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1 vote
0 answers
33 views

Why Is There No Oscillator Representation for Operators in Planar ${\cal N}=4$ SYM Theory?

I'm studying the planar ${\cal N}=4$ Super Yang-Mills (SYM) theory and I'm curious about the representations of its operators, specifically the Hamiltonian and the dilatation operator. In many quantum ...
iron's user avatar
  • 43
10 votes
2 answers
3k views

Dilation operator in CFT viewed as 'hamiltonian'?

From the commutation relations for the conformal Lie algebra, we may infer that the dilation operator plays the same role as the Hamiltonian in CFTs. The appropriate commutation relations are $[D,P_{...
CAF's user avatar
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