P-term inflation is a version of hybrid inflation which naturally appears insome brane inflation models. It was introduced in the framework of N=2supersymmetric gauge theory where superconformal SU(2,2|2) symmetry is brokendown to N=2 supersymmetry by the vev of the auxiliary triplet field P.Depending on the direction of this vev, one can get either D-term inflation orF-term inflation with a particular relation between Yukawa and gauge coupling,or a mix of these models. We show that F and D models, before coupling togravity is included, are related by a change of variables. Coupling of thismodel to N=1 supergravity breaks this symmetry and introduces a class of P-termmodels interpolating between D-term and F-term inflation. The differencebetween these models is determined by the direction of the vector P, whichdepends on the fluxes in the underlying D3/D7 model of brane inflation. Wediscuss cosmological consequences of various versions of P-term inflation.
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