It's just like the Calabi-Yau manifold in string theory.
As usual, the first step is to provide the basic definitions.
The scary thing is, once Qiao Ze opened his mind, ideas began to surge in his head like a tide.
[Let Q represent the supersymmetry generator, which needs to be fermionic.]
[Pμ represents the momentum operator, which is bosonic.]
[Mμν represents the Lorentz rotation generator, which is also bosonic.]
...
Then, these generators need to obey the following commutation and anti-commutation relations.
{Q, Q} = 2γμPμ
[Pμ, Q] = 0
[Mμν, Q] = (1/2)σμνQ
γμ is naturally the Dirac matrix, and σμν is the generator of the Lorentz group.
At this point, it is necessary to introduce a geometric structure M within transcendental geometry to represent the curled space of the extra dimensions. Then, this theoretical model can be expressed via a Lagrangian function L that encompasses all these elements:
L = ∫d⁴xd²θK(Φ, Φ, ∂μΦ, ∂μΦ) + ∫d⁴xF(Φ, Φ, ∇μΦ, ∇μΦ)...
