Holographic duals of 6d RG flows - INSPIRE

DataBETA

Holographic duals of 6d RG flows

G.Bruno De Luca
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Alessandra Gnecchi
(
- CERN
)
,
Gabriele Lo Monaco
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Alessandro Tomasiello
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

Oct 23, 2018

33 pages

Published in:

JHEP 03 (2019) 035

Published: Mar 6, 2019

e-Print:

1810.10013 [hep-th]

DOI:

10.1007/JHEP03(2019)035

Report number:

CERN-TH-2018-229

View in:

reference search21 citations

Citations per year

Abstract: (Springer)

A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer N , an ADE group G, and two nilpotent elements μ

_{L,R}

in G. Nilpotent elements have a natural partial ordering, which has been conjectured to coincide with the hierarchy of renormalization-group flows among the SCFTs. In this paper we test this conjecture for G = SU(k), where AdS

_{7}

duals exist in IIA. We work with a seven-dimensional gauged supergravity, consisting of the gravity multiplet and two SU(k) non-Abelian vector multiplets. We show that this theory has many supersymmetric AdS

_{7}

vacua, determined by two nilpotent elements, which are naturally interpreted as IIA AdS

_{7}

solutions. The BPS equations for domain walls connecting two such vacua can be solved analytically, up to a Nahm equation with certain boundary conditions. The latter admit a solution connecting two vacua if and only if the corresponding nilpotent elements are related by the natural partial ordering, in agreement with the field theory conjecture.

Note:

33 pages, 2 figures

AdS-CFT Correspondence
Supergravity Models
Superstring Vacua
renormalization group: flow
dimension: 7
duality: holography
Nahm equation
vacuum state: supersymmetry
supergravity: Type IIA
domain wall

References(37)

Figures(2)

[1]

RG fixed points in six-dimensions via branes at orbifold singularities

Kenneth A. Intriligator
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 496 (1997) 177-190
•
e-Print:
- hep-th/9702038
•
DOI:
- 10.1016/S0550-3213(97)00236-8

[2]

New string theories in six-dimensions via branes at orbifold singularities

Kenneth A. Intriligator
(
- Princeton, Inst. Advanced Study and
- UC, San Diego
)

- Adv.Theor.Math.Phys. 1 (1998) 271-282
•
e-Print:
- hep-th/9708117
•
DOI:
- 10.4310/ATMP.1997.v1.n2.a5

[3]

Branes at orbifolds versus Hanany Witten in six-dimensions

- JHEP 03 (1998) 003
•
e-Print:
- hep-th/9712143
•
DOI:
- 10.1088/1126-6708/1998/03/003

[4]

Branes and six-dimensional supersymmetric theories

- Nucl.Phys.B 529 (1998) 180-206
•
e-Print:
- hep-th/9712145
•
DOI:
- 10.1016/S0550-3213(98)00355-1

[5]

All AdS $_7$ solutions of type II supergravity

Fabio Apruzzi
(
- Hannover U.
)
,
Marco Fazzi
(
- Intl. Solvay Inst., Brussels and
- Brussels U.
)
,
Dario Rosa
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 04 (2014) 064
•
e-Print:
- 1309.2949
•
DOI:
- 10.1007/JHEP04(2014)064

[6]

Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity

Fabio Apruzzi
(
- Leibniz U., Hannover
)
,
Marco Fazzi
(
- Brussels U. and
- Intl. Solvay Inst., Brussels
)
,
Achilleas Passias
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Andrea Rota
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Alessandro Tomasiello
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- Phys.Rev.Lett. 115 (2015) 6, 061601
•
e-Print:
- 1502.06616
•
DOI:
- 10.1103/PhysRevLett.115.061601

[7]

6d holographic anomaly match as a continuum limit

- JHEP 05 (2016) 031
•
e-Print:
- 1512.02225
•
DOI:
- 10.1007/JHEP05(2016)031

[8]

6d Conformal Matter

Michele Del Zotto
(
- Harvard U., Phys. Dept.
)
,
Jonathan J. Heckman
(
- Harvard U., Phys. Dept. and
- North Carolina U.
)
,
Alessandro Tomasiello
(
- Milan Bicocca U.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 02 (2015) 054
•
e-Print:
- 1407.6359
•
DOI:
- 10.1007/JHEP02(2015)054

[9]

6D RG Flows and Nilpotent Hierarchies

Jonathan J. Heckman
(
)
,
Tom Rudelius
(
- Harvard U.
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 07 (2016) 082
•
e-Print:
- 1601.04078
•
DOI:
- 10.1007/JHEP07(2016)082

[10]

Fission, Fusion, and 6D RG Flows

- JHEP 02 (2019) 167
•
e-Print:
- 1807.10274
•
DOI:
- 10.1007/JHEP02(2019)167

[11]

Holography for (1,0) theories in six dimensions

- JHEP 12 (2014) 003
•
e-Print:
- 1404.0711
•
DOI:
- 10.1007/JHEP12(2014)003

[12]

Universal consistent truncation for 6d/7d gauge/gravity duals

Achilleas Passias
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Andrea Rota
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 10 (2015) 187
•
e-Print:
- 1506.05462
•
DOI:
- 10.1007/JHEP10(2015)187

[13]

Supersymmetric AdS $_{7}$ and AdS $_6$ vacua and their minimal consistent truncations from exceptional field theory

Emanuel Malek
(
- Munich U., ASC
)
,
Henning Samtleben
(
- ENS, Lyon, Lab. Phys.
)
,
Valentí Vall Camell
(
- Munich U., ASC and
- Munich, Max Planck Inst.
)

- Phys.Lett.B 786 (2018) 171-179
•
e-Print:
- 1808.05597
•
DOI:
- 10.1016/j.physletb.2018.09.037

[14]

RG flows in 6D N = (1,0) SCFT from SO(4) half-maximal 7D gauged supergravity

Parinya Karndumri
(
- Chulalongkorn U.
)

- JHEP 06 (2014) 101
•
e-Print:
- 1404.0183
•
DOI:
- 10.1007/JHEP06(2014)101

[15]

A swamp of non-SUSY vacua

- JHEP 11 (2017) 152
•
e-Print:
- 1708.03293
•
DOI:
- 10.1007/JHEP11(2017)152

[16]

Dielectric branes

Robert C. Myers
(
- Santa Barbara, KITP and
- McGill U.
)

- JHEP 12 (1999) 022
•
e-Print:
- hep-th/9910053
•
DOI:
- 10.1088/1126-6708/1999/12/022

[17]

A Simple Formalism for the BPS Monopole

W. Nahm
(
- CERN
)

- Phys.Lett.B 90 (1980) 413-414
•
DOI:
- 10.1016/0370-2693(80)90961-2

[18]

Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

- J.Statist.Phys. 135 (2009) 789-855
•
e-Print:
- 0804.2902
•
DOI:
- 10.1007/s10955-009-9687-3

[19]

Instantons and the geometry of the nilpotent variety

P.B. Kronheimer
(
- Oxford U.
)

- J.Diff.Geom. 32 (1990) 2, 473-490

[20]

Holography, Brane Intersections and Six-dimensional SCFTs

Nikolay Bobev
(
- Leuven U.
)
,
Giuseppe Dibitetto
(
- Uppsala U.
)
,
Fridrik Freyr Gautason
(
- IPhT, Saclay and
- Leuven U.
)
,
Brecht Truijen
(
- Leuven U.
)

- JHEP 02 (2017) 116
•
e-Print:
- 1612.06324
•
DOI:
- 10.1007/JHEP02(2017)116

[21]

On the dualization of Born–Infeld theories

Laura Andrianopoli
(
- INFN, Turin and
- Turin Polytechnic
)
,
Riccardo D'Auria
(
- INFN, Turin and
- Turin Polytechnic
)
,
Mario Trigiante
(
- INFN, Turin and
- Turin Polytechnic
)

- Phys.Lett.B 744 (2015) 225-230
•
e-Print:
- 1412.6786
•
DOI:
- 10.1016/j.physletb.2015.03.064

[22]

Tilings, Chern-Simons Theories and M2 Branes

Amihay Hanany
(
- Imperial Coll., London
)
,
Alberto Zaffaroni
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- JHEP 10 (2008) 111
•
e-Print:
- 0808.1244
•
DOI:
- 10.1088/1126-6708/2008/10/111

[23]

T-branes, Anomalies and Moduli Spaces in 6D SCFTs

Noppadol Mekareeya
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Tom Rudelius
(
- Harvard U.
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 10 (2017) 158
•
e-Print:
- 1612.06399
•
DOI:
- 10.1007/JHEP10(2017)158

[24]

Small instanton transitions for M5 fractions

Noppadol Mekareeya
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)
,
Kantaro Ohmori
(
- Tokyo U. and
- Princeton, Inst. Advanced Study
)
,
Hiroyuki Shimizu
(
- Tokyo U., IPMU
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 10 (2017) 055
•
e-Print:
- 1707.05785
•
DOI:
- 10.1007/JHEP10(2017)055

[25]

Nilpotent orbits in semisimple Lie algebra / Reinhold

D.H. Collingwood
,
W.M. McGovern

1-25 of 37
1
2
25 / page