Little Theories in Six and Seven Dimensions

Abstract

We discuss theories with 16 and 8 supercharges in 6 and 7 dimensions. These theories are defined as world-volume theories of 5- and 6-branes of type II and M theories, in the limit in which bulk modes decouple. We analyze in detail the spectrum of BPS extended objects of these theories, and show that the 6 dimensional ones can be interpreted as little (non-critical) string theories. The little 5-branes of the 6 dimensional theories with 16 supercharges are used to find new string theories with 8 supercharges, which have additional group structure. We describe the web of dualities relating all these theories. We show that the theories with 16 supercharges can be used for a Matrix description of M-theory on T^6 in the general case, and that they also reproduce Matrix theory on T^5 and T^4 in some particular limit.

23 pages, LaTeX, no figures; references added

References in corpus (14)

• Solutions Of Four-Dimensional Field Theories Via M Theory
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Another Conjecture about M(atrix) Theory
• Matrix Description of M-theory on $T^4$ and $T^5$
• Intersection Rules for p-Branes
• Intersections involving waves and monopoles in eleven dimensions
• Matrix Theory and U-Duality in Seven Dimensions
• Torons and D-Brane Bound States
• Multiple Intersections of D-branes and M-branes
• Matrix Description of M-theory on $T^6$
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• New String Theories in Six Dimensions via Branes at Orbifold Singularities
• Comments on Neveu-Schwarz Five-Branes
• On The M(atrix)-Model For M-Theory On $T^6$

Cited by in corpus (4)

• U-duality and M-Theory
• The Bekenstein Formula and String Theory (N-brane Theory)
• M-brane intersections from worldvolume superalgebras
• Entropy of bound states in the matrix description of M5-branes