Duality constraints on effective actions

Abstract

Superstring theories at low energy limit are described by the corresponding supergravities, and their non-perturbative D-brane/O-plane excitations are described by DBI and WZ actions. Higher derivative corrections to these effective actions are important for understanding the stringy behavior of the fundamental objects. They may be extracted from the contact terms of the corresponding S-matrix elements. On the other hand, the superstring theories enjoy the T- and S-dualities which appear in the S-matrix elements as duality Ward identities. These Ward identities might be used as generating functions for constructing the S-matrix elements. The dualities may also be used directly to construct the effective actions. In this article, we review the duality Ward identities which can be used to generate S-matrix elements, and review the dualities which may be used directly to construct the higher derivative corrections to the effective actions.

52 pages, latex file, no figure, invited review for Physics Report; v2:references added, minor corrections, the published version

References in corpus (9)

• Double Field Theory
• Duality and Dilaton
• On Wess-Zumino terms of Brane-Antibrane systems
• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• Superstring Scattering from O-planes
• On Chern-Simons Couplings at order $O({\alpha }^{\prime 2})$

Cited by in corpus (28)

• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Supersymmetry and $T\overline{T}$ Deformations
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Four-derivative couplings via T-duality constraint
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• $R^4$ terms in supergravities via T-duality constraint
• Minimal independent couplings at order ${\alpha }^{\prime 2}$
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• The generalized Bergshoeff-de Roo identification II
• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• Curvature corrections to KPV: Do we need deep throats?
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Low momentum expansion of one loop amplitudes in heterotic string theory
• Surface terms in the effective actions via duality constraints
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• S-dual Amplitude and D3-Brane Couplings
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary
• ${\alpha }^{\prime }$-corrections to DBI action via T-duality constraint
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• 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 invariant effective actions at orders ${\alpha }^{\prime },{\alpha }^{\prime 2}$
• Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$
• T-duality constraint on R-R couplings
• $O(D,D)$-constraint on $D$-dimensional effective actions
• Closed superstring moduli tree-level two-point scattering amplitudes in Type IIB orientifold on $T^6/(Z_2\times Z_2)$