Symmetry

3D mirror symmetry

In theoretical physics, 3D mirror symmetry is a version of mirror symmetry in 3-dimensional gauge theories with N=4 supersymmetry, or 8 supercharges. It was first proposed by and Nathan Seiberg, in their 1996 paper "Mirror symmetry in three-dimensional gauge theories", as a relation between pairs of 3-dimensional gauge theories, such that the Coulomb branch of the moduli space of one is the Higgs branch of the moduli space of the other. It was demonstrated using D-brane cartoons by and Edward Witten 4 months later, where they found that it is a consequence of S-duality in type IIB string theory. Four months later 3D mirror symmetry was extended to N=2 gauge theories resulting from supersymmetry breaking in N=4 theories. Here it was given a physical interpretation in terms of vortices. In 3-dimensional gauge theories, vortices are particles. BPS vortices, which are those vortices that preserve some supersymmetry, have masses which are given by the FI term of the gauge theory. In particular, on the Higgs branch, where the squarks are massless and condense yielding nontrivial vacuum expectation values (VEVs), the vortices are massive. On the other hand, Intriligator and Seiberg interpret the Coulomb branch of the gauge theory, where the scalar in the vector multiplet has a VEV, as being the regime where massless vortices condense. Thus the duality between the Coulomb branch in one theory and the Higgs branch in the dual theory is the duality between squarks and vortices. In this theory, the instantons are 't Hooft–Polyakov magnetic monopoles whose actions are proportional to the VEV of the scalar in the vector multiplet. In this case, instanton calculations again reproduce the nonperturbative super potential. In particular, in the N=4 case with SU(2) gauge symmetry, the metric on the moduli space was found by Nathan Seiberg and Edward Witten using holomorphy and supersymmetric nonrenormalization theorems several days before Intriligator and Seiberg's 3-dimensional mirror symmetry paper appeared. Their results were reproduced using standard instanton techniques. (Wikipedia).

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Alessandro Chiodo - Towards a global mirror symmetry (Part 1)

Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the i

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Reflectional Symmetry

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

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Reflecting a triangle over the y axis

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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How to reflect a figure over a line of symmetry ex 1

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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Reflecting a triangle over a line of symmetry

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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From playlist Physics - Reflection and Refraction

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Learn how to reflect a figure over a line of symmetry

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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Reflecting a figure over a line of symmetry when it is on both sides

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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How to reflect a line segment over the y=x line

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

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Geometric Langlands and 3d Mirror Symmetry (Lecture 2) by Sam Raskin

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Richard Rimanyi - Stable Envelopes, Bow Varieties, 3d Mirror Symmetry

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From playlist 2019 Theory Winter School

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From playlist Vortex Moduli - 2023

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Supersymmetric Ground States of 3rd N=4 Theories on a Riemann surface by Heeyeon Kim

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Viorica Patraucean: Mirror-symmetry in images and 3D shapes

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From playlist Mathematical Aspects of Computer Science

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3D Gauge Theories: Vortices and Vertex Algebras (Lecture 2) by Tudor Dimofte

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From playlist Vortex Moduli - 2023

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Geometric Langlands and 3d Mirror Symmetry (Lecture 1) by Sam Raskin

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

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Reflecting a triangle over the y=x line

👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of symmetry it is important to think of flipping the figure

From playlist Transformations

Related pages

Supersymmetry nonrenormalization theorems | Supersymmetry | Mirror symmetry (string theory) | Holomorph (mathematics) | Supercharge | Supersymmetry breaking | Instanton | Moduli (physics)