Timm Wrase

Linear Versus Non-linear Supersymmetry, in General

A bstractWe study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical multiplets there are Lagrange multiplier (LM) superfields. Once the equations of motion for the LM superfields are solved, some of the physical superfields become constrained. The linear supersymmetry of the original models becomes non-linearly realized, its exact form can be deduced from the original linear supersymmetry. Known examples of constrained superfields are shown to require the following LM’s: chiral superfields, linear superfields, general complex superfields, some of them are multiplets with a spin.

D3 and dS

The role of the D3 brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KKLT construction is clarified. The first step in this direction was explained in (1, 2): it was shown there that in the GKP background the bosonic contributions to the vacuum energy from the DBI and WZ term cancel for a D3 brane, but double for a D3 brane, leading to de Sitter vacua. The next step was taken in (3) where the analogous mechanism of the doubling (cancelation) of the D3 (D3) DBI and WZ terms was discovered in the presence of Volkov-Akulov fermions living on the brane, in a flat supergravity background. Here we confirm this mechanism of doubling/cancelation for the D3/D3 brane in the GKP supergravity background preserving N = 1, d = 4 supersymmetry. We find that imaginary self-dual G (3) flux of type (2,1) nicely removes the SU(3) fermion triplet by giving it a large mass, while leaving the Volkov-Akulov goldstino, which is the SU(3) singlet, massless. This makes the de Sitter landscape in D-brane physics clearly related to de Sitter vacua in effective d = 4 supergravity with a nilpotent multiplet and spontaneously broken supersymmetry.The role of the (D3) over bar brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KK LT construction is clarified. The first step in this direction was explained in [1, 2]: it was shown there that in the CKP background the bosonic contributions to the vacuum energy from the DBI and WZ term cancel for a D3 brane, but double for a (D3) over bar brane, leading to de Sitter vacua. The next step was taken in [3] where the analogous mechanism of the doubling (cancelation) of the (D3) over bar (D3) DBI and WZ terms was discovered in the presence of Volkov-Akulov -fermions living on the brane, in a flat supergravity background. Here we confirm this mechanism of doubling/cancelation for the (D3) over bar /D3 brane in the CKP supergravity background preserving N = 1, d = 4 supersymmetry. We find that imaginary self-dual G((3)) flux of type (2,1) nicely removes the SU(3) fermion triplet by giving it a large mass, while leaving the Volkov-Akulov goldstino, which is the SU(3) singlet, massless. This makes the de Sitter landscape in D-brane physics clearly related to de Sitter vacua in effective d - 4 supergravity with a nilpotent multiplet and spontaneously broken supersymmetry.A bstractThe role of the D3¯

String theory origin of constrained multiplets

overline{mathrm{D}3}

Coupling the inflationary sector to matter

brane in providing de Sitter vacua with spontaneously broken supersymmetry in the KKLT construction is clarified. The first step in this direction was explained in [1, 2]: it was shown there that in the GKP background the bosonic contributions to the vacuum energy from the DBI and WZ term cancel for a D3 brane, but double for a D3¯

Maximal supersymmetry and B-mode targets

overline{mathrm{D}3}

A New Class of de Sitter Vacua in Type IIB Large Volume Compactifications

brane, leading to de Sitter vacua. The next step was taken in [3] where the analogous mechanism of the doubling (cancelation) of the D3¯