## Asymptotic search for ground states of SU(2) matrix theory.(English)Zbl 0937.81057

The time-honored $$N=16$$ supersymmetric gauge quantum mechanics has recently been identified as describing the dynamics of interacting $$D0$$-branes which reviewed the interest in this model. The authors introduce a complete set of gauge-invariant bosonic and fermionic variables and propose a generalized Born-Oppenheimer approximation in their search for normalizable asymptotic solutions of zero energy, though the method provides only candidates for possible ground states since their global stability has not yet been tested. The candidates include one particular state which is a singlet under the group Spin(9) which lends support to a conjecture by E. Witten and others.

### MSC:

 81T60 Supersymmetric field theories in quantum mechanics 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 46N50 Applications of functional analysis in quantum physics 83E30 String and superstring theories in gravitational theory 81T13 Yang-Mills and other gauge theories in quantum field theory
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### References:

 [1] DOI: 10.1016/0550-3213(85)90500-0 [2] DOI: 10.1016/0003-4916(85)90008-9 [3] DOI: 10.1063/1.526539 · Zbl 0604.22014 [4] DOI: 10.1016/0550-3213(88)90116-2 · Zbl 1156.81457 [5] DOI: 10.1016/0550-3213(89)90214-9 [6] DOI: 10.1016/0550-3213(95)00610-9 · Zbl 1003.81527 [7] DOI: 10.1142/S0217751X96002492 · Zbl 1044.81690 [8] DOI: 10.1103/PhysRevLett.77.1004 · Zbl 0944.81525 [9] DOI: 10.1016/S0550-3213(96)00619-0 · Zbl 0925.81232 [10] Banks T., Phys. Rev. 55 pp 5112– (1997) [11] Itoyama H., Phys. Rev. 33 pp 3060– (1986) [12] DOI: 10.1016/0550-3213(91)90176-X [13] Born M., Phys. 84 pp 457– (1927) [14] Dalgarno A., Proc. R. Soc. 233 pp 70– (1956) · Zbl 0065.44905 [15] DOI: 10.1016/0003-4916(59)90032-6 · Zbl 0084.44503
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