Constrained superfields from an anti-D3-brane in KKLT

Abstract

© 2016, The Author(s). 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 Y i , i = 1, 2, 3 that satisfy S 2 = SY 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 SW α = D¯ α⋅ (SH¯ i ) = 0. This is the first time that such constrained multiplets appear in string theory constructions.20 pages, v2: references addedstatus: publishe