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On the extension of double copy procedure to higher derivative double field theory
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Double field theory (DFT) can be constructed from the color-kinematic double copy of Yang- Mills theory. In a recent work, this construction has been extended to higher-derivative terms, starting from the four-derivative extension of Yang-Mills theory, to obtain a conformally invariant DFT action up to the third order. Here, I attempt to extend this idea by introducing a method, inspired by the background independent formulation of DFT, to obtain third order higher derivative terms directly from the second order higher derivative terms. The third-order terms I obtain do not match those obtained directly from the double-copy map. A clear understanding of this mismatch can give valuable information about the double copy procedure for DFT, its relation to background independence, and the conformal symmetry in double configuration space.
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Cited by 2 Pith papers
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From noncommutative Yang-Mills to noncommutative gravity through a classical double copy map
The classical double copy of noncommutative Yang-Mills yields a theta-squared-corrected cubic double field theory action whose pure gravity limit is Einstein-Hilbert plus Riemann-cubed terms in D=4 transverse-traceless gauge.
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Double Copy Map for Double Field Theory on an Arbitrary Constant Background
A double copy map from two Yang-Mills theories around background gauge fields yields the double field theory action on an arbitrary constant background, up to third order.
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