- #1
latentcorpse
- 1,444
- 0
Hi,
I'm curious as to the differences between gauged and ungauged SUSY and gauged and ungauged SUGRA. Perhaps I can break down my problems into the following few questions:
(i) I understand that to go from SUSY to SUGRA, one must make the supersymmetry local. What does this mean? I've read that it involves gauging the superpoincare group - how do you do this?
(ii) Within the context of SUGRA (or SUSY), what's the difference between the gauged and ungauged versions? I've read online that essentially the gauged version essentially just has some additional gauge group (as the name suggests). However, we are able to add matter multiplets (in particular vector/gauge multiplets) to the ungauged theory and surely this would correspond to some gauge symmetry? What's going on here? This is really confusing me!
(iii) In the ungauged case, as I said above, it is possible to have electric charges i.e. some U(1) gauge symmetry but then why do we need gauged supergravity to describe the dyonic case of electric and magnetic charges?
(iv) What is the "flux potential" in the gauged case and what is its role as well as the role of fluxes in the gauged case?
(v) Are we allowed Fayet-Iliopoulos terms in both cases?
Thank you.
I'm curious as to the differences between gauged and ungauged SUSY and gauged and ungauged SUGRA. Perhaps I can break down my problems into the following few questions:
(i) I understand that to go from SUSY to SUGRA, one must make the supersymmetry local. What does this mean? I've read that it involves gauging the superpoincare group - how do you do this?
(ii) Within the context of SUGRA (or SUSY), what's the difference between the gauged and ungauged versions? I've read online that essentially the gauged version essentially just has some additional gauge group (as the name suggests). However, we are able to add matter multiplets (in particular vector/gauge multiplets) to the ungauged theory and surely this would correspond to some gauge symmetry? What's going on here? This is really confusing me!
(iii) In the ungauged case, as I said above, it is possible to have electric charges i.e. some U(1) gauge symmetry but then why do we need gauged supergravity to describe the dyonic case of electric and magnetic charges?
(iv) What is the "flux potential" in the gauged case and what is its role as well as the role of fluxes in the gauged case?
(v) Are we allowed Fayet-Iliopoulos terms in both cases?
Thank you.