Quantization of D-brane Actions in the ADM Formalism

by Dr Usha Kulshreshtha (Department of Physics, Kirori Mal College, University of Delhi, Delhi-110007, India)

Tuesday 29 Sept 2015, 14:00 → 15:00 Europe/Rome

In this talk, I would consider the constraint quantization techniques and  apply them to consider the quantization of the several D-brane actions. I would first consider the actions involving the square-roots, like the  relativistic point particle, Nambu-Goto action, Born-Infeld-Nambu-Goto  action, Dirac-Born-Infeld-Nambu-Goto action. Then I would consider the actions without the square roots like the Polyakov-type of actions which do not involve a square. I would then consider the conformally gauge-fixed Polyakov D1-brane  action  (CGFPD1BA) and subsequently consider its instant-form and  light-front quantization. Then I would consider this action by putting in  more gauge fields in to the action like the 2-form gauge field, the axion field and the U(1) gauge field. I would also consider the string gauge  symmetries in this context. Then I would consider the Polyakov D1-brane action in the ADM formalism and discuss its quantization using the shift vectors and the lapse function.