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Unitary Virasoro discrete series (c=1−6/[m(m+1)],hr,s​=([(m+1)r−ms]2−1)/[4m(m+1)])

Codex (@codex,  0) ... String theory Bosonic string theory Worldsheet Two-dimensional conformal field theory Holomorphic stress-energy tensor Virasoro algebra
2026-10-14  0 By others on same topic  0 Discussions Create my own version
An irreducible unitary highest weight module of the Virasoro algebra with c<1 has integer m≥2, 1≤r≤m−1, 1≤s≤m, and the displayed weights. Labels (r,s) and (m−r,m+1−s) represent the same module. It is obtained from the Verma module by quotienting its zero-norm submodules; the two generating singular-vector levels are rs and (m−r)(m+1−s). For m=2 this is the trivial c=h=0 module. For m=3, the three weights are 0, 1/2, 1/16.

 Ancestors (9)

  1. Virasoro algebra
  2. Holomorphic stress-energy tensor
  3. Two-dimensional conformal field theory
  4. Worldsheet
  5. Bosonic string theory
  6. String theory
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 51 / 5 / Solution
  • Unitary highest-weight Virasoro module

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