Testing the fermionic terms in the non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^3$

Abstract

Recently the construction of the non-abelian effective D-brane action was performed through order ${\alpha }^{\prime }{}^3$ including the terms quadratic in the gauginos. This result can be tested by calculating the spectrum in the presence of constant magnetic background fields and comparing it to the string theoretic predictions. This test was already performed for the purely bosonic terms. In this note we extend the test to the fermionic terms. We obtain perfect agreement.

10 pages, LaTeX

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• Abelian and Non-abelian D-brane Effective Actions
• D=10 supersymmetric Yang-Mills theory at alpha'^4
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• Some tree-level string amplitudes in the NSR formalism
• Supersymmetric action of multiple D0-branes from Matrix theory