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- W2129426304 abstract "In this paper we show that in the presence of an anti-symmetric tensor $B$-background, Witten's star algebra for open string fields persists to possess the structure of a direct product of commuting Moyal pairs. The interplay between the noncommutativity due to three-string overlap and that due to the $B$-background is our main concern. In each pair of noncommutative directions parallel to the $B$-background, the Moyal pairs mix string modes in the two directions and are labeled, in addition to a continuous parameter, by {it two} discrete values as well. However, the Moyal parameters are $B$-dependent only for discrete pairs. We have also demonstrated the large-$B$ contraction of the star algebra, with one of the discrete Moyal pairs dropping out while the other giving rise to the center-of-mass noncommutative function algebra." @default.
- W2129426304 created "2016-06-24" @default.
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- W2129426304 date "2003-06-11" @default.
- W2129426304 modified "2023-09-23" @default.
- W2129426304 title "Moyal representation of the string field star product in the presence of aBbackground" @default.
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- W2129426304 doi "https://doi.org/10.1103/physrevd.67.126003" @default.
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