D=10 Super-Yang-Mills at O(alpha'^2)

Abstract

Using superspace techniques, the complete and most general action of D=10 super-Yang--Mills theory is constructed at the alpha'^2 level. No other approximations, e.g., keeping only a subset of the allowed derivative terms, are used. The Lorentz structure of the alpha'^2 corrections is completely determined, while (depending on the gauge group) there is some freedom in the adjoint structure, which is given by a totally symmetric four-index tensor. We examine the second, non-linearly realised supersymmetry that may be present when the gauge group has a U(1) factor, and find that the constraints from linear and non-linear supersymmetry to a large extent coincide. However, the additional restrictions on the adjoint structure of the order alpha'^2 interactions following from the requirement of non-linear supersymmetry do not completely specify the symmetrised trace prescription.

19 pp., plain tex

Cited by in corpus (60)

• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Spinorial cohomology and maximally supersymmetric theories
• Integral invariants in N=4 SYM and the effective action for coincident D-branes
• Covariant One-Loop Amplitudes in D=11
• Multiple Membranes in M-theory
• The non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^4$
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• Supersymmetric Born-Infeld from the Pure Spinor Formalism of the Open Superstring
• Supersymmetric Yang-Mills theory at order alpha'^3
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• On higher-order corrections in M theory
• The Power of the Higgs Mechanism: Higher-Derivative BLG Theories
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Towards a manifestly supersymmetric action for 11-dimensional supergravity
• Kappa-symmetric non-abelian Born-Infeld actions in three dimensions
• D-brane Models with Non-Linear Supersymmetry
• Pure spinor superfields and Born-Infeld theory
• Higher order contributions to the effective action of N=4 super Yang-Mills
• One-loop effective action for $\mathcal{N}=4$ SYM theory in the hypermultiplet sector - leading low-energy approximation and beyond
• Double supergeometry
• 4-point effective actions in open and closed superstring theory
• D=4 supergravity dynamically coupled to a massless superparticle in a superfield Lagrangian approach
• Supersymmetric Born-Infeld from the D9-brane
• Classical solutions for exotic instantons?
• Derivative corrections in 10-dimensional super-Maxwell theory
• Spinorial cohomology of abelian d=10 super-Yang-Mills at alpha'^3
• The cohomology of superspace, pure spinors and invariant integrals
• D=10 supersymmetric Yang-Mills theory at alpha'^4
• Loop amplitudes in maximal supergravity with manifest supersymmetry
• Equations of motion from Cederwall's pure spinor superspace actions
• Scattering on D3-branes
• The deformed M2-brane
• Testing the fermionic terms in the non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^3$
• Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace
• General covariance of the non-abelian DBI-action: Checks and Balances
• Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories
• 11D supergravity at $\mathcal{O}(l^3)$
• Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory
• D=4 supergravity dynamically coupled to superstring in a superfield Lagrangian approach
• Superembedding approach to Dp-branes, M-branes and multiple D(0)-brane systems
• The geometry of pure spinor space
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• An off-shell superspace reformulation of D=4, N=4 super-Yang-Mills theory
• The effective action for the 4-point functions in abelian open superstring theory
• On Pure Spinor Superfield Formalism
• Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 boundary superspace
• Some tree-level string amplitudes in the NSR formalism
• Kappa-symmetric Derivative Corrections to D-brane Dynamics
• Twistors and supertwistors for exceptional field theory
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Noncommutative Supersymmetric Yang-Mills Theory in Ten-Dimensions with Higher-Derivative Terms
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
• Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D
• Supersymmetric action of multiple D0-branes from Matrix theory
• M(atrix) model interaction with 11D supergravity
• Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills