M-theory from the superpoint

被引:13
作者
Huerta, John [1 ]
Schreiber, Urs [2 ]
机构
[1] Inst Super Tecn, CAMGSD, Ave Ravisco Pais, P-1049001 Lisbon, Portugal
[2] Czech Acad Sci, Math Inst, Zitna 25, Prague 11567 1, Czech Republic
关键词
M-theory; Rational homotopy theory; Cohomology of super Lie algebras; 81T30 (String and superstring theories; other extended objects); 55P62 (Rational homotopy theory); 17B56 (Cohomology of Lie (super)algebras); DIVISION-ALGEBRAS; SUPERMEMBRANES; SUPERGRAVITY; GEOMETRY;
D O I
10.1007/s11005-018-1110-z
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The brane scan classifies consistent Green-Schwarz strings and membranes in terms of the invariant cocycles on super Minkowski spacetimes. The brane bouquet generalizes this by consecutively forming the invariant higher central extensions induced by these cocycles, which yields the complete fundamental brane content of string/M-theory, including the D-branes and the M5-brane, as well as the various duality relations between these. This raises the question whether the super Minkowski spacetimes themselves arise as maximal invariant central extensions. Here, we prove that they do. Starting from the simplest possible super Minkowski spacetime, the superpoint, which has no Lorentz structure and no spinorial structure, we give a systematic process of consecutive maximal invariant central extensions and show that it discovers the super Minkowski spacetimes that contain superstrings, culminating in the 10- and 11-dimensional super Minkowski spacetimes of string/M-theory and leading directly to the brane bouquet.
引用
收藏
页码:2695 / 2727
页数:33
相关论文
共 54 条
[1]   SUPER P-BRANES [J].
ACHUCARRO, A ;
EVANS, JM ;
TOWNSEND, PK ;
WILTSHIRE, DL .
PHYSICS LETTERS B, 1987, 198 (04) :441-446
[2]  
[Anonymous], 2014, COMMUNICATION
[3]  
[Anonymous], 1998, NOT AM MATH SOC
[4]  
Baez J., 2004, THEOR APPL CATEG, V12, P492
[5]  
Baez JC, 2002, B AM MATH SOC, V39, P145
[6]  
Baez JC, 2011, ADV THEOR MATH PHYS, V15, P1373
[7]   Covariant action for the super-five-brane of M theory [J].
Bandos, I ;
Lechner, K ;
Nurmagambetov, A ;
Pasti, P ;
Sorokin, D ;
Tonin, M .
PHYSICAL REVIEW LETTERS, 1997, 78 (23) :4332-4334
[8]   SUPERMEMBRANES AND 11-DIMENSIONAL SUPERGRAVITY [J].
BERGSHOEFF, E ;
SEZGIN, E ;
TOWNSEND, PK .
PHYSICS LETTERS B, 1987, 189 (1-2) :75-78
[9]   SUPERSINGLETONS [J].
BLENCOWE, MP ;
DUFF, MJ .
PHYSICS LETTERS B, 1988, 203 (03) :229-236
[10]   Supersymmetry algebra cohomology. IV. Primitive elements in all dimensions from D=4 to D=11 [J].
Brandt, Friedemann .
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (05)