2013

Higher-derivative couplings in string theory: dualities and the B-field

Liu, James T., Minasian, Ruben

Understand

The first quantum correction to the IIA string effective action arises at the eight-derivative level and takes the schematic form (t_8 t_8 - 1/8 \epsilon\epsilon)R^4 + B_2 \wedge X_8.

This correction, however, cannot be complete by itself, as it is neither supersymmetric nor T-duality covariant.
We reexamine these eight-derivative couplings and conjecture that the simple replacement R -> R(\Omega_+), where \Omega_+ = \Omega + 1/2 H is the connection with torsion, nearly completely captures their dependence on the B-field.
The exception is in the odd-odd spin structure sector, where additional terms are needed.

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