In theoretical physics, Ramond–Ramond fields are differential form fields in the 10-dimensional spacetime of type II supergravity theories, which are the classical limits of type II string theory. The ranks of the fields depend on which type II theory is considered. As Joseph Polchinski argued in 1995, D-branes are the charged objects that act as sources for these fields, according to the rules of p-form electrodynamics. It has been conjectured that quantum RR fields are not differential forms, but instead are classified by twisted K-theory.
The adjective "Ramond–Ramond" reflects the fact that in the RNS formalism, these fields appear in the Ramond–Ramond sector in which all vector fermions are periodic. Both uses of the word "Ramond" refer to Pierre Ramond, who studied such boundary conditions and the fields that satisfy them in 1971.
Read more about Ramond–Ramond Field: Ramond–Ramond Gauge Transformations
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... It has been conjectured that RR fields, as well as D-branes, are classified by twisted K-theory ... The source free equations of motion for the improved field strengths F imply that the formal sum of all of the Fp's is an element of the H-twisted de Rham cohomology ... The improved field strengths F live in the classical theory, where the transition from quantum to classical is interpreted as tensoring by the rationals ...
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