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Results tagged with lie-algebra
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user 61966
A vector space $\mathfrak{g}$ over some field $F$ and kitted with a bilinear, antisymmetric and Jacobi-identity-fulfilling product ("Lie Bracket" or "commutator"). In physics, most often arises as the Lie algebra (tangent space to the identity) of a Lie group; in gauge theories, basis vectors of the gauge group's Lie algebra correspond to Noether currents and conserved quantities.
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Degrees of freedom of a $d$ level system and the dimension of its Bloch manifold
A qubit is described by two independent degrees of freedom that parametrize the Bloch sphere.
Question:
For a level $d$ level system, i.e., a qu$d$it, what are the corresponding degrees of freedom? An …
- 2,218
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Reference request: Relation between $Sp(N)$, $Spin(N) $, $SU(N)$ groups and physics [duplicate]
I want to understand the relationship of the so common $SU(N)$ and $SO(N)$ groups in physics with the symplectic group which I think is the double cover of the first and the Spin groups $Spin(N)$.
Is …
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What exactly are the ADE type of gauge theories?
What exactly are the ADE type of (susy) gauge theories? What exactly we mean, intuitively, the ADE singularities? What are their relation to brane constructions and do you have any references one coul …
- 2,218