scholarly journals On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups

2020 ◽  
Vol 148 (8) ◽  
pp. 3375-3380
Author(s):  
Emilio A. Lauret
Keyword(s):  
Lie Groups ◽  
Simple Lie Groups ◽  
Laplace Eigenvalue ◽  
Naturally Reductive ◽  
Naturally Reductive Metrics

scholarly journals Spectral isolation of naturally reductive metrics on simple Lie groups

2009 ◽  
Vol 266 (4) ◽  
pp. 979-995 ◽  
Author(s):  
Carolyn S. Gordon ◽  
Craig J. Sutton
Keyword(s):  
Lie Groups ◽  
Simple Lie Groups ◽  
Naturally Reductive ◽  
Naturally Reductive Metrics

Naturally reductive metrics and Einstein metrics on compact Lie groups

1979 ◽  
Vol 18 (215) ◽  
pp. 0-0 ◽  
Author(s):  
J. E. D’Atri ◽  
W. Ziller
Keyword(s):  
Lie Groups ◽  
Einstein Metrics ◽  
Compact Lie Groups ◽  
Naturally Reductive ◽  
Naturally Reductive Metrics

scholarly journals The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups

2021 ◽  
Vol 78 ◽  
pp. 101794
Author(s):  
Romina M. Arroyo ◽  
Artem Pulemotov ◽  
Wolfgang Ziller
Keyword(s):  
Lie Groups ◽  
Ricci Curvature ◽  
Compact Lie Groups ◽  
Naturally Reductive ◽  
Naturally Reductive Metrics ◽  
Curvature Problem

scholarly journals New non-naturally reductive Einstein metrics on exceptional simple Lie groups

2018 ◽  
Vol 124 ◽  
pp. 268-285
Author(s):  
Huibin Chen ◽  
Zhiqi Chen ◽  
Shaoqiang Deng
Keyword(s):  
Lie Groups ◽  
Einstein Metrics ◽  
Simple Lie Groups ◽  
Naturally Reductive

ON SIMPLE LIE GROUPS OF INFINITE DIMENSION II.

1964 ◽  
Vol 18 (1) ◽  
pp. 33-43 ◽  
Author(s):  
Satoru YAMAGUCHI
Keyword(s):  
Lie Groups ◽  
Infinite Dimension ◽  
Simple Lie Groups

scholarly journals Twisted 6d (2, 0) SCFTs on a circle

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Zhihao Duan ◽  
Kimyeong Lee ◽  
June Nahmgoong ◽  
Xin Wang
Keyword(s):  
Lie Groups ◽  
Point Of View ◽  
Partition Functions ◽  
Congruence Subgroups ◽  
Gauge Groups ◽  
Simple Lie Groups ◽  
Instanton Contribution ◽  
Elliptic Genera ◽  
Supersymmetric Gauge ◽  
The One

Abstract We study twisted circle compactification of 6d (2, 0) SCFTs to 5d $$ \mathcal{N} $$ N = 2 supersymmetric gauge theories with non-simply-laced gauge groups. We provide two complementary approaches towards the BPS partition functions, reflecting the 5d and 6d point of view respectively. The first is based on the blowup equations for the instanton partition function, from which in particular we determine explicitly the one-instanton contribution for all simple Lie groups. The second is based on the modular bootstrap program, and we propose a novel modular ansatz for the twisted elliptic genera that transform under the congruence subgroups Γ0(N) of SL(2, ℤ). We conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of the genus one fibered Calabi-Yau threefolds, upon which one can determine the twisted elliptic genera recursively. We use our results to obtain the 6d Cardy formulas and find universal behaviour for all simple Lie groups. In addition, the Cardy formulas remain invariant under the twist once the normalization of the compact circle is taken into account.

scholarly journals Simple Lie groups stabilizing G-invariant norms

2021 ◽  
Vol 609 ◽  
pp. 308-316
Author(s):  
Marcell Gaál ◽  
Robert M. Guralnick
Keyword(s):  
Lie Groups ◽  
Simple Lie Groups

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type

2020 ◽  
Vol 7 (4) ◽  
Author(s):  
Tudor S. Ratiu ◽  
Daisuke Tarama
Keyword(s):  
Rigid Body ◽  
Lie Groups ◽  
Geodesic Flows ◽  
Body Type ◽  
Simple Lie Groups ◽  
Real Forms

scholarly journals The index of compact simple Lie groups

2017 ◽  
Vol 49 (5) ◽  
pp. 903-907 ◽  
Author(s):  
Jürgen Berndt ◽  
Carlos Olmos
Keyword(s):  
Lie Groups ◽  
Simple Lie Groups
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