Why is the matrix model correct?

We consider the compactification of M theory on a light-like circle as a limit of a compactification on a small spatial circle boosted by a large amount. Assuming that the compactification on a small spatial circle is weakly coupled type IIA theory, we derive Susskind's conjecture that M theory compactified on a light-like circle is given by the finite

N

version of the Matrix model of Banks, Fischler, Shenker and Susskind. This point of view provides a uniform derivation of the Matrix model for M theory compactified on a transverse torus

T^p

for

p=0,...,5

and clarifies the difficulties for larger values of

p

.

field theory: M-theory
compactification
matrix model
duality: transformation

References(19)

Figures(0)

M theory as a matrix model: A conjecture

Tom Banks
(
- Rutgers U., Piscataway
)
,
W. Fischler
(
- Texas U.
)
,
S.H. Shenker
(
- Rutgers U., Piscataway
)
,
Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- ,
- Phys.Rev.D 55 (1997) 5112-5128,
•
e-Print:
- hep-th/9610043
•
DOI:
- 10.1201/9781482268737-37

D-brane field theory on compact spaces

Washington Taylor
(
- Princeton U.
)

- Phys.Lett.B 394 (1997) 283-287
•
e-Print:
- hep-th/9611042
•
DOI:
- 10.1016/S0370-2693(97)00033-6

Matrix theory and U duality in seven-dimensions

Moshe Rozali
(
- Texas U.
)

- Phys.Lett.B 400 (1997) 260-264
•
e-Print:
- hep-th/9702136
•
DOI:
- 10.1016/S0370-2693(97)00361-4

Matrix description of M theory on T4 and T5

Micha Berkooz
(
- Rutgers U., Piscataway
)
,
Moshe Rozali
(
- Texas U.
)
,
Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 408 (1997) 105-110
•
e-Print:
- hep-th/9704089
•
DOI:
- 10.1016/S0370-2693(97)00800-9

New theories in six-dimensions and matrix description of M theory on T5 and T5 / Z(2)

Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 408 (1997) 98-104
•
e-Print:
- hep-th/9705221
•
DOI:
- 10.1016/S0370-2693(97)00805-8

- Nucl.Phys.B 460 (1996) 335-350,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 273-286
•
e-Print:
- hep-th/9510135
•
DOI:
- 10.1016/0550-3213(95)00610-9