PIRSA:08090003 Scientific Series Quantum Fields and Strings

DOI10.48660/08090003

Series: Quantum Fields and Strings

Distler, J. (2008). Orientifolds and Twisted KR Theory. Perimeter Institute. https://pirsa.org/08090003

Distler, Jacques. Orientifolds and Twisted KR Theory. Perimeter Institute, Sep. 09, 2008, https://pirsa.org/08090003 

@misc{ pirsa_PIRSA:08090003,
  doi = {10.48660/08090003},
  url = {https://pirsa.org/08090003},
  author = {Distler, Jacques},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Orientifolds and Twisted KR Theory},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {sep},
  note = {PIRSA:08090003 see, \url{https://pirsa.org}}
}

Abstract

I will report on some work in progress with Dan Freed and Greg Moore. In an orientifold background, D-brane charge takes values in a certain twisted version of KR Theory. Moreover, there is a nontrivial background charge (\'tadpole\'). Up \'til now, this background charge has only been calculated rationally -- i.e., ignoring torsion. We derive a formula for it, over the integers. Only after \'inverting 2\', does the charge localize to the fixed point sets of the orientifold action, and we can give a compact formula for it. This reproduces the previously known rational results, but contains new information.

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