Genus-one correction to multicut matrix model solutions

被引:24
作者
Chekhov, LO [1 ]
机构
[1] RAS, VA Steklov Math Inst, Moscow, Russia
基金
俄罗斯基础研究基金会;
关键词
loop equation; genus expansion; hyperelliptic geometry;
D O I
10.1023/B:TAMP.0000049759.01361.79
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate genus-one corrections to the Hermitian one-matrix model solution with an arbitrary number of cuts based on the loop equation, confirming the answer previously obtained from algebro-geometric considerations and generalizing it to the case of arbitrary potentials.
引用
收藏
页码:1640 / 1653
页数:14
相关论文
共 31 条
[1]   Higher genus correlators for the hermitian matrix model with multiple cuts [J].
Akemann, G .
NUCLEAR PHYSICS B, 1996, 482 (1-2) :403-430
[2]   New universal spectral correlators [J].
Akemann, G ;
Ambjorn, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22) :L555-L560
[3]  
AKEMANN G, 1996, HEPTH9606004
[4]   MATRIX MODEL-CALCULATIONS BEYOND THE SPHERICAL LIMIT [J].
AMBJORN, J ;
CHEKHOV, L ;
KRISTJANSEN, CF ;
MAKEENKO, Y .
NUCLEAR PHYSICS B, 1993, 404 (1-2) :127-172
[5]  
AMBJORN J, 1996, CONDMAT9606129
[6]  
[Anonymous], HEPTH9907060
[7]   A large N duality via a geometric transition [J].
Cachazo, F ;
Intriligator, K ;
Vafa, C .
NUCLEAR PHYSICS B, 2001, 603 (1-2) :3-41
[8]  
CACHAZO F, 2001, HEPTH0103067
[9]  
CACHAZO F, 2002, HEPTH0206047
[10]   DV and WDVV [J].
Chekhov, L ;
Marshakov, A ;
Mironov, A ;
Vasiliev, D .
PHYSICS LETTERS B, 2003, 562 (3-4) :323-338