Constrained superfields from an anti-D3-brane in KKLT

Bert Vercnocke; Timm Wrase

doi:10.1007/JHEP08(2016)132

paper

Constrained superfields from an anti-D3-brane in KKLT

arXiv:1605.03961 · doi:10.1007/JHEP08(2016)132

Abstract

The KKLT construction of dS vacua relies on an uplift term that arises from an anti-D3-brane. It was argued by Kachru, Pearson and Verlinde that this anti-D3-brane is an excited state in a supersymmetric theory since it can decay to a supersymmetric ground state. Hence the anti-D3-brane breaks supersymmetry spontaneously and one should be able to package all the world-volume fields on the anti-D3-brane into a four dimensional $N = 1$ supersymmetric action. Here we extend previous results and identify the constrained superfields that correspond to all the degrees of freedom on the anti-D3-brane. In particular, we show explicitly that the four 4D worldvolume spinors give rise to constrained chiral multiplets $S$ and $Y^{i}$ , $i = 1, 2, 3$ that satisfy $S^{2} = S Y^{i} = 0$ . We also conjecture (and provide evidence in a forthcoming publication) that the vector field $A_{μ}$ and the three scalars $ϕ^{i}$ give rise to a field strength multiplet $W_{α}$ and three chiral multiplets $H^{i}$ that satisfy the constraints $S W_{α} = D ˉ_{α ˙} (S H ˉ^{i}) = 0$ . This is the first time that such constrained multiplets appear in string theory constructions.

20 pages, v2: references added

Constrained superfields from an anti-D3-brane in KKLT

Abstract

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