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Constraints from extended supersymmetry in quantum mechanics

Publication ,  Journal Article
Paban, S; Sethi, S; Stern, M
Published in: Nuclear Physics B
November 23, 1998

We consider quantum mechanical gauge theories with sixteen supersymmetries. The Hamiltonians or Lagrangians characterizing these theories can contain higher derivative terms. In the operator approach, we show that the free theory is essentially the unique abelian theory with up to four derivatives in the following sense: any small deformation of the free theory, which preserves the supersymmetries, can be gauged away by a unitary conjugation. We also present a method for deriving constraints on terms appearing in an effective Lagrangian. We apply this method to the effective Lagrangian describing the dynamics of two well-separated clusters of D0-branes. As a result, we prove a non-renormalization theorem for the υ4 interaction. © 1998 Elsevier Science B.V.

Duke Scholars

Published In

Nuclear Physics B

DOI

ISSN

0550-3213

Publication Date

November 23, 1998

Volume

534

Issue

1-2

Start / End Page

137 / 154

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics
 

Citation

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Paban, S., Sethi, S., & Stern, M. (1998). Constraints from extended supersymmetry in quantum mechanics. Nuclear Physics B, 534(1–2), 137–154. https://doi.org/10.1016/S0550-3213(98)00518-5
Paban, S., S. Sethi, and M. Stern. “Constraints from extended supersymmetry in quantum mechanics.” Nuclear Physics B 534, no. 1–2 (November 23, 1998): 137–54. https://doi.org/10.1016/S0550-3213(98)00518-5.
Paban S, Sethi S, Stern M. Constraints from extended supersymmetry in quantum mechanics. Nuclear Physics B. 1998 Nov 23;534(1–2):137–54.
Paban, S., et al. “Constraints from extended supersymmetry in quantum mechanics.” Nuclear Physics B, vol. 534, no. 1–2, Nov. 1998, pp. 137–54. Scopus, doi:10.1016/S0550-3213(98)00518-5.
Paban S, Sethi S, Stern M. Constraints from extended supersymmetry in quantum mechanics. Nuclear Physics B. 1998 Nov 23;534(1–2):137–154.
Journal cover image

Published In

Nuclear Physics B

DOI

ISSN

0550-3213

Publication Date

November 23, 1998

Volume

534

Issue

1-2

Start / End Page

137 / 154

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0105 Mathematical Physics