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Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
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The leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order. This result generalizes previous calculations by including arbitrary fermionic background field configurations. The interaction potential at orders 1/r^7 and 1/r^8 is shown to correspond precisely with the leading terms expected from linearized supergravity interactions between arbitrary objects in M-theory. General expressions for the stress tensor, membrane current and 5-brane current of an arbitrary matrix configuration are derived, including fermionic contributions. Supergravity effects which are correctly reproduced include membrane/5-brane interactions, 0-brane/6-brane interactions, supercurrent/supercurrent interactions and the spin contributions to moments of the supergravity currents. The matrix theory description of the supergravity stress tensor, membrane current and 5-brane current are used to propose an explicit formulation of matrix theory in an arbitrary background metric and 3-form field.
Forward citations
Cited by 4 Pith papers
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A maximally supersymmetric extension of BFSS is obtained by adding a 5-bracket, promoting the 2-bracket structure constants to a dynamical field H_abc with Chern-Simons kinetics and an F^{2}=1 relation, with the actio...
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A Novel Matrix Model for the M5-brane?
A maximally supersymmetric formal extension of BFSS by a 5-bracket exists once the 2-bracket structure constants are promoted to a dynamical self-dual field subject to Filippov and BPS quadratic constraints.
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Twisting BFSS & IKKT
The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...
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A Soft Theorem from vertex-like operators in BFSS Theory
In the large-distance effective theory of BFSS, graviton-like vertex operators are shown to have correlators that factorize in the soft limit at leading and subleading order, matching the predicted BFSS soft theorem.
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