String Theory Origin of Constrained Multiplets

Renata Kallosh; Bert Vercnocke; Timm Wrase

doi:10.1007/JHEP09(2016)063

paper

String Theory Origin of Constrained Multiplets

arXiv:1606.09245 · doi:10.1007/JHEP09(2016)063

Abstract

We study the non-linearly realized spontaneously broken supersymmetry of the (anti-)D3-brane action in type IIB string theory. The worldvolume fields are one vector $A_{μ}$ , three complex scalars $ϕ^{i}$ and four 4d fermions $λ^{0}$ , $λ^{i}$ . These transform, in addition to the more familiar N=4 linear supersymmetry, also under 16 spontaneously broken, non-linearly realized supersymmetries. We argue that the worldvolume fields can be packaged into the following constrained 4d non-linear N=1 multiplets: four chiral multiplets $S$ , $Y^{i}$ that satisfy $S^{2} = S Y^{i} = 0$ and contain the worldvolume fermions $λ^{0}$ and $λ^{i}$ ; and four chiral multiplets $W_{α}$ , $H^{i}$ that satisfy $S W_{α} = 0$ and $S D ˉ_{α ˙} H ˉ^{ ˉ} = 0$ and contain the vector $A_{μ}$ and the scalars $ϕ^{i}$ . We also discuss how placing an anti-D3-brane on top of intersecting O7-planes can lead to an orthogonal multiplet $Φ$ that satisfies $S (Φ - Φ ˉ) = 0$ , which is particularly interesting for inflationary cosmology.

28 pages, v2: published version, 1 reference added

String Theory Origin of Constrained Multiplets

Abstract

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