Constrained superfields from an anti-D3-brane in KKLT

Abstract

The KKLT construction of dS vacua [1] relies on an uplift term that arises from an anti-D3-brane. It was argued by Kachru, Pearson and Verlinde [2] 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 Yi, i = 1, 2, 3 that satisfy S2 = SYi = 0. We also conjecture (and provide evidence in a forthcoming publication) that the vector field Aμ and the three scalars ϕi give rise to a field strength multiplet Wα and three chiral multiplets Hi that satisfy the constraints SWα= D¯ α⋅(SH¯ i) = 0. This is the first time that such constrained multiplets appear in string theory constructions.