ar X iv : h ep - t h / 02 04 19 9 v 3 3 F eb 2 00 4 HOLONOMY ON D - BRANES

ar X iv : h ep - t h / 02 04 19 9 v 1 2 4 A pr 2 00 2 HOLONOMY ON D - BRANES

This paper shows how to construct anomaly free world sheet actions in string theory with D-branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geometric objects which are naturally associated to D-branes and connections on them. The holonomy of these connections can be used to cancel global anomalies in the world sheet action.

ar X iv : h ep - t h / 01 02 04 8 v 1 9 F eb 2 00 1 Electroweak Theory and Noncommutative Geometry

The noncommutative generalisation of the standard electroweak model due to Balakrishna, Gürsey and Wali is formulated in terms of the derivations Der 2 (M 3) of a three dimensional representation of the su(2) Lie algebra of weak isospin. A light Higgs boson of mass about 130 GeV, together with four very heavy scalar bosons are predicted.

ar X iv : h ep - t h / 04 12 11 9 v 3 4 M ay 2 00 5 Some remarks on Gopakumar - Vafa invariants

We show that Gopakumar-Vafa (GV) invariants can be expressed in terms of the cohomology ring of moduli space of D-branes without reference to the (sl2)L ⊕ (sl2)R action. We also give a simple construction of this action.

ar X iv : h ep - p h / 04 02 19 0 v 2 2 6 M ay 2 00 4 1 Pentaquarks in the 10 F - and 10 F - plets

ar X iv : h ep - t h / 02 02 04 4 v 1 7 F eb 2 00 2 NTUA – 02 – 2002 hep - th / 0202044 Brane Cosmology

The aim of these lectures is to give a brief introduction to brane cosmology. After introducing some basic geometrical notions, we discuss the cosmology of a brane universe with matter localized on the brane. Then we introduce an intrinsic curvature scalar term in the bulk action, and analyze the cosmology of this induced gravity. Finally we present the cosmology of a moving brane in the backgr...