Math @ Duke

Publications [#287396] of Mark A. Stern
Papers Published
 Sethi, S; Stern, M, The structure of the D0–D4 bound state,
Nuclear Physics B, vol. 578 no. 12
(July, 2000),
pp. 163198 [hepth/0002131], [doi]
(last updated on 2018/09/25)
Abstract: We derive a set of equations for the wavefunction describing the marginal bound state of a single D0brane with a single D4brane. 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 zeroenergy 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.


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