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The structure of the D0-D4 bound state

Publication ,  Journal Article
Sethi, S; Stern, M
Published in: Nuclear Physics B
July 3, 2000

We derive a set of equations for the wavefunction describing the marginal bound state of a single D0-brane with a single D4-brane. These are equations determining the vacuum of an N=8 Abelian gauge theory with a charged hypermultiplet. We then solve these equations for the most general possible zero-energy solution using a Taylor series. We find that there are an infinite number of such solutions of which only one must be normalizable. We explore the structure of a normalizable solution under the assumption of an asymptotic expansion. Even the leading terms in the asymptotic series, which should reflect the supergravity solution, are unusual. Through the Spin(5) flavor symmetry, the modes which are massive at long distance actually influence the leading behavior. Lastly, we show that the vacuum equations can quite remarkably be reduced to a single equation involving one unknown function. The resulting equation has a surprisingly simple and suggestive form. © 2000 Elsevier Science B.V.

Duke Scholars

Published In

Nuclear Physics B

DOI

ISSN

0550-3213

Publication Date

July 3, 2000

Volume

578

Issue

1-2

Start / End Page

163 / 198

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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Sethi, S., & Stern, M. (2000). The structure of the D0-D4 bound state. Nuclear Physics B, 578(1–2), 163–198. https://doi.org/10.1016/S0550-3213(00)00181-4
Sethi, S., and M. Stern. “The structure of the D0-D4 bound state.” Nuclear Physics B 578, no. 1–2 (July 3, 2000): 163–98. https://doi.org/10.1016/S0550-3213(00)00181-4.
Sethi S, Stern M. The structure of the D0-D4 bound state. Nuclear Physics B. 2000 Jul 3;578(1–2):163–98.
Sethi, S., and M. Stern. “The structure of the D0-D4 bound state.” Nuclear Physics B, vol. 578, no. 1–2, July 2000, pp. 163–98. Scopus, doi:10.1016/S0550-3213(00)00181-4.
Sethi S, Stern M. The structure of the D0-D4 bound state. Nuclear Physics B. 2000 Jul 3;578(1–2):163–198.
Journal cover image

Published In

Nuclear Physics B

DOI

ISSN

0550-3213

Publication Date

July 3, 2000

Volume

578

Issue

1-2

Start / End Page

163 / 198

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