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1 vote
2 answers
366 views

How is a wormhole (Einstein-Rosen Bridge) different than a tunnel?

What is the difference between an Einstein-Rosen Bridge (wormhole) and a tunnel through a mountain? Obviously, light that travelled around the mountain would take longer to reach other side so that ...
Robert's user avatar
  • 79
4 votes
1 answer
222 views

Can topological invariants be related to Noetherian charges?

I recently attended a seminar on physical mathematics, and learned about some topological invariants, especially in 4D spaces. These topological invariants are considered to be invariant under ...
D E's user avatar
  • 55
0 votes
1 answer
45 views

What is the correct domain of integration for the index of instantons? - $\mathbb{R}^4$ or $S^4$?

I posted the original question on Math SE but it seems like a more appropriate question for Physics SE: https://math.stackexchange.com/q/4417225/ In calculating the instanton solutions for $SU(2)$ ...
Keith's user avatar
  • 1,669
2 votes
0 answers
144 views

String topology in string theory

How do string topology, string field theory and topological strings interact? Does anybody see a global picture? By string topology I mean the TQFT based on the homology of the space of loops ...
Pavel's user avatar
  • 131
3 votes
2 answers
338 views

Physical application of Postnikov tower, String$(n)$ and Fivebrane$(n)$

We know that the Spin group is quite a useful concept in physics. For example, Spin$(3)=SU(2)$ (and Spin$(6)=SU(4)$) that describe gauge groups in the Standard model and the isospin symmetry in the ...
wonderich's user avatar
  • 7,848
7 votes
0 answers
110 views

What is the importance of studying degeneration on $M_g$

Let $M_g$ be the moduli space of smooth curves of genus $g$. Let $\overline{M_g}$ be its compactification; the moduli space of stable curves of genus $g$. It seems to be important in physics to study ...
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