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Results tagged with virasoro-algebra
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user 117247
7
votes
1
answer
1k
views
The use of Schur's lemma for Lie algebras in physics (CFT)
Anytime a one-dimensional central extension appears in the physics literature, immediately they assume that in any irreducible representation the central charge will be a multiple of the identity, imp …
- 379
3
votes
1
answer
207
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GKO (or coset) construction - all possible highest weights $h$
I am reading the famous paper "Unitary Representations of the Virasoro and Super-Virasoro Algebras" by Goddard, Kent, Olive.
From a compact simple Lie algebra $\mathfrak{g}$ and a Lie subalgebra $\ma …
- 379
1
vote
0
answers
101
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Different views on Highest weight irreducible modules of the Virasoro algebra
Every highest weight irreducible representation of the Virasoro algebra can be labelled uniquely by a pair $(c,h)$ of complex numbers [1]. This module can be written as quotient of the unique (up to i …
- 379