PIRSA:05020028

Fermions from Half-BPS Supergravity

Mandal, G. (2005). Fermions from Half-BPS Supergravity. Perimeter Institute. https://pirsa.org/05020028

Mandal, Gautam. Fermions from Half-BPS Supergravity. Perimeter Institute, Feb. 23, 2005, https://pirsa.org/05020028 

          @misc{ pirsa_PIRSA:05020028,
            doi = {10.48660/05020028},
            url = {https://pirsa.org/05020028},
            author = {Mandal, Gautam},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Fermions from Half-BPS Supergravity},
            publisher = {Perimeter Institute},
            year = {2005},
            month = {feb},
            note = {PIRSA:05020028 see, \url{https://pirsa.org}}
          }

Gautam Mandal Tata Institute of Fundamental Research (TIFR)

DOI 10.48660/05020028
Collection
Talk Type Scientific Series
Subject

Abstract

We discuss collective coordinate quantization of the half-BPS geometries of Lin, Lunin and Maldacena (hep-th/0409174). The LLM geometries are parameterized by a single function u on a plane. We treat this function as a collective coordinate. We arrive at the collective coordinate action as well as path integral measure by considering D3 branes in an arbitrary LLM geometry. The resulting functional integral is shown, using known methods (hep-th/9309028), to be the classical limit of a functional integral for free fermions in a harmonic oscillator. The function u gets identified with the classical limit of the Wigner phase space distribution of the fermion theory which satisfies u * u = u. The calculation shows how configuration space of supergravity becomes a phase space (hence noncommutative) in the half-BPS sector. Our method sheds some new light on counting supersymmetric configurations in supergravity.