# Tagged Questions

Chern-Simons theory is an example of a topological quantum field theory. Its describes the field dynamics through the so-called Chern-Simons-form, hence its name.

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### Why are boundary terms important in Chern-Simons theory?

I am learning about Chern-Simons theory. I work in Euclidean space. The action is given by $$I=\int_{\mathbb{R}^4}d\omega=\int_{\partial\mathbb{R}^4}\omega$$ where $\omega$ is the usual Chern-Simons ...
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### Finding explicit unimodular transformations for Chern-Simons K-matrices

An invertible, symmetric matrix with integer entries, $K$, that encodes the braiding and statistics of an Abelian topologically ordered state, is equivalent to another such matrix, $K'$, if there ...
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### Partition functions for a (3+1)-d TQFT

It is well known that for a Chern-Simons theory defined on an arbitrary (2+1)-d oriented manifold, its partition function can be evaluated based on Witten's surgery method. My question is: is there a ...
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### Doubts about Chern-Simons state as a solution of the Hamiltonian constraint in quantum gravity

I've been doing some work with both Baez's Knots, gauge fields and gravity (1) and Gambini, Pullin's Loops, knots, gauge Theories and quantum gravity (2), lately. I have basically two problems: I ...
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### Simplify $K$-matrix

2+1D Abelian topologically ordered states are believed to be described by multicomponent $U(1)$ Chern-Simons theories, with Lagrangian \mathcal{L}=\frac{K_{IJ}}{4\pi}\epsilon^{\mu\nu\...
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### Thermal AdS3 in Chern Simons

I am currently working with (2+1) gravity in Chern-Simons formulation and I have a question about thermal AdS. The way I understand that one retrieves thermal AdS is by Wick rotation and ...
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### Massive Dirac model Chern number 1/2

Why is massive Dirac model have a Chern number as half? I know this is something related to anomalies. And for fermions we have half, for bosons we have integer. But I failed to find any good ...
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### Local Translation of frame field- Geometric Picture

In order to phrase my question I review my geometrical picture of the first order formulation of gravity: Given some d-dimensional manifold $\mathcal{M}$ one constructs the Frame bundle $FM$, a ...