DBI Analysis of Open String Bound States on Non-compact D-branes

CHAPTER 3. SUPERSTRINGS 52associated with the unconstrained theory using the GSO projection, and on the twoType II theories resulting from the closed string spectra. The main purpose <strong>of</strong> thischapter was to obtain the massless fields contained in the Type II theories, given thatthese are the ones that interest us in the remainder <strong>of</strong> this writing, and getting there asfast as possible without being too sloppy. We saw that in the end we obtained spacetimebosons and fermions, and that their numbers agree at every mass level which is agood indication that space-time preserves supersymmetry. We also saw that both TypeII theories contain the (more or less) same g µν , B µν and Φ fields we already encounteredearlier in bosonic string theory. The Ramond-Ramond fields both theories spawned werequite different though, being one- and three-form gauge fields for the Type IIA theory,and zero-, two- and self-dual four-form gauge fields for the Type IIB theory.We omitted a lot <strong>of</strong> the technical subtleties <strong>of</strong> superstring theory. In particular, wedid not go deeply into supersymmetry, and completely disregarded the super-Virasoroalgebra, spawned by the modes <strong>of</strong> the energy-momentum tensor and supercurrent expansions.Readers dissatisfied and/or annoyed by such a lack <strong>of</strong> detail and rigour areurged to consult the given reference works cited in the introductory chapter to remedythis ailment. Complementing these, a good number <strong>of</strong> equally good review papers arewidely available on the internet, some <strong>of</strong> which are also listed in the bibliography.