A Dirac Type Operator on the Non-Commutative Disk

被引：5
|
作者：
Carey, Alan L. [1 ]
Klimek, Slawomir [2 ]
Wojciechowski, Krzysztof P. [2 ]
机构：
[1] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
[2] Indiana Univ Purdue Univ, Dept Math, Indianapolis, IN 46202 USA
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2010年 / 93卷 / 02期
关键词：
quantum spaces; noncommutative geometry; Dirac operators; APS boundary conditions; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY;
D O I：
10.1007/s11005-010-0391-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.
引用
收藏
页码：107 / 125
页数：19
相关论文
共 50 条
  • [21] Index theory and non-commutative geometry on foliated manifolds
    Kordyukov, Yu. A.
    RUSSIAN MATHEMATICAL SURVEYS, 2009, 64 (02) : 273 - 391
  • [22] NON-COMMUTATIVE CONNECTIONS OF THE SECOND KIND
    Brzezinski, Tomasz
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (05) : 557 - 573
  • [23] A perspective on non-commutative quantum gravity
    Martins, Rachel A. D.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2015, 12 (08)
  • [24] The shear viscosity of the non-commutative plasma
    Landsteiner, Karl
    Mas, Javier
    JOURNAL OF HIGH ENERGY PHYSICS, 2007, (07):
  • [25] NON-COMMUTATIVE KERR BLACK HOLE
    Di Grezia, Elisabetta
    Esposito, Giampiero
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (03) : 657 - 668
  • [26] Non-commutative 't Hooft instantons
    Lechtenfeld, O
    Popov, AD
    JOURNAL OF HIGH ENERGY PHYSICS, 2002, (03):
  • [27] A review of non-commutative gauge theories
    N. G. Deshpande
    Pramana, 2003, 60 : 189 - 198
  • [28] Non-commutative principal chiral models
    Profumo, S
    JOURNAL OF HIGH ENERGY PHYSICS, 2002, (10):
  • [29] Wormhole inspired by non-commutative geometry
    Rahaman, Farook
    Karmakar, Sreya
    Karar, Indrani
    Ray, Saibal
    PHYSICS LETTERS B, 2015, 746 : 73 - 78
  • [30] Quantum logic and Non-Commutative Geometry
    Marchetti, P. A.
    Rubele, R.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2007, 46 (01) : 51 - 64
12345