Unraveling <math display="inline"><mi>T</mi></math> duality: Magnetic quivers in rank-zero little string theories - INSPIRE

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Unraveling $T$ duality: Magnetic quivers in rank-zero little string theories

Lorenzo Mansi
(
- DESY
)
,
Marcus Sperling
(
- Vienna U.
)

Dec 19, 2023

47 pages

Published in:

Phys.Rev.D 110 (2024) 12, 126016

Published: Dec 15, 2024

e-Print:

2312.12510 [hep-th]

DOI:

10.1103/PhysRevD.110.126016 (publication)

Report number:

DESY-23-215

View in:

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Abstract: (APS)

An intriguing class of 6D supersymmetric theories are known as little strings theories, which exhibit a rich network of T-dualities. A robust feature of these theories are their Higgs branches. Focusing on the little string theories that are realized on a single curve of zero self-intersection, we utilize brane systems to derive the magnetic quivers. Using a variety of techniques (including branching rules, brane dynamics, F-theory geometry, quiver subtraction, and the decay and fission algorithm), we detail the Higgs branch Hasse diagram and determine the transverse slices for every elementary Higgs branch RG-flow. Building on these insights, we pursue two directions: first, we infer potential T-dual models by linking changes in 2-group structure constants along Higgs branch RG-flows to the RG-flow transition types encoded in the Hasse diagram. Second, we conjecture an algorithm for the non-Abelian flavor symmetry of the compactified little string theory by inspecting the magnetic quivers of all T-dual frames.

Note:

40 pages + appendix

symmetry: flavor
quiver
T-duality
membrane model
string model
string
network
geometry
compactification
nonabelian

References(99)

Figures(0)

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