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1 vote
2 answers
367 views

Regarding a possible duality between (2+1)D gravity and Chern-Simons Theory

Is there a duality between (2+1)D gravity and Chern-Simons Theory? Or they merely have related features? If so, of which type and why?
Marco Tavora's user avatar
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 ...
heinrich.42's user avatar
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^{\...
heinrich.42's user avatar
3 votes
1 answer
129 views

Possible string duality example?

One can consider the Calabi-Yau threefold K3$\times E$ where the Donaldson-Thomas theory is conjectured to be the (inverse of) the Igusa cusp form $\chi_{10}(q,y,p)$. The variables $q,y,p$ aren't ...
Benighted's user avatar
  • 697
6 votes
1 answer
263 views

Yang-Mills/topological string theory (M-theory) duality

It is known that there is a duality between Chern-Simons theory on 3-fold $X$ and topological A-model on the cotangent bundle of this manifold, $T^*X$ (see, for example, the original paper by Witten, ...
9 votes
1 answer
594 views

Mathematical content of Thirring/Sine-Gordon duality

I'm a mathematician who is intrigued by the duality between the Thirring and Sine-Gordon models as established by Sidney Coleman. Can someone explain the mathematical content of this duality to me? (...
Brian Klatt's user avatar
2 votes
1 answer
232 views

Kalb-Ramond action and topological string radiation

Let's have simple scalar $\Phi$ action involves spontaneously symmetry breaking in a form $$ \tag 1 S = \int d^{4}x\left( |\partial_{\mu}\psi|^{2} + \psi^{2}|\partial_{\mu}\theta |^{2} - \frac{\lambda}...
Name YYY's user avatar
  • 8,901
12 votes
0 answers
357 views

Intuition for Homological Mirror Symmetry

first of all, I need to confess my ignorance concerning physics since I'm a mathematician. I'm interested in the physical intuition of the Langlands program, therefore I need to understand what ...
user40276's user avatar
  • 1,043
6 votes
1 answer
236 views

About the duality when embedding Gopakumar-Vafa into superstring theory

Vafa proposed a duality when embedding the Gopakumar-Vafa duality into superstring theory. Vafa's duality is about a correspondence N=1 supersymmetric gauge theory and superstring propagating on ...
thone's user avatar
  • 1,863