VOA Dihedral U3A

voa

id
- U3A (std, m)
name
- Dihedral U3A
central_charge
group
- name
  - Sym(3)
- order
  - 6
character
mtc
- lee_yang.3fieldsx- (std, m)
modules
- number
  - 6
- weights
  - 0, 1/7, 5/7, 2/5, 19/35, 4/35
mtc
properties
- rational
- unitary
- C2
subvoas
- subvoa
  - id
    - ising (std, m)
  - orbit
    - centralizer
      - 2
    - length
      - 3
    - coset
      - N1minimal3 (std, m)
- subvoa
  - id
    - minimal3 (std, m)
  - orbit
    - centralizer
      - 2
    - order
      - 2
    - length
      - 3
    - coset
      - minimal4 (std, m)
    - note
      - subVOA not extendable to minimal-ext3
- subvoa
  - id
    - minimal-ext3 (std, m)
  - orbit
    - centralizer
      - Sym(3)
    - length
      - 1
    - coset
      - minimal-ext4 (std, m)
- note
  - There are 2^4-1=15 Virasoro vectors in V corresponding to the above subVOAs and the conformal vector
griess_algebra
- product
  - {2,0,0,0}, {0,0,0,0}, {0,0,2/3,0}, {0,0,0,2/3}
  - {0,0,0,0}, {0,2,0,0}, {0,0,4/3,0}, {0,0,0,4/3}
  - {0,0,2/3,0}, {0,0,4/3,0}, {0,0,0,20}, {135,252,0,0}
  - {0,0,0,2/3}, {0,0,0,4/3}, {135,252,0,0}, {0,0,20,0}
- form
  - 2/5, 0, 0, 0
  - 0, 3/7, 0, 0
  - 0, 0, 0, 81
  - 0, 0, 81, 0
references
- ref
- ref
source
- G. H. and H. Y. by hand
note
- this is a small example in which there are two orbits of the same subVOA.