Constant connections, quantum holonomies and the Goldman bracket

被引：0
|
作者：
Nelson, J. E.
Picken, R. F.
机构：
[1] Univ Turin, Dipartimento Fis Teor, I-10125 Turin, Italy
[2] Sez Torino, Ist Nazl Fis Nucl, I-10125 Turin, Italy
[3] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
[4] CAMGSD, P-1049001 Lisbon, Portugal
来源：
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2005年 / 9卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
In the context of 2 + 1-dimensional quantum gravity with negative cosmological constant and topology R x T-2, constant matrix-valued connections generate a q-deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Goldman bracket is obtained.
引用
收藏
页码：407 / 433
页数：27
相关论文
共 50 条
  • [41] QUANTUM CONNECTIONS
    Monroe, Christopher R.
    Schoelkopf, Robert J.
    Lukin, Mikhail D.
    [J]. SCIENTIFIC AMERICAN, 2016, 314 (05) : 50 - 57
  • [42] Quantum connections
    Hartnoll, Sean
    Sachdev, Subir
    Takayanagi, Tadashi
    Chen, Xie
    Silverstein, Eva
    Sonner, Julian
    [J]. NATURE REVIEWS PHYSICS, 2021, 3 (06) : 391 - 393
  • [43] Quantum connections
    Sean Hartnoll
    Subir Sachdev
    Tadashi Takayanagi
    Xie Chen
    Eva Silverstein
    Julian Sonner
    [J]. Nature Reviews Physics, 2021, 3 : 391 - 393
  • [44] Quantum Connections
    Van Meter, Rodney
    [J]. 2018 IEEE PHOTONICS SOCIETY SUMMER TOPICAL MEETING SERIES (SUM), 2018, : 7 - 8
  • [45] Quantum computation in noiseless subsystems with fast non-Abelian holonomies
    Zhang, J.
    Kwek, L. -C.
    Sjoqvist, Erik
    Tong, D. M.
    Zanardi, P.
    [J]. PHYSICAL REVIEW A, 2014, 89 (04):
  • [46] Double-bracket quantum algorithms for diagonalization
    Gluza, Marek
    [J]. QUANTUM, 2024, 8 : 1 - 41
  • [47] Angle bracket connections for CLT structures: Experimental characterization and numerical modelling
    Pozza, Luca
    Saetta, Anna
    Savoia, Marco
    Talledo, Diego
    [J]. CONSTRUCTION AND BUILDING MATERIALS, 2018, 191 : 95 - 113
  • [48] Double-bracket quantum algorithms for diagonalization
    Gluza, Marek
    [J]. QUANTUM, 2024, 8
  • [49] The Kauffman bracket and the Jones polynomial in quantum gravity
    Griego, J
    [J]. NUCLEAR PHYSICS B, 1996, 467 (1-2) : 332 - 352
  • [50] Non-Abelian holonomies, charge pumping, and quantum computation with Josephson junctions
    Faoro, L
    Siewert, J
    Fazio, R
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (02) : 1 - 028301
12345