${\alpha }^{\prime }$-corrections to DBI action via T-duality constraint

Abstract

It is known that D${}_p$-brane effective action at the leading order of ${\alpha }^{\prime }$ in flat space-time which is given by DBI action, transforms to D${}_{p-1}$-brane effective action under standard T-duality transformations of the open string gauge bosons and transverse scalar fields. Extending this duality to order ${\alpha }^{\prime }$, one may find corrections to the DBI action which include the second fundamental form $\Omega$ and the covariant derivative of gauge field strength $DF$, as well as the corrections to the T-duality transformations. Using this idea, up to two parameters, we have found all 81 covariant couplings of $DFDF$ and $\Omega \Omega$ with zero, two, four and six $F$'s. The four gauge field couplings that the T-duality constraint fixes are consistent with the known couplings in the literature.

arXiv comment24 pages, no figure, Latex file;v2: the version appears in npb, v3: a mistake in the footnote 4 is corrected

References in corpus (26)

• String Theory and Noncommutative Geometry
• Dielectric-Branes
• Target Space Duality in String Theory
• Double Field Theory
• Superspace Duality in Low-Energy Superstrings
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• D-brane dynamics
• Double Field Theory: A Pedagogical Review
• An Introduction to T-Duality in String Theory
• xTras: a field-theory inspired xAct package for Mathematica
• Curvature terms in D-brane actions and their M-theory origin
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Manifest Duality in Low-Energy Superstrings
• Duality Beyond the First Loop
• Derivative corrections to D-brane actions with constant background fields
• Solution--Generating Transformations and the String Effective Action
• Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map
• Duality constraints on effective actions
• $R^4$ terms in supergravities via T-duality constraint
• On Background Independence and Duality Invariance in String Theory
• More About Partition Function of Open Bosonic String in Background Fields and String Theory Effective Action
• On Background Independence in String Theory
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• $O(D,D)$-constraint on $D$-dimensional effective actions
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field

Cited by in corpus (3)

• S-dual Amplitude and D3-Brane Couplings
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• T-duality of D-brane versus O-plane actions