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Prepotential in 5d $\mathcal{N}=1$ with higher-derivative correction

The (bosonic part of the) action of five-dimensional $\mathcal{N}=1$ supergravity coupled to a number of vector multiplets reads $$S=\frac{1}{2\kappa_5^2}\int\star(R-\frac{1}{2}h_{ij}(\phi)\partial-\...
TwoStones's user avatar
2 votes
0 answers
88 views

How to construct the final action for a supergravity theory $N = 1$ in 4D?

I am trying to understand the basics of supergravity theory $N = 1$ in 4D, which combines supersymmetry and general relativity. I know that the theory involves a spin 2 field whose quantum is the ...
Olandelie's user avatar
  • 168
3 votes
1 answer
432 views

Is there a Lagrangian for Super-Gravity?

Einsteins field equations can be derived from the Einstein-Hilbert action which only involves the scalar curvature $R$ of the spacetime manifold. This is simply $$S = \int_M R.$$ The volume form or ...
Mozibur Ullah's user avatar
2 votes
1 answer
216 views

Gravitino Equation of motion in second-order formalism

In Freedman and Proeyen's text on supergravity they derive the equation of motion for the gravitino using the second order formalism. However, I'm not exactly clear as to how they use partial ...
huntercallum's user avatar
2 votes
0 answers
107 views

New-minimal vs old-minimal supergravity

New-minimal set of supergravity auxiliary fields includes a two-form field, whereas the old-minimal auxiliary set includes a vector and a complex scalar. Is anyone aware of how to transform between ...
Kosm's user avatar
  • 2,736
3 votes
0 answers
702 views

$D=10$ Type IIB Supergravity action

In this review of SUSY gauge theories and the $AdS-CFT$ correspondence, on Page-29, firstly the Supergravity action for $D = 11$ is written. The authors then say that the action for the Type IIA ...
Bruce Lee's user avatar
  • 5,287
7 votes
2 answers
1k views

Action with self-dual form field strength

It is said that writing down an action in presence of a self-dual field strength is subtle and not known till date (February 2016). The familiar example people give is that of type IIB super-gravity ...
Physics Moron's user avatar
8 votes
1 answer
487 views

Is it possible to derive the brane action in pure supergravity?

The branes that source the RR fields of supergravity are described by the DBI action plus a CS term. I know this only from superstring considerations. Is there a way to find this result without ...
arovai's user avatar
  • 721
3 votes
1 answer
803 views

Derivation of the supergravity action in 11D

The Einstein-Hilbert action of general relativity is uniquely determined by general covariance and the requirement that only second derivatives in the metric appear. Yang-Mills theory can be motivated ...
orbifold's user avatar
  • 1,504