M(atrix) Theory on T5/Z2 Orbifold and Five-Branes

Details M(atrix) Theory on T5/Z2 Orbifold and Five-Branes M(atrix) Theory on T5/Z2 Orbifold and Five-Branes

1997-05-20

arxiv.org/abs/hep-th/9705132v2

Nucl.Phys. B534 (1998) 155-182

Physics

High Energy Physics

High Energy Physics - Theory

v1. 24 pages, latex, no figure; v2. typos and references corrected

Scientific paper

10.1016/S0550-3213(98)00573-2

We study M(atrix) theory description of M theory compactified on T5/Z2 orbifold. In the large volume limit we show that M theory dynamics is described by N=8 supersymmetric USp(2N) M(atrix) quantum mechanics. Via zero-brane parton scattering, we show that each orbifold fixed point carries anomalous G-flux $\oint [G/2 \pi]= - 1/2$. To cancel the anomalous G-flux, we introduce twisted sector consisting of sixteen five-branes represented by fundamental representation hypermultiplets. In the small volume limit we show that M theory dynamics is described by by (5+1)-dimensional (8,0) supersymmetric USp(2N) chiral gauge theory. We point out that both perturbative and global gauge anomalies are cancelled by the sixteen fundamental representation hyper- multiplets in the twisted sector. We show that M(atrix) theory is capable of turning on spacetime background with the required sixteen five-branes out of zero-brane partons as bound-states. We determine six-dimensional spacetime spectrum from the M(atrix) theory for both untwisted and twisted sectors and find a complete agreement with the spectrum of (2,0) supergravity. We discuss M(atrix) theory description of compactification moduli space, symmetry enhance- ment thereof as well as further toroidal compactifications.

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