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19972025
most citedPlanck 2018 results. X. Constraints on inflation

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hep-th2021

Evaluation of Euler Number of Complex Grassmann Manifold G(k, N) via Mathai-Quillen Formalism

Shoichiro Imanishi, Masao Jinzenji, Ken Kuwata

In this paper, we provide a recipe for computing Euler number of Grassmann manifold G(k,N) by using Mathai-Quillen formalism (MQ formalism) and Atiyah-Jeffrey construction. Especia…

hep-th2019★ 4 cited

Resurgence of one-point functions in a matrix model for 2D type IIA superstrings

Tsunehide Kuroki, Fumihiko Sugino

In the previous papers, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond…

hep-th2016★ 7 cited

One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings

Tsunehide Kuroki, Fumihiko Sugino

In the previous paper, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond b…

hep-th2014

Non-Commutative Geometry in Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator

Kazuki Hasebe

We clarify relations between the higher dimensional quantum Hall effect and A-class topological insulator. In particular, we elucidate physical implications of the higher dimension…

hep-th2012★ 27 cited

Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids

Kazuki Hasebe

Fuzzy hyperboloids naturally emerge in the geometries of D-branes, twistor theory, and higher spin theories. In this work, we perform a systematic study of higher dimensional fuzzy…

hep-th2011★ 16 cited

Graded Hopf Maps and Fuzzy Superspheres

Kazuki Hasebe

We argue supersymmetric generalizations of fuzzy two- and four-spheres based on the unitary-orthosymplectic algebras, and , respectively. Supersymmetric vers…

hep-th2010★ 39 cited

Hopf Maps, Lowest Landau Level, and Fuzzy Spheres

Kazuki Hasebe

This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopol…

hep-th2009★ 29 cited

Split-Quaternionic Hopf Map, Quantum Hall Effect, and Twistor Theory

Kazuki Hasebe

Introducing a non-compact version of the Hopf map, we demonstrate remarkable close relations between quantum Hall effect and twistor theory. We first construct quantum Hall effect…

hep-th2008★ 22 cited

Hyperbolic Supersymmetric Quantum Hall Effect

Kazuki Hasebe

Developing a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid. Based on group theoretical methods, we first analyze…

hep-th2007★ 3 cited

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

Kazuki Hasebe

We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation…

hep-th2006★ 13 cited

Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid

Kazuki Hasebe

We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topologi…