Topological quantum field theory TQFT in physics uses the zero-energy sector of the Hilbert space of states that does not include time, which the Hamiltonian eliminates. Mathematically, TQFT is used as an organizing structure for topological or differential invariant manifolds. A \(D\)-dimensional TQFT as a symmetric monoidal factor is given as:

\(Z: \left(\mathscr{B}ord_D^{o r}, \amalg \right) \rightarrow(\text {V}ect, \otimes)\)

\(\mathscr{B}ord_D^{o r}\) is a category of compact objects, boundary-less oriented \((D-1)\)-dimensional... read more

In theoretical physics, the Maldacena Conjecture states supergravity and string theory on the product of \((n+1)\)-dimensional Anti-de Sitter space with a compact manifold capable of describing large \(N\) limits of conformal field theories in \(d\)-dimensions. Correlation functions in CFT are dependent on the supergravity action of asymptotic behavior at infinity... read more

In theoretical physics, Minkowski Space is a particular type of \(4\)-dimensional Lorentzian space, with a Minkowski metric. Where the Minkowski metric is a metric tensor denoted as \(d\tau^2\) with the form \(-\left(d^0\right)^2+\left(d x^1\right)^2\) \(+\;\left(d x^2\right)^2+\left(d x^3\right)^2\). Minkowski space forms the basis of the study of spacetime within special relativity and is... read more