外加B-場下於三維球面上之土坡弦及銳牙弦

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姓名

蔡淵(Yuan Tsai) 查詢紙本館藏

畢業系所

物理學系

論文名稱

外加B-場下於三維球面上之土坡弦及銳牙弦
(Giant magnons and spiky strings on S3 with B-field)

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摘要(中)

我們研究了弦旋轉在S3空間中，給予一個外加B場下的解。這種解有兩種組態：其一是銳牙形狀的弦，另外則是巨型土坡狀的弦。我們計算了相對應的能量E、以及角動量J1、J2，同時推導出分佈關係式。特別的是在解得巨型土坡狀弦的分佈關係式相似於解自旋陣列的躍遷分佈。我們猜想在給予一個外加B 場下，這種全像對應到保形場論
的關係式仍舊成立。

摘要(英)

We study the solutions of a rotating string winding on S3 with a background NS-NS B-field. There are two types of configurations: one is spiky string and the other is giant magnon. We compute the associated energy E and two angular momenta J1, J2, and derive their dispersion relation. In particular, for giant magnon solution, the dispersion relation is similar to the result for the excitation of a spin chain. We conjecture that there should exist B-deformed conformal field theory holographically dual to this background.

關鍵字(中)

★ 巨型土坡弦
★ 銳牙弦
★ B-場
★ 弦
★ 自旋陣列

關鍵字(英)

★ spin-chain
★ string
★ B-field
★ magnons
★ spiky

論文目次

1 Overview 1
2 Introduction 5
3 String on S3 with B-field 9
3.1 Spiky string on S3 with B-field . . . . . . . . . . . . . . . . . . . . . 11
3.2 Giant magnon on S3 with B-field . . . . . . . . . . . . . . . . . . . . 14
4 String on S1 × S2 with B-field 17
4.1 Spiky string on S1 × S2 with B-field . . . . . . . . . . . . . . . . . . 20
4.2 Giant magnon on S1 × S2 with B-field . . . . . . . . . . . . . . . . . 22
5 Dual spin chain interpretation 25
6 Relation to sine-Gordon model 28
6.1 Spiky string to sine-Gordon model . . . . . . . . . . . . . . . . . . . . 29
6.2 Giant magnon to sine-Gordon model . . . . . . . . . . . . . . . . . . 30
7 Conclusion and Discussion 32

參考文獻

[1] G. ’t Hooft, “A Planar Diagram Theory for Strong Interactions,” Nucl. Phys. B
72, 461 (1974).
[2] A.M. Polyakov, “String theory and quark confinement,” Nucl. Phys. Proc. Suppl.
68, 1 (1998) [arXiv:hep-th/9711002].
[3] J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,”
Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113
(1999)] [arXiv:hep-th/9711200].
[4] E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2,
253 (1998) [arXiv:hep-th/9802150].
[5] S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators
from non-critical string theory,” Phys. Lett. B 428, 105 (1998) [arXiv:hepth/
9802109].
[6] O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field
theories, string theory and gravity,” Phys. Rept. 323, 183 (2000) [arXiv:hepth/
9905111].
[7] D. E. Berenstein, J. M. Maldacena and H. S. Nastase, “Strings in flat space and
pp waves from N = 4 super Yang Mills,” JHEP 0204, 013 (2002) [arXiv:hepth/
0202021].
[8] S. Frolov and A. A. Tseytlin, “Rotating string solutions: AdS/CFT duality
in non-supersymmetric sectors,” Phys. Lett. B 570, 96 (2003) [arXiv:hepth/
0306143].
[9] M. Kruczenski, “Spin chains and string theory,” Phys. Rev. Lett. 93, 161602
(2004) [arXiv:hep-th/0311203].
[10] R. Hernandez and E. Lopez, “The SU(3) spin chain sigma model and string
theory,” JHEP 0404, 052 (2004) [arXiv:hep-th/0403139].
[11] S. Bellucci, P. Y. Casteill, J. F. Morales and C. Sochichiu, “SL(2) spin chain and
spinning strings on AdS(5) x S**5,” Nucl. Phys. B 707, 303 (2005) [arXiv:hepth/
0409086].
[12] O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1)
global symmetry and their gravity duals,” JHEP 0505, 033 (2005) [arXiv:hepth/
0502086].
[13] S. A. Frolov, R. Roiban and A. A. Tseytlin, “Gauge - string duality for superconformal
deformations of N = 4 super Yang-Mills theory,” JHEP 0507, 045
(2005) [arXiv:hep-th/0503192].
[14] W. H. Huang, “Spin chain with magnetic field and spinning string with B field,”
Phys. Rev. D 74, 027901 (2006) [arXiv:hep-th/0605242].
[15] W. Y. Wen, “Spin chain from marginally deformed AdS(3) x S**3,” Phys. Rev.
D 75, 067901 (2007) [arXiv:hep-th/0610147].
[16] W. Y. Wen, “2D Heisenberg model from rotating membrane,” Nucl. Phys. B
791, 164 (2008) [arXiv:0705.2634 [hep-th]].
[17] N. Beisert, “The su(2—2) dynamic S-matrix,” Adv. Theor. Math. Phys. 12, 945
(2008) [arXiv:hep-th/0511082].
[18] D. M. Hofman and J. M. Maldacena, “Giant magnons,” J. Phys. A 39, 13095
(2006) [arXiv:hep-th/0604135].
[19] R. Ishizeki and M. Kruczenski, “Single spike solutions for strings on S2 and S3,”
Phys. Rev. D 76, 126006 (2007) [arXiv:0705.2429 [hep-th]].
[20] H. Y. Chen, N. Dorey and K. Okamura, “Dyonic giant magnons,” JHEP 0609,
024 (2006) [arXiv:hep-th/0605155].
[21] G. Arutyunov, S. Frolov and M. Zamaklar, “Finite-size effects from giant
magnons,” arXiv:hep-th/0606126.
[22] J. A. Minahan, A. Tirziu and A. A. Tseytlin, “Infinite spin limit of semiclassical
string states,” JHEP 0608, 049 (2006) [arXiv:hep-th/0606145].
[23] C. S. Chu, G. Georgiou and V. V. Khoze, “Magnons, classical strings and betadeformations,”
JHEP 0611, 093 (2006) [arXiv:hep-th/0606220].
[24] M. Spradlin and A. Volovich, “Dressing the giant magnon,” JHEP 0610, 012
(2006) [arXiv:hep-th/0607009].
[25] C. Kalousios, M. Spradlin and A. Volovich, “Dressing the giant magnon. II,”
JHEP 0703, 020 (2007) [arXiv:hep-th/0611033].
[26] N. P. Bobev and R. C. Rashkov, “Multispin giant magnons,” Phys. Rev. D 74,
046011 (2006) [arXiv:hep-th/0607018].
[27] W. H. Huang, “Giant magnons under NS-NS and Melvin fields,” JHEP 0612,
040 (2006) [arXiv:hep-th/0607161].
[28] P. Bozhilov and R. C. Rashkov, “Magnon-like dispersion relation fromM-theory,”
Nucl. Phys. B 768, 193 (2007) [arXiv:hep-th/0607116].
[29] M. Kruczenski, “Spiky strings and single trace operators in gauge theories,”
JHEP 0508, 014 (2005) [arXiv:hep-th/0410226].
[30] M. Kruczenski, J. Russo and A. A. Tseytlin, “Spiky strings and giant magnons
on S**5,” JHEP 0610, 002 (2006) [arXiv:hep-th/0607044].
[31] J. Maldacena and I. Swanson, “Connecting giant magnons to the pp-wave: An
interpolating limit of AdS(5) x S**5,” arXiv:hep-th/0612079.
[32] J. Plefka, “Spinning strings and integrable spin chains in the AdS/CFT correspondence,”
arXiv:hep-th/0507136.
[33] J. Kluson, R. R. Nayak and K. L. Panigrahi, “Giant Magnon in NS5-brane
Background,” JHEP 0704, 099 (2007) [arXiv:hep-th/0703244].
[34] B. H. Lee, R. R. Nayak, K. L. Panigrahi and C. Park, “On the giant
magnon and spike solutions for strings on AdS3× S3,” JHEP 0806, 065 (2008)
[arXiv:0804.2923 [hep-th]].
[35] J. R. David and B. Sahoo, “Giant magnons in the D1-D5 system,” JHEP 0807,
033 (2008) [arXiv:0804.3267 [hep-th]].
[36] P. Bozhilov, “Spin chain from membrane and the Neumann-Rosochatius integrable
system,” Phys. Rev. D 76, 106003 (2007) [arXiv:0706.1443 [hep-th]].
[37] H. Dimov and R. C. Rashkov, “On the anatomy of multi-spin magnon and single
spike string solutions,” Nucl. Phys. B 799, 255 (2008) [arXiv:0709.4231 [hep-th]].
[38] J. Kluson and K. L. Panigrahi, “D1-brane in beta-Deformed Background,” JHEP
0711, 011 (2007) [arXiv:0710.0148 [hep-th]].
[39] R. Ishizeki, M. Kruczenski, M. Spradlin and A. Volovich, “Scattering of single
spikes,” JHEP 0802, 009 (2008) [arXiv:0710.2300 [hep-th]].
[40] J. Kluson, “Fundamental String and D1-brane in I-brane Background,” JHEP
0801, 045 (2008) [arXiv:0711.4219 [hep-th]].
[41] J. Kluson, “Note About String with Euclidean World-Sheet in AdS(5)xS(5),”
arXiv:0802.0935 [hep-th].
[42] M. C. Abbott and I. V. Aniceto, “Vibrating giant spikes and the large-winding
sector,” JHEP 0806, 088 (2008) [arXiv:0803.4222 [hep-th]].
[43] C. Ahn and P. Bozhilov, “Finite-size Effects for Single Spike,” JHEP 0807, 105
(2008) [arXiv:0806.1085 [hep-th]].
[44] B. H. Lee, K. L. Panigrahi and C. Park, “Spiky Strings on AdS4 × CP3,”
[arXiv:0807.2559 [hep-th]].
[45] C. Ahn, P. Bozhilov and R. C. Rashkov, “Neumann-Rosochatius integrable system
for strings on AdS4×CP3,” JHEP 0809, 017 (2008) [arXiv:0807.3134 [hepth]].
[46] C. Gomez and R. Hernandez, “The magnon kinematics of the AdS/CFT correspondence,”
JHEP 0611, 021 (2006) [arXiv:hep-th/0608029].
[47] G. T. Horowitz and A. Strominger, “Black strings and P-branes,” Nucl. Phys. B
360, 197 (1991).
[48] J. P. Gauntlett, “Intersecting branes,” arXiv:hep-th/9705011.
[49] D. Israel, C. Kounnas, D. Orlando and P. M. Petropoulos, “Electric / magnetic
deformations of S3 and AdS3, and geometric cosets,” Fortsch. Phys. 53, 73 (2005)
[arXiv:hep-th/0405213].
[50] O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal
Chern-Simons-matter theories, M2-branes and their gravity duals,”
arXiv:0806.1218 [hep-th].
[51] C. Ahn, “Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge
Theory,” arXiv:0809.3684 [hep-th].
[52] J. A. Minahan and K. Zarembo, “The Bethe-ansatz for N = 4 super Yang-Mills,”
JHEP 0303, 013 (2003) [arXiv:hep-th/0212208].
[53] N. Dorey, “Magnon bound states and the AdS/CFT correspondence,” J. Phys.
A 39, 13119 (2006) [arXiv:hep-th/0604175].
[54] See e.g.. chapter 5 in:
E. H. Fradkin, “Field theories of condensed matter systems,” Redwood City,
USA: Addison-Wesley (1991) 350 p. (Frontiers in physics, 82)
[55] N. Seiberg and E.Witten, “String theory and noncommutative geometry,” JHEP
9909, 032 (1999) [arXiv:hep-th/9908142].
[56] K. Pohlmeyer, “Integrable Hamiltonian Systems And Interactions Through
Quadratic Constraints,” Commun. Math. Phys. 46, 207 (1976).

指導教授

陳江梅(Chiang-Mei Chen)

審核日期

2009-7-21

推文