Supersymmetry and Higher Derivative Terms in the Effective Action of Yang-Mills Theories

Abstract

Higher derivative terms in the effective action of certain Yang-Mills theories can be severely constrained by supersymmetry. We show that requiring sixteen supersymmetries in quantum mechanical gauge theory determines the $v^6$ term in the effective action. Even the numerical coefficient of the $v^6$ term is fixed in terms of lower derivative terms in the effective action.

7 pages, harvmac; references added

Cited by in corpus (43)

• U-duality and M-Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Supersymmetry Constraints on Type IIB Supergravity
• Deformations of Superconformal Theories
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Supersymmetry and $T\overline{T}$ Deformations
• Effective Dynamics of the Matrix Big Bang
• Self-Dual Effective Action of N=4 Super-Yang Mills
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• Approximations for strongly-coupled supersymmetric quantum mechanics
• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• Constraining Higher Derivative Supergravity with Scattering Amplitudes
• The Conformal Anomaly of M5-Branes
• Absorption of dilaton partial waves by D3-branes
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Eisenstein Series in String Theory
• Toward the End of Time
• Free energy of N=4 super Yang-Mills in Higgs phase and non-extremal D3-brane interactions
• Higher order contributions to the effective action of N=4 super Yang-Mills
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• Three Graviton Scattering in M-Theory
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Interpolating the Coulomb Phase of Little String Theory
• Scaling similarities and quasinormal modes of D0 black hole solutions
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• On the supersymmetric effective action of Matrix theory
• On the Supersymmetry and Gauge Structure of Matrix Theory
• N=4 Super Yang-Mills Low-Energy Effective Action at Three and Four Loops
• On the Supergravity Gauge theory Correspondence and the Matrix Model
• Non-commutativity and Supersymmetry
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Renormalization of Higher Derivative Operators in the Matrix Model
• Conformal Symmetry and A New Gauge in the Matrix Model
• Structure in Supersymmetric Yang-Mills Theory
• Power of Supersymmetry in D-particle Dynamics
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• A Theorem on the Power of Supersymmetry in Matrix Theory
• Quantum Gravity Corrections for Schwarzschild Black Holes
• Nilpotent Marsh and SUSY QM
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background
• The SU(N) Matrix Model at Two Loops
• Eight Fermion Terms in the Effective Action of the ABJM Model
• On Current-Squared Flows and ModMax Theories