Higgs branch of heterotic little string theories: Hasse diagrams and generalized symmetries - INSPIRE

DataBETA

Higgs branch of heterotic little string theories: Hasse diagrams and generalized symmetries

Craig Lawrie
(
- DESY
)
,
Lorenzo Mansi
(
- DESY
)

Dec 8, 2023

68 pages

Published in:

Phys.Rev.D 110 (2024) 2, 026016

Published: Jul 15, 2024

e-Print:

2312.05306 [hep-th]

DOI:

10.1103/PhysRevD.110.026016 (publication)

Report number:

DESY-23-199

View in:

ADS Abstract Service

reference search17 citations

Citations per year

Abstract: (APS)

We study the Higgs branches of the 6D (1, 0) little string theories that live on the world volume of NS5-branes probing an ADE-singularity in the heterotic

E_{8} \times E_{8}

and

Spin (32) / Z_{2}

string theories. On the

E_{8} \times E_{8}

side, such little string theories (LSTs) are obtained via fusion of orbi-instanton SCFTs. For the

C^{2} / Z_{K}

orbifolds, we determine a magnetic quiver for the Higgs branch from the alternative type IIA brane system engineering the LST; we show that the magnetic quiver obtained in this way is the same as the Coulomb gauging of the 3D mirrors associated with the orbi-instanton building blocks. Using quiver subtraction, we determine the Hasse diagram of Higgs branch renormalization group flows between the LSTs, and we analyze how the structure constants of the generalized global symmetries vary along the edges of the Hasse diagram. From the Hasse diagram of the Higgs branch, we are immediately able to identify LSTs with the same T-duality-invariant properties, and thus propose candidate T-dual pairs. We perform a similar analysis of the Higgs branch Hasse diagram and putative T-dual families for particular

E_{6}

-orbifold LSTs by taking advantage of a duality between a rank zero orbi-instanton theory and a rank one conformal matter theory.

Note:

68 pages, 16 figures, 8 tables

renormalization group: flow
matter: conformal
symmetry: global
quiver
T-duality
string model
heterotic
orbifold
duality
family

References(117)

Figures(0)

[1]

Supersymmetries and Their Representations

W. Nahm
(
- CERN
)

- ,
- Nucl.Phys.B 135 (1978) 149,
•
DOI:
- 10.1201/9781482268737-2

[2]

Nontrivial fixed points of the renormalization group in six-dimensions

Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 390 (1997) 169-171
•
e-Print:
- hep-th/9609161
•
DOI:
- 10.1016/S0370-2693(96)01424-4

[3]

Open p-branes

- ,
- Phys.Lett.B 383 (1996) 44-47,
•
e-Print:
- hep-th/9512059
•
DOI:
- 10.1201/9781482268737-13

[4]

Some comments on string dynamics

E. Witten

[4]

Some comments on string dynamics

Edward Witten
(
- Princeton, Inst. Advanced Study
)

•
e-Print:
- hep-th/9507121

[5]

Snowmass White Paper on SCFTs

Philip C. Argyres
(
- Cincinnati U.
)
,
Jonathan J. Heckman
(
- Pennsylvania U.
)
,
Kenneth Intriligator
(
- UC, San Diego
)
,
Mario Martone
(
)

e-Print:
- 2202.07683

[6]

Atomic Classification of 6D SCFTs

Jonathan J. Heckman
(
- UNC, Chapel Hill
)
,
David R. Morrison
(
- UC, Santa Barbara and
- UC, Santa Barbara, Dept. Math.
)
,
Tom Rudelius
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Fortsch.Phys. 63 (2015) 468-530
•
e-Print:
- 1502.05405
•
DOI:
- 10.1002/prop.201500024

[7]

On the Classification of 6D SCFTs and Generalized ADE Orbifolds

- JHEP 05 (2014) 028,
- JHEP 06 (2015) 017 (erratum)
•
e-Print:
- 1312.5746
•
DOI:
- 10.1007/JHEP05(2014)028

[8]

6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains

Florent Baume
(
- Madrid, IFT
)
,
Jonathan J. Heckman
(
- Pennsylvania U.
)
,
Craig Lawrie
(
- Pennsylvania U.
)

- Nucl.Phys.B 967 (2021) 115401
•
e-Print:
- 2007.07262
•
DOI:
- 10.1016/j.nuclphysb.2021.115401

[9]

Super-spin chains for 6D SCFTs

Florent Baume
(
- Pennsylvania U.
)
,
Jonathan J. Heckman
(
- Pennsylvania U.
)
,
Craig Lawrie
(
- DESY
)

- Nucl.Phys.B 992 (2023) 116250
•
e-Print:
- 2208.02272
•
DOI:
- 10.1016/j.nuclphysb.2023.116250

[10]

Two 6D origins of 4D SCFTs: Class $S$ and 6D (1, 0) on a torus

Florent Baume
(
- Pennsylvania U.
)
,
Monica Jinwoo Kang
(
- Caltech and
- KAIST, Taejon
)
,
Craig Lawrie
(
- Pennsylvania U.
)

- Phys.Rev.D 106 (2022) 8, 086003
•
e-Print:
- 2106.11990
•
DOI:
- 10.1103/PhysRevD.106.086003

[11]

Bestiary of 6D (1, 0) SCFTs: Nilpotent orbits and anomalies

Florent Baume
(
- Hamburg U., Inst. Theor. Phys. II
)
,
Craig Lawrie
(
- DESY
)

- Phys.Rev.D 110 (2024) 4, 045021
•
e-Print:
- 2312.13347
•
DOI:
- 10.1103/PhysRevD.110.045021

[12]

Charges and holography in 6d (1,0) theories

Oren Bergman
(
- Technion
)
,
Marco Fazzi
(
- Technion and
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Diego Rodríguez-Gómez
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Alessandro Tomasiello
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- JHEP 05 (2020) 138
•
e-Print:
- 2002.04036
•
DOI:
- 10.1007/JHEP05(2020)138

[13]

Fibrations and Hasse diagrams for 6d SCFTs

Antoine Bourget
(
- LPENS, Paris and
- IPhT, Saclay
)
,
Julius F. Grimminger
(
- Imperial Coll., London
)

- JHEP 12 (2022) 159
•
e-Print:
- 2209.15016
•
DOI:
- 10.1007/JHEP12(2022)159

[14]

Magnetic quivers, Higgs branches, and 6d $N$ =(1,0) theories

- JHEP 06 (2019) 071,
- JHEP 07 (2019) 137 (erratum)
•
e-Print:
- 1904.12293
•
DOI:
- 10.1007/JHEP06(2019)071

[15]

Magnetic quivers, Higgs branches, and 6d $\mathcal{N}$ = (1, 0) theories — orthogonal and symplectic gauge groups

- JHEP 02 (2020) 184
•
e-Print:
- 1912.02773
•
DOI:
- 10.1007/JHEP02(2020)184

[16]

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
)

- JHEP 03 (2019) 035
•
e-Print:
- 1810.10013
•
DOI:
- 10.1007/JHEP03(2019)035

[17]

Isomorphisms of 4D $N = 2$ SCFTs from 6D

- Phys.Rev.D 107 (2023) 10, 106005
•
e-Print:
- 2212.11983
•
DOI:
- 10.1103/PhysRevD.107.106005

[18]

(to be published)

J. Distler
,
M.J. Kang
,
C. Lawrie

[19]

Distinguishing 6D (1, 0) SCFTs: An extension to the geometric construction

Jacques Distler
(
- U. Texas, Austin (main)
)
,
Monica Jinwoo Kang
(
- Caltech
)
,
Craig Lawrie
(
- DESY
)

- Phys.Rev.D 106 (2022) 6, 066011
•
e-Print:
- 2203.08829
•
DOI:
- 10.1103/PhysRevD.106.066011

[20]

The small E $_{8}$ instanton and the Kraft Procesi transition

Amihay Hanany
(
- Imperial Coll., London
)
,
Noppadol Mekareeya
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 07 (2018) 098
•
e-Print:
- 1801.01129
•
DOI:
- 10.1007/JHEP07(2018)098

[21]

Discrete Gauging in Six Dimensions

Amihay Hanany
(
- Imperial Coll., London
)
,
Gabi Zafrir
(
- Tokyo U., IPMU
)

- JHEP 07 (2018) 168
•
e-Print:
- 1804.08857
•
DOI:
- 10.1007/JHEP07(2018)168

[22]

T-Branes, String Junctions, and 6D SCFTs

Falk Hassler
(
- Oviedo U.
)
,
Jonathan J. Heckman
(
- Pennsylvania U.
)
,
Thomas B. Rochais
(
- Pennsylvania U.
)
,
Tom Rudelius
(
- Princeton, Inst. Advanced Study
)
,
Hao Y. Zhang
(
- Pennsylvania U.
)

- Phys.Rev.D 101 (2020) 8, 086018
•
e-Print:
- 1907.11230
•
DOI:
- 10.1103/PhysRevD.101.086018

[23]

Geometry of 6D RG Flows

Jonathan J. Heckman
(
- North Carolina U.
)
,
David R. Morrison
(
- UC, Santa Barbara
)
,
Tom Rudelius
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 09 (2015) 052
•
e-Print:
- 1505.00009
•
DOI:
- 10.1007/JHEP09(2015)052

[24]

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

1-25 of 117
1
2
3
4
5
25 / page