scholarly journals E8 quiver gauge theory and mirror symmetry

2001 ◽  
Vol 2001 (05) ◽  
pp. 021-021 ◽  
Author(s):  
Cecilia Albertsson ◽  
Björn Brinne ◽  
Ulf Lindström ◽  
Rikard von Unge
Keyword(s):  
Gauge Theory ◽  
Mirror Symmetry ◽  
Quiver Gauge Theory

scholarly journals The Volume of the Quiver Vortex Moduli Space

2021 ◽  
Author(s):  
Kazutoshi Ohta ◽  
Norisuke Sakai
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Riemann Surfaces ◽  
Gauge Theories ◽  
Target Space ◽  
Contour Integral ◽  
Quiver Gauge Theory ◽  
Volume Formula ◽  
Volume Operator ◽  
Space Volume

Abstract We study the moduli space volume of BPS vortices in quiver gauge theories on compact Riemann surfaces. The existence of BPS vortices imposes constraints on the quiver gauge theories. We show that the moduli space volume is given by a vev of a suitable cohomological operator (volume operator) in a supersymmetric quiver gauge theory, where BPS equations of the vortices are embedded. In the supersymmetric gauge theory, the moduli space volume is exactly evaluated as a contour integral by using the localization. Graph theory is useful to construct the supersymmetric quiver gauge theory and to derive the volume formula. The contour integral formula of the volume (generalization of the Jeffrey-Kirwan residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by the area of the Riemann surface divided by the intrinsic size of the vortex). We give some examples of various quiver gauge theories and discuss properties of the moduli space volume in these theories. Our formula are applied to the volume of the vortex moduli space in the gauged non-linear sigma model with CPN target space, which is obtained by a strong coupling limit of a parent quiver gauge theory. We also discuss a non-Abelian generalization of the quiver gauge theory and “Abelianization” of the volume formula.

scholarly journals The ABCDEFG of little strings

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Nathan Haouzi ◽  
Can Kozçaz
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Coulomb Gas ◽  
Conformal Block ◽  
Coulomb Branch ◽  
Quiver Gauge Theory ◽  
Codimension Two ◽  
Type Iib String Theory ◽  
Unified Description ◽  
Formula Type

Abstract Starting from type IIB string theory on an ADE singularity, the (2, 0) little string arises when one takes the string coupling gs to 0. In this setup, we give a unified description of the codimension-two defects of the little string, labeled by a simple Lie algebra $$ \mathfrak{g} $$ g . Geometrically, these are D5 branes wrapping 2-cycles of the singularity, subject to a certain folding operation when the algebra is non simply-laced. Equivalently, the defects are specified by a certain set of weights of $$ {}^L\mathfrak{g} $$ L g , the Langlands dual of $$ \mathfrak{g} $$ g . As a first application, we show that the instanton partition function of the $$ \mathfrak{g} $$ g -type quiver gauge theory on the defect is equal to a 3-point conformal block of the $$ \mathfrak{g} $$ g -type deformed Toda theory in the Coulomb gas formalism. As a second application, we argue that in the (2, 0) CFT limit, the Coulomb branch of the defects flows to a nilpotent orbit of $$ \mathfrak{g} $$ g .

scholarly journals Recursive relations for a quiver gauge theory

2006 ◽  
Vol 2006 (10) ◽  
pp. 026-026 ◽  
Author(s):  
Jaemo Park ◽  
Woojoo Sim
Keyword(s):  
Gauge Theory ◽  
Quiver Gauge Theory ◽  
Recursive Relations

scholarly journals Inherited duality and quiver gauge theory

2006 ◽  
Vol 10 (2) ◽  
pp. 159-179 ◽  
Author(s):  
Nick Halmagyi ◽  
Christian Römelsberger ◽  
Nicholas P. Warner
Keyword(s):  
Gauge Theory ◽  
Quiver Gauge Theory

scholarly journals Rank two quiver gauge theory, graded connections and noncommutative vortices

2006 ◽  
Vol 2006 (09) ◽  
pp. 054-054 ◽  
Author(s):  
Olaf Lechtenfeld ◽  
Alexander D Popov ◽  
Richard J Szabo
Keyword(s):  
Gauge Theory ◽  
Quiver Gauge Theory

scholarly journals Boundaries, mirror symmetry, and symplectic duality in 3d N = 4 $$ \mathcal{N}=4 $$ gauge theory

2016 ◽  
Vol 2016 (10) ◽  
Author(s):  
Mathew Bullimore ◽  
Tudor Dimofte ◽  
Davide Gaiotto ◽  
Justin Hilburn
Keyword(s):  
Gauge Theory ◽  
Mirror Symmetry ◽  
Symplectic Duality
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