Supersymmetric completion of supersymmetric quantum mechanics

Abstract

Via supersymmetry argument, we determine the effective action of the SU(2) supersymmetric Yang-Mills quantum mechanics up to two constants, which results from the full supersymmetric completion of the F 4 term. The effective action, consisting of zero, two, four, six and eight fermion terms, agrees with the known perturbative one-loop calculations from the type II string theory and the matrix theory. Our derivation thus demonstrates its non-renormalization properties, namely, the one-loop exactness of the aforementioned action and the absence of the non-perturbative corrections. We briefly discuss generalizations to other branes and the comparison to the DLCQ supergravity analysis. In particular, our results show that the stringent constraints from the supersymmetry are responsible for the agreement between the matrix theory and supergravity with sixteen supercharges. * hyun@kias.re.kr † ykiem@kias.re.kr ‡ hshin@kias.re.kr

Power of supersymmetry in D-particle dynamics

“…As we have already mentioned the essential shortcomings of the eikonal-type approximation employed in existing literature in the introduction, below we wish to make a little more explicit comparison with the work by Paban et al [22] and the one by Hyun et al [25], which are most closely related to the present study.…”

“…(i) As the authors of [25] employed the eikonal approximation, they unduly neglected the higher derivative terms that should be kept for consistent analysis.…”

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.…”

Branes from matrix theory in pp-wave background

“…One can read off the possible BPS solutions from the supersymmetry transformation rules (6) and (8). The only possible static solution one can get is the fuzzy sphere in the x idirections [7] […”