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. 6/981 paban@sns.ias.edu

Two-graviton interaction in pp-wave background in Matrix theory and Supergravity

“…Furthermore, it implies the existence of a nonrenormalization theorem protecting the terms studied against higher loop corrections on the Matrix Theory side. Such nonrenormalization theorems have been studied in flat space [5,6,7,8,9,10,11]. In these papers, the SO(9) symmetry in the transverse space appears to be a crucial ingredient.…”

Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N

“…The π dependence in this assumption will be explained later. Then we substitute an ansatz E = CS x entropy and T = ∂E/∂S entropy = xCS x−1 entropy into this equation, and we can solve for x and C as D−4 , 24 Li and Martinec's derivation [28] and ours are slightly different although the results are same. They used three assumptions: (I) the saturation of the uncertainty relation p bd X ∼ m bd (∂τ X)X ∼ 1, (II) the number of bound states M in eq.…”

Recursion relations from space-time supersymmetry

“…Let us recall the U(1) charge assignment to the various fields and parameters of type IIB supergravity given by [20,21], Supersymmetry naturally constrains the coupling containing the most fermions which determines f (12,−12) as shown in [8] extending the arguments of [22][23][24]. The f (12,−12) coefficient function for λ 16 is proportional to This line of reasoning leads to constraints so long as you have moduli-dependent fermionic couplings which do not vanish when you apply supersymmetry to the moduli-dependent coefficients.…”

“…Take the interactions from (2.20), 23) and consider their variations under the linearized supersymmetry transformation,…”