Existence of the D0-D4 bound state: A detailed proof

Annales Henri Poincare

Volumn 6, Issue 2, 2005, Pages 247-267

  Erdös, Laszlo ^a   Hasler, David ^b   Solovej, Jan Philip ^c  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18244410392     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-005-0205-0     Document Type: Article

References (17)

1. M. Porrati and A. Rozenberg, Bound States at Threshold in Supersymmetric Quantum Mechanics, Nucl. Phys. B515, 184-202 (1998), hep-th/9708119.
2. B. de Wit, J. Hoppe, and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B305, 545-581, (1988).
3. E. Witten, Bound States of Strings and p-Branes, Nucl. Phys. B460, 335-350 (1996), hep-th/9510135.
4. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, M Theory as a Matrix Model: a Conjecture, Phys. Rev. D55, 5112-5128 (1997), hep-th/9610043.
5. S. Sethi and M. Stern, A Comment on the Spectrum of H-Monopoles, Phys. Lett. B398, 47-51 (1997), hep-th/9607145.
6. V.G. Kac and A.V. Smilga, Normalized Vacuum States in N = 4 Supersymmetric Yang-Mills Quantum Mechanics with any Gauge Group, Nucl. Phys. B571 , 515-554 (2000), hep-th/9908096.
7. E. Witten, Small Instantons in String Theory, Nucl. Phys. B460, 541 (1996), hep-th/9511030.
8. M. Berkooz and M.R. Douglas, Five-branes in m(atrix) theory, Phys. Lett. B395, 196-202 (1997), hep-th/9610236.
9. M.R. Douglas, D. Kabat, P. Pouliot, and S.H. Shenker, D-branes and short distances in string theory, Nucl. Phys. B485, 85-127 (1997), hep-th/9608024.
10. J. Polchinski, String Theory, Volume II. Cambridge University Press, 1998.
11. S. Sethi and M. Stern, Invariance Theorems for Supersymmetric Yang-Mills Theories, Adv. Theor. Math. Phys. 4, 487-501 (2000), hep-th/0001189.
12. S. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrödinger Operators, Princeton University Press, 1982.
13. J. Fröhlich, G.M. Graf, D. Hasler, J. Hoppe, and S.-T. Yau, Asymptotic form of zero energy wave functions in supersymmetric matrix models, Nucl. Phys. B567, 213-248 (2000), hep-th/9904182.
14. S. Sethi and M. Stern, The Structure of the D0-D4 Bound State, Nucl. Phys. B578, 163-198 (2000), hep-th/0002131.
15. P. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, CRC Press, 2nd edition, 1994.
16. H.L Cycon, R.G. Froese, W. Kirsch, and B. Simon, Schrödinger Operators, Springer-Verlag, 1986.
17. M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV Analysis of Operators, Academic Press, New York, 1978.