scholarly journals Exact Kähler potential from gauge theory and mirror symmetry

2013 ◽  
Vol 2013 (4) ◽  
Author(s):  
Jaume Gomis ◽  
Sungjay Lee
Keyword(s):  
Gauge Theory ◽  
Mirror Symmetry ◽  
Kähler Potential

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

scholarly journals PLANAR HOMOLOGICAL MIRROR SYMMETRY

2007 ◽  
Vol 22 (29) ◽  
pp. 5351-5368 ◽  
Author(s):  
EIJI KONISHI
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Associative Algebra ◽  
String Field Theory ◽  
Mirror Symmetry ◽  
Open String ◽  
Homological Mirror Symmetry ◽  
Chern Simons

In this paper, we formulate a planar limited version of the B-side in homological mirror symmetry that formularizes Chern–Simons-type topological open string field theory using homotopy associative algebra (A∞ algebra). This formulation is based on the works by Dijkgraaf and Vafa. We show that our formularization includes gravity/gauge theory correspondence which originates in the AdS/CFT duality of Dijkgraaf–Vafa theory.

scholarly journals Calabi-Yau mirror symmetry as a gauge theory duality

2000 ◽  
Vol 17 (5) ◽  
pp. 919-927 ◽  
Author(s):  
Mina Aganagic ◽  
Andreas Karch
Keyword(s):  
Gauge Theory ◽  
Mirror Symmetry

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 Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons, and Mirror Symmetry

2017 ◽  
Vol 2017 ◽  
pp. 1-27
Author(s):  
Hyun Seok Yang ◽  
Sangheon Yun
Keyword(s):  
Gauge Theory ◽  
Riemannian Manifolds ◽  
Mirror Symmetry ◽  
Vector Spaces ◽  
Spinor Representation ◽  
Yang Mills ◽  
Spin Manifolds ◽  
Mirror Pair ◽  
Irreducible Spinor ◽  
Calabi Yau Manifolds

We address the issue of why Calabi-Yau manifolds exist with a mirror pair. We observe that the irreducible spinor representation of the Lorentz group Spin(6) requires us to consider the vector spaces of two forms and four forms on an equal footing. The doubling of the two-form vector space due to the Hodge duality doubles the variety of six-dimensional spin manifolds. We explore how the doubling is related to the mirror symmetry of Calabi-Yau manifolds. Via the gauge theory formulation of six-dimensional Riemannian manifolds, we show that the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian Yang-Mills equations on the Calabi-Yau manifold. Therefore, the mirror symmetry of Calabi-Yau manifolds can be recast as the mirror pair of Hermitian Yang-Mills instantons. We discuss the mirror symmetry from the gauge theory perspective.

scholarly journals Completing the eclectic flavor scheme of the ℤ2 orbifold

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Alexander Baur ◽  
Moritz Kade ◽  
Hans Peter Nilles ◽  
Saúl Ramos-Sánchez ◽  
Patrick K. S. Vaudrevange
Keyword(s):  
Particle Physics ◽  
Mirror Symmetry ◽  
Predictive Power ◽  
Two Dimensional ◽  
Top Down ◽  
Flavor Symmetries ◽  
Flavor Structure ◽  
Modular Transformations ◽  
Kähler Potential ◽  
Matter Fields

Abstract We present a detailed analysis of the eclectic flavor structure of the two-dimensional ℤ2 orbifold with its two unconstrained moduli T and U as well as SL(2, ℤ)T× SL(2, ℤ)U modular symmetry. This provides a thorough understanding of mirror symmetry as well as the R-symmetries that appear as a consequence of the automorphy factors of modular transformations. It leads to a complete picture of local flavor unification in the (T, U) modulus landscape. In view of applications towards the flavor structure of particle physics models, we are led to top-down constructions with high predictive power. The first reason is the very limited availability of flavor representations of twisted matter fields as well as their (fixed) modular weights. This is followed by severe restrictions from traditional and (finite) modular flavor symmetries, mirror symmetry, $$ \mathcal{CP} $$ CP and R-symmetries on the superpotential and Kähler potential of the theory.

High Resolution Electron Microscopy of internal interfaces in layered materials

1990 ◽  
Vol 48 (4) ◽  
pp. 320-321
Author(s):  
Yoichi Ishida ◽  
Hideki Ichinose ◽  
Yutaka Takahashi ◽  
Jin-yeh Wang
Keyword(s):  
Grain Boundaries ◽  
Mirror Symmetry ◽  
Functional Materials ◽  
High Resolution Electron Microscopy ◽  
Layered Materials ◽  
Plane Boundary ◽  
Chemical Information ◽  
Layer Plane ◽  
High Tc ◽  
Cubic Metals

Layered materials draw attention in recent years in response to the world-wide drive to discover new functional materials. High-Tc superconducting oxide is one example. Internal interfaces in such layered materials differ significantly from those of cubic metals. They are often parallel to the layer of the neighboring crystals in sintered samples(layer plane boundary), while periodically ordered interfaces with the two neighboring crystals in mirror symmetry to each other are relatively rare. Consequently, the atomistic features of the interface differ significantly from those of cubic metals. In this paper grain boundaries in sintered high-Tc superconducting oxides, joined interfaces between engineering ceramics with metals, and polytype interfaces in vapor-deposited bicrystal are examined to collect atomic information of the interfaces in layered materials. The analysis proved that they are not neccessarily more complicated than that of simple grain boundaries in cubic metals. The interfaces are majorly layer plane type which is parallel to the compound layer. Secondly, chemical information is often available, which helps the interpretation of the interface atomic structure.

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