sl(2,R) as I remember is isomorphic to so(2,1). Thanks so much for your reply- this way of interpreting it makes sense. Sorry, that I am replying so late- I thought I had already replied
I'm sorry, my statement was incorrect. You are right about the Poincare algebra. I meant the Poincare algebra in 3dim (not 4dim) space and not the dimension of the Lie algebra. by sl(2,R) + R^3 the direct sum of the special linear algebra sl(2, R) and R^3 is denoted
I'm currently reading the paper "Higher Spin extension of cosmological spacetimes in 3d: asymptotically flat behaviour with chemical potentials in thermodynamics"
I'm looking at equation (3) on page 4. I know that symmetrization brackets work like this
A_(a b) = (A_ab + A_ba)/2. However I have...
Within my project thesis I stumbled over the term SU(2)_V, SU(2)_A transformations. Although I know U(1)_V, U(1)_A transformations from the left and right handed quarks( U(1)_V transformations transform left and right handed quarks the same way, while U(1)_A transformations transform them with a...
Hi all,
I am currently working on the Skyrme model. In the paper of Zahed and Brown: "The Skyrme Model" which can be found online they want to calculate the magnetic momenta of protons and neutrons. They do this by first calculating the isoscalar and isovector magnetic moments(p.69). However, I...