Space-like minimal surfaces in AdS x S

被引:12
|
作者
Dorn, Harald [1 ]
Drukker, Nadav [1 ]
Jorjadze, George [1 ,2 ]
Kalousios, Chrysostomos [1 ]
机构
[1] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[2] Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 04期
关键词
AdS-CFT Correspondence; Bosonic Strings; Integrable Field Theories;
D O I
10.1007/JHEP04(2010)004
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
We present a four parameter family of classical string solutions in AdS(3) x S-3, which end along a light-like tetragon at the boundary of AdS(3) and carry angular momentum along two cycles on the sphere. The string surfaces are space-like and their projections on AdS(3) and on S-3 have constant mean curvature. The construction is based on the Pohlmeyer reduction of the related sigma model. After embedding in AdS(5) x S-5, we calculate the regularized area and analyze conserved charges. Comments on possible relations to scattering amplitudes are presented. We also sketch time-like versions of our solutions.
引用
收藏
页数:29
相关论文
共 50 条
  • [1] Space-like minimal surfaces in AdS × S
    Harald Dorn
    Nadav Drukker
    George Jorjadze
    Chrysostomos Kalousios
    Journal of High Energy Physics, 2010
  • [2] Vacuum-type space-like string surfaces in AdS3 x S3
    Dorn, Harald
    Jorjadze, George
    Kalousios, Chrysostomos
    Megrelidze, Luka
    Wuttke, Sebastian
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (02)
  • [3] EXPLICIT SOLVING OF THE SYSTEM OF NATURAL PDE's OF MINIMAL SPACE-LIKE SURFACES IN MINKOWSKI SPACE-TIME
    Ganchev, Georgi
    Kanchev, Krasimir
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2017, 70 (06): : 761 - 768
  • [4] SPACE-LIKE ISOTHERMIC SURFACES AND GRASSMANNIAN SYSTEMS
    Dussan, Martha P.
    TSUKUBA JOURNAL OF MATHEMATICS, 2006, 30 (01) : 81 - 102
  • [5] RELATION BETWEEN THE MAXIMAL SPACE-LIKE SURFACES IN R24 AND THE MAXIMAL SPACE-LIKE SURFACES IN R13
    Ganchev, Georgi
    Kanchev, Krasimir
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2019, 72 (06): : 711 - 719
  • [6] Problem of functional extension and space-like surfaces in Minkowski space
    Grigoryeva, EG
    Klyachin, AA
    Miklyukov, VM
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (03): : 719 - 752
  • [7] THE SPACE-LIKE SURFACES WITH VANISHING CONFORMAL FORM IN THE CONFORMAL SPACE
    Nie, Changxiong
    CONFORMAL GEOMETRY AND DYNAMICS, 2012, 16 : 204 - 208
  • [8] Minimal surfaces in AdS space and integrable systems
    Burrington, Benjamin A.
    Gao, Peng
    JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04):
  • [9] Minimal surfaces in AdS space and integrable systems
    Benjamin A. Burrington
    Peng Gao
    Journal of High Energy Physics, 2010
  • [10] Space-like surfaces with free boundary in the Lorentz-Minkowski space
    Lopez, R.
    Pyo, J.
    CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (03)