The AdS$_3\times $S$^3$ Virasoro-Shapiro amplitude with RR flux

Chester, Shai M.; Zhong, De-liang

The AdS $_3\times$ S $^3$ Virasoro-Shapiro amplitude with RR flux

Dec 9, 2024

10 pages

e-Print:

2412.06429 [hep-th]

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Abstract: (arXiv)

We compute the AdS Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure RR flux on

AdS_3\times S^3\times M_4

for

M_4=T^4

or

K3

, to all orders in

\alpha'

in a small AdS curvature expansion. This is achieved by comparing the flat space limit of the dual D1D5 CFT correlator to an ansatz for the amplitude as a worldsheet integral in terms of single valued multiple polylogarithms. The first curvature correction is fully fixed in this way, and satisfies consistency checks in the high energy limit, and by comparison of the energy of massive string operators to a semiclassical expansion. Our result gives infinite predictions for CFT data in the planar limit at strong coupling, which can guide future integrability studies.

Note:

5 pages plus appendices, v2 submitted for publication

References(68)

Figures(0)

[1]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

Deriving the AdS $_{3}$ /CFT $_{2}$ correspondence

Lorenz Eberhardt
(
- Zurich, ETH and
- Princeton, Inst. Advanced Study
)
,
Matthias R. Gaberdiel
(
- Zurich, ETH
)
,
Rajesh Gopakumar
(
- ICTS, Bangalore
)

- JHEP 02 (2020) 136
•
e-Print:
- 1911.00378
•
DOI:
- 10.1007/JHEP02(2020)136

[3]

Type II string theory on ${AdS}_{3} \times S^{3} \times T^{4}$ and symmetric orbifolds

Ofer Aharony
(
- Weizmann Inst. and
- Princeton, Inst. Advanced Study
)
,
Erez Y. Urbach
(
- Weizmann Inst.
)

- Phys.Rev.D 110 (2024) 4, 046028
•
e-Print:
- 2406.14605
•
DOI:
- 10.1103/PhysRevD.110.046028

[4]

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

[5]

Giant magnon solution and dispersion relation in string theory in $AdS_3$ x $S^3$ x $T^4$ with mixed flux

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

- Nucl.Phys.B 879 (2014) 318-347
•
e-Print:
- 1311.1794
•
DOI:
- 10.1016/j.nuclphysb.2013.12.011

[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

[7]

The complete worldsheet S matrix of superstrings on AdS $_3 \times$ S $^3 \times$ T $^4$ with mixed three-form flux

- Nucl.Phys.B 891 (2015) 570-612
•
e-Print:
- 1410.0866
•
DOI:
- 10.1016/j.nuclphysb.2014.12.019

[8]

Comments on integrability in the symmetric orbifold

- JHEP 08 (2024) 179
•
e-Print:
- 2312.14114
•
DOI:
- 10.1007/JHEP08(2024)179

[9]

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

[10]

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

[11]

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

[12]

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

[13]

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

[14]

All-loop Bethe ansatz equations for AdS3/CFT2

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

[15]

On the massless modes of the AdS3/CFT2 integrable systems

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

[16]

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

[17]

Exploring the Quantum Spectral Curve for AdS $_{3}$ /CFT $_{2}$

Andrea Cavaglià
(
- INFN, Turin and
- Turin U.
)
,
Simon Ekhammar
(
- Uppsala U.
)
,
Nikolay Gromov
(
- King's Coll. London, Dept. Math and
- St. Petersburg, INP
)
,
Paul Ryan
(
- King's Coll. London, Dept. Math
)

- JHEP 12 (2023) 089
•
e-Print:
- 2211.07810
•
DOI:
- 10.1007/JHEP12(2023)089

[18]

Monodromy bootstrap for SU(2|2) quantum spectral curves: from Hubbard model to AdS $_{3}$ /CFT $_{2}$

Simon Ekhammar
(
- Uppsala U.
)
,
Dmytro Volin
(
- Uppsala U.
)

- JHEP 03 (2022) 192
•
e-Print:
- 2109.06164
•
DOI:
- 10.1007/JHEP03(2022)192

[19]

Quantum Spectral Curve for AdS $_{3}$ /CFT $_{2}$ : a proposal

- JHEP 12 (2021) 048
•
e-Print:
- 2109.05500
•
DOI:
- 10.1007/JHEP12(2021)048

[20]

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

[21]

Exact approaches on the string worldsheet

Saskia Demulder
(
- Ben Gurion U. of Negev
)
,
Sibylle Driezen
(
- Zurich, ETH
)
,
Bob Knighton
(
- Cambridge U., DAMTP
)
,
Gerben Oling
(
- Edinburgh U., Sch. Math.
)
,
Ana L. Retore
(
- Durham U., Dept. of Math.
)

et al.

- J.Phys.A 57 (2024) 42, 423001
•
e-Print:
- 2312.12930
•
DOI:
- 10.1088/1751-8121/ad72be

[22]

AdS3 Integrability, Tensionless Limits, and Deformations: A Review

Fiona K. Seibold
(
- Imperial Coll., London
)
,
Alessandro Sfondrini
(
- U. Padua (main) and
- INFN, Padua
)

e-Print:
- 2408.08414

[23]

A quantum spectral curve for the T4 case was recently proposed in [18, 19], see [22] for a review, but is not yet at the point where CFT data can be computed the large λ limit, unlike the better understood AdS5 ×S5 case [30]

[24]

AdS Virasoro-Shapiro from dispersive sum rules

- JHEP 10 (2022) 036
•
e-Print:
- 2204.07542
•
DOI:
- 10.1007/JHEP10(2022)036

[25]

AdS Virasoro-Shapiro from single-valued periods

- JHEP 12 (2022) 010
•
e-Print:
- 2209.06223
•
DOI:
- 10.1007/JHEP12(2022)010

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The AdS3×_3\times 3​×S3^33 Virasoro-Shapiro amplitude with RR flux

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The AdS $_3\times$ S $^3$ Virasoro-Shapiro amplitude with RR flux