Elliptic solutions in the Neumann–Rosochatius system with mixed flux - INSPIRE

DataBETA

Elliptic solutions in the Neumann–Rosochatius system with mixed flux

Rafael Hernandez
(
- Madrid, IFT
)
,
Juan Miguel Nieto
(
- Madrid, IFT
)

Feb 18, 2015

11 pages

Published in:

Phys.Rev.D 91 (2015) 12, 126006

Published: Jun 15, 2015

e-Print:

1502.05203 [hep-th]

DOI:

10.1103/PhysRevD.91.126006

View in:

reference search28 citations

Citations per year

Abstract: (APS)

Closed strings spinning in AdS3×S3×T4 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three-form fluxes are described by a deformation of the one-dimensional Neumann–Rosochatius integrable system. In this article we find general solutions to this system that can be expressed in terms of elliptic functions. We consider closed strings rotating either in S3 with two different angular momenta or in AdS3 with one spin. To find the solutions, we will need to extend the Uhlenbeck integrals of motion of the Neumann–Rosochatius system to include the contribution from the flux. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux, where the problem can be described by a supersymmetric Wess-Zumino-Witten model, we find exact expressions for the classical energy in terms of the spin and the angular momenta of the spinning string.

Note:

18 pages. Latex. v2: Extended discussions, corrected misprints and added reference. Published version

11.25.Tq
string: closed
string: rotation
string: spin
differential forms: 3
energy: classical
spin: 1
dimension: 1
flux
angular momentum

References(43)

Figures(0)

[1]

Integrability and the AdS(3)/CFT(2) correspondence

A. Babichenko
(
- Weizmann Inst. and
- HIT, Holon
)
,
B. Stefanski, Jr.
(
- London, City U.
)
,
K. Zarembo
(
- Ecole Normale Superieure and
- Uppsala U.
)

- JHEP 03 (2010) 058
•
e-Print:
- 0912.1723
•
DOI:
- 10.1007/JHEP03(2010)058

[2]

Strings on Semisymmetric Superspaces

K. Zarembo
(
- Ecole Normale Superieure and
- Uppsala U.
)

- JHEP 05 (2010) 002
•
e-Print:
- 1003.0465
•
DOI:
- 10.1007/JHEP05(2010)002

[2]

Algebraic Curves for Integrable String Backgrounds

K. Zarembo
(
- Ecole Normale Superieure and
- Uppsala U.
)

e-Print:
- 1005.1342

[3]

Integrability, spin-chains and the AdS3/CFT2 correspondence

Olof Ohlsson Sax
(
- Uppsala U.
)
,
B. Stefanski, Jr.
(
- London, City U.
)

- JHEP 08 (2011) 029
•
e-Print:
- 1106.2558
•
DOI:
- 10.1007/JHEP08(2011)029

[4]

Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring

Nitin Rughoonauth
(
- Cape Town U., ACGC and
- Cape Town U., Dept. Math.
)
,
Per Sundin
(
- Cape Town U., ACGC and
- Cape Town U., Dept. Math.
)
,
Linus Wulff
(
- Texas A-M
)

- JHEP 07 (2012) 159
•
e-Print:
- 1204.4742
•
DOI:
- 10.1007/JHEP07(2012)159

[5]

On the massless modes of the AdS3/CFT2 integrable systems

- JHEP 03 (2013) 109
•
e-Print:
- 1211.1952
•
DOI:
- 10.1007/JHEP03(2013)109

[6]

Exact $S$ -matrices for $AdS_3/CFT_2$

Changrim Ahn
(
- Ewha Women's U., Seoul
)
,
Diego Bombardelli
(
- Porto U.
)

- Int.J.Mod.Phys.A 28 (2013) 1350168
•
e-Print:
- 1211.4512
•
DOI:
- 10.1142/S0217751X13501686

[6]

A dynamic $\mathfrak{su}$ (1|1) $^2$ S-matrix for AdS $_3$ /CFT $_2$

- JHEP 04 (2013) 113
•
e-Print:
- 1211.5119
•
DOI:
- 10.1007/JHEP04(2013)113

[6]

All-loop Bethe ansatz equations for AdS3/CFT2

- JHEP 04 (2013) 116
•
e-Print:
- 1212.0505
•
DOI:
- 10.1007/JHEP04(2013)116

[6]

The all-loop integrable spin-chain for strings on AdS $_3 \times S^3 \times T^4$ : the massive sector

Riccardo Borsato
(
- Utrecht U.
)
,
Olof Ohlsson Sax
(
- Utrecht U.
)
,
Alessandro Sfondrini
(
- Utrecht U.
)
,
Bogdan Stefański
(
- London, City U.
)
,
Alessandro Torrielli
(
- Surrey U.
)

- JHEP 08 (2013) 043
•
e-Print:
- 1303.5995
•
DOI:
- 10.1007/JHEP08(2013)043

[6]

Towards the All-Loop Worldsheet S Matrix for $AdS_3\times S^3\times T^4$

Riccardo Borsato
(
- Utrecht U., Spinoza Inst. and
- Utrecht U.
)
,
Olof Ohlsson Sax
(
- Imperial Coll., London
)
,
Alessandro Sfondrini
(
)
,
Bogdan Stefanski
(
- London, City U.
)

- Phys.Rev.Lett. 113 (2014) 13, 131601
•
e-Print:
- 1403.4543
•
DOI:
- 10.1103/PhysRevLett.113.131601

[6]

The complete AdS $_{3} \times$ S $^3 \times$ T $^4$ worldsheet S matrix

Riccardo Borsato
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Olof Ohlsson Sax
(
- Imperial Coll., London
)
,
Alessandro Sfondrini
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)
,
Bogdan Stefanski
(
- London, City U.
)

- JHEP 10 (2014) 066
•
e-Print:
- 1406.0453
•
DOI:
- 10.1007/JHEP10(2014)066

[7]

Quantum corrections to spinning superstrings in $AdS_3 \times S^3 \times M^4$ : determining the dressing phase

M. Beccaria
(
- INFN, Lecce and
- Salento U.
)
,
F. Levkovich-Maslyuk
(
- Moscow, ITEP and
- SINP, Moscow
)
,
G. Macorini
(
- Bohr Inst.
)
,
A.A. Tseytlin
(
- Imperial Coll., London and
- Lebedev Inst.
)

- JHEP 04 (2013) 006
•
e-Print:
- 1211.6090
•
DOI:
- 10.1007/JHEP04(2013)006

[7]

Quantum corrections to short folded superstring in $AdS_3 \times S^3 \times M^4$

M. Beccaria
(
- INFN, Lecce and
- Salento U.
)
,
G. Macorini
(
- Bohr Inst.
)

- JHEP 03 (2013) 040
•
e-Print:
- 1212.5672
•
DOI:
- 10.1007/JHEP03(2013)040

[7]

Dressing phases of AdS3/CFT2

Riccardo Borsato
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Olof Ohlsson Sax
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Alessandro Sfondrini
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Bogdan Stefanski, Jr.
(
- London, City U.
)
,
Alessandro Torrielli
(
- Surrey U., Math. Stat. Dept.
)

- Phys.Rev.D 88 (2013) 066004
•
e-Print:
- 1306.2512
•
DOI:
- 10.1103/PhysRevD.88.066004

[7]

The $AdS_{3}$ × $S^{3}$ × $S^{3}$ × $S^{1}$ Hernández–López phases: a semiclassical derivation

Michael C. Abbott
(
- Cape Town U., Dept. Math.
)

- J.Phys.A 46 (2013) 445401
•
e-Print:
- 1306.5106
•
DOI:
- 10.1088/1751-8113/46/44/445401

[7]

Macroscopic (and Microscopic) Massless Modes

Michael C. Abbott
(
- Cape Town U., Dept. Math.
)
,
Inês Aniceto
(
- Lisbon, IST Maths and
- Jagiellonian U.
)

- Nucl.Phys.B 894 (2015) 75-107
•
e-Print:
- 1412.6380
•
DOI:
- 10.1016/j.nuclphysb.2015.02.022

[7]

An improved AFS phase for AdS $_3$ string integrability

- Phys.Lett.B 743 (2015) 61-65
•
e-Print:
- 1412.6863
•
DOI:
- 10.1016/j.physletb.2015.02.016

[8]

Worldsheet scattering in AdS(3)/CFT(2)

Per Sundin
(
- Cape Town U., Dept. Math. and
- Cape Town U., ACGC
)
,
Linus Wulff
(
- Texas A-M
)

- JHEP 07 (2013) 007
•
e-Print:
- 1302.5349
•
DOI:
- 10.1007/JHEP07(2013)007

[9]

$AdS_3/CFT_2$ , finite-gap equations and massless modes

- JHEP 04 (2014) 179
•
e-Print:
- 1312.3268
•
DOI:
- 10.1007/JHEP04(2014)179

[10]

Worldsheet two- and four-point functions at one loop in $AdS_3/CFT_2$

Per Sundin
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- Phys.Lett.B 733 (2014) 134-139
•
e-Print:
- 1403.1449
•
DOI:
- 10.1016/j.physletb.2014.04.022

[11]

Towards integrability for ${\rm Ad}{{{\rm S}}_{{\bf 3}}}/{\rm CF}{{{\rm T}}_{{\bf 2}}}$

Alessandro Sfondrini
(
- Humboldt U., Berlin and
- Humboldt U., Berlin, Inst. Math.
)

- J.Phys.A 48 (2015) 2, 023001
•
e-Print:
- 1406.2971
•
DOI:
- 10.1088/1751-8113/48/2/023001

[12]

B-field in AdS(3)/CFT(2) Correspondence and Integrability

A. Cagnazzo
(
- Nordita and
- Royal Inst. Tech., Stockholm
)
,
K. Zarembo
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- Uppsala U. and
- Moscow, ITEP
)

- JHEP 11 (2012) 133,
- JHEP 04 (2013) 003 (erratum)
•
e-Print:
- 1209.4049
•
DOI:
- 10.1007/JHEP11(2012)133

[13]

On string theory on $AdS_3 \times S^3 \times T^4$ with mixed 3-form flux: tree-level S-matrix

B. Hoare
(
- Humboldt U., Berlin
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

- Nucl.Phys.B 873 (2013) 682-727
•
e-Print:
- 1303.1037
•
DOI:
- 10.1016/j.nuclphysb.2013.05.005

[13]

Massive S-matrix of $AdS_3 \times S^3 \times T^4$ superstring theory with mixed 3-form flux

B. Hoare
(
- Humboldt U., Berlin
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

- Nucl.Phys.B 873 (2013) 395-418
•
e-Print:
- 1304.4099
•
DOI:
- 10.1016/j.nuclphysb.2013.04.024

1-25 of 43
1
2
25 / page