The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections

Abstract

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on certain fields which in the on-shell theory are constructed as composite ones out of the physical fields. These conditions must hence be satisfied by any kind of theory in ten dimensions invariant under supersymmetry and some, abelian or non-abelian, gauge symmetry. Deformations of the ordinary SYM theory (as well as the fields) are identified as elements of a certain spinorial cohomology, giving control over field redefinitions and the distinction between physically relevant higher-order corrections and those removable by field redefinitions. The conditions derived severely constrain theories involving F^2-level terms plus higher-order corrections, as for instance those derived from open strings as effective gauge theories on D-branes.

plain tex, 18 pp., 3 figs

Cited by in corpus (70)

• R^4, purified
• 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
• The non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^4$
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• 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
• Towards a manifestly supersymmetric action for 11-dimensional supergravity
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Invariants and divergences in half-maximal supergravity theories
• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Pure spinor superfields and Born-Infeld theory
• Superalgebras, constraints and partition functions
• Higher order contributions to the effective action of N=4 super Yang-Mills
• Higher Derivative Supergravities in Diverse Dimensions
• Double supergeometry
• 4-point effective actions in open and closed superstring theory
• Lower-dimensional pure-spinor superstrings
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• D=4 supergravity dynamically coupled to a massless superparticle in a superfield Lagrangian approach
• Supersymmetric Born-Infeld from the D9-brane
• Higher order terms in the non-abelian D-brane effective action and magnetic background fields
• 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
• Abelian and Non-abelian D-brane Effective Actions
• D=10 supersymmetric Yang-Mills theory at alpha'^4
• One loop scattering on D-branes
• Regular solutions to higher order curvature Einstein--Yang-Mills systems in higher dimensions
• Loop amplitudes in maximal supergravity with manifest supersymmetry
• D=3, N=8 conformal supergravity and the Dragon window
• Maximal supergravity in D=10: forms, Borcherds algebras and superspace cohomology
• Scattering on D3-branes
• D-Brane Boundary States in the Pure Spinor Superstring
• The deformed M2-brane
• General covariance of the non-abelian DBI-action: Checks and Balances
• Testing the fermionic terms in the non-abelian D-brane effective action through order ${\alpha }^{\prime }{}^3$
• Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories
• Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
• Higher-derivative gauge interactions of Bagger-Lambert-Gustavsson theory in N=1 superspace
• 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
• Towards complete string effective actions beyond leading order
• The geometry of pure spinor space
• 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
• Decoupling of unphysical states in the minimal pure spinor formalism I
• On Pure Spinor Superfield Formalism
• Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 boundary superspace
• Twistors and supertwistors for exceptional field theory
• Kappa-symmetric Derivative Corrections to D-brane Dynamics
• The action principle and the supersymmetrisation of Chern-Simons terms in eleven-dimensional supergravity
• Particle-like solutions to the Yang--Mills-dilaton system in d=4+1 dimensions
• Think Different: Applying the Old Macintosh Mantra to the Computability of the SUSY Auxiliary Field Problem
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Yang--Mills sphalerons in all even spacetime dimensions $d=2k$, $k>2$ : $k$=3,4
• Kappa-symmetric deformations of M5-brane dynamics
• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry
• Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D
• The Derived Pure Spinor Formalism as an Equivalence of Categories
• Higher Derivative BLG: Lagrangian and Supersymmetry Transformations
• Homotopy representations of extended holomorphic symmetry in holomorphic twists
• Gauge fields with vanishing scalar invariants