-compact U(1) [closed]
I'm studying Witten's paper, "String Theory Dynamics in Various Dimensions" (arXiv:hep-th/9503124), and have a few questions from this paper about T- and U- dualities.
On page 3, in the last ...
- 2,095
2
votes
1
answer
809
views
Moduli space of torus compactifications
I am trying to understand some general statements made in the lecture notes by Vafa entitled "Lectures on Strings and Dualities" concerning toroidal compactifications (arXiv:hep-th/9702201).
Question ...
- 2,095