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minimal models : ウィキペディア英語版
minimal models
In theoretical physics, the minimal models are a very concrete well-defined type of rational conformal field theory. The individual minimal models are parameterized by two integers ''p,q'' that are moreover related for the unitary minimal models.
==Classification==

* c = 1 - 6
* h = h_(c) = \over 4pq}
These conformal field theories have a finite set of conformal families which close under fusion. However, generally these will not be unitary. Unitarity imposes the further restriction that q and p are related by q=m and p=m+1.
: c = 1- = 0,\quad 1/2,\quad 7/10,\quad 4/5,\quad 6/7,\quad 25/28, \ldots
for ''m'' = 2, 3, 4, .... and ''h'' is one of the values
: h = h_(c) =
for ''r'' = 1, 2, 3, ..., ''m''−1 and ''s''= 1, 2, 3, ..., ''r''.
The first few minimal models correspond to central charges and dimensions:
*''m'' = 3: ''c'' = 1/2, ''h'' = 0, 1/16, 1/2. These 3 representations are related to the Ising model at criticality. The three operators correspond to the identity, spin and energy density respectively.
*''m'' = 4: ''c'' = 7/10. ''h'' = 0, 3/80, 1/10, 7/16, 3/5, 3/2. These 6 give the scaling fields of the tri critical Ising model.
*''m'' = 5: ''c'' = 4/5. These give the 10 fields of the 3-state Potts model.
*''m'' = 6: ''c'' = 6/7. These give the 15 fields of the tri critical 3-state Potts model.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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