DE-type little strings from glued brane webs - INSPIRE

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DE-type little strings from glued brane webs

Xing-Yue Wei
(
- UESTC, Chengdu
)
,
Yuji Sugimoto
(
- POSTECH
)
,
Futoshi Yagi
(
- Southwest Jiaotong U.
)
,
Sung-Soo Kim
(
- UESTC, Chengdu
)

Dec 14, 2022

97 pages

Published in:

JHEP 05 (2023) 214

Published: May 26, 2023

e-Print:

2212.07344 [hep-th]

DOI:

10.1007/JHEP05(2023)214

View in:

ADS Abstract Service

reference search7 citations

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Abstract: (Springer)

We propose brane web configurations for D-type and E-type

\mathcal{N}

=(1,0) little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri-/quadri-valent gluing is a powerful way of computing 5d/6d partition functions for supersymmetric gauge theories based on the topological vertex. We generalize the gluing techniques to little string theories by introducing a new compact direction and compute their supersymmetric partition functions on Omega-deformed ℝ

^{4}

×T

^{2}

. As concrete examples, we consider little string theories arising from Type IIB NS5-branes probing D

_{4}

or D

_{5}

singularity. Their effective gauge theory descriptions as the affine D

_{4}

or D

_{5}

quiver gauge theory can be realized with quadrivalent or trivalent gluing, respectively. Based on these gluings of 5-brane webs, we compute their refined partition functions and compare them with the known results. We extend the computation of the partition function to little string theory engineered from IIB NS5-branes probing E

_{6}

singularity based on a trivalent gluing. We also discuss the generalization to higher rank cases and the symmetries of the partition functions.

Note:

v2: 97 pages, 32 figures, typos corrected and clarifications added

Brane Dynamics in Gauge Theories
Field Theories in Higher Dimensions
Supersymmetric Effective Theories
Topological Strings
gauge field theory: quiver
vertex: topological
gauge field theory: supersymmetry
partition function
string model
membrane model

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