scholarly journals Energy and asymptotics of Ricci-flat 4-manifolds with a Killing field

2019 ◽  
Vol 147 (7) ◽  
pp. 3117-3130
Author(s):  
Brian Weber
Keyword(s):  
Killing Field ◽  
Ricci Flat

Existence of left invariant Ricci flat metrics on nilpotent Lie groups

2021 ◽  
Author(s):  
Yujian Xiang ◽  
Zaili Yan
Keyword(s):  
Lie Groups ◽  
Nilpotent Lie Groups ◽  
Ricci Flat

scholarly journals Long way to Ricci flatness

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Jin Chen ◽  
Chao-Hsiang Sheu ◽  
Mikhail Shifman ◽  
Gianni Tallarita ◽  
Alexei Yung
Keyword(s):  
Sigma Model ◽  
Ultra Violet ◽  
The Other ◽  
Target Space ◽  
Linear Sigma Model ◽  
Close Relative ◽  
Two Dimensional ◽  
World Sheet ◽  
Ricci Flat ◽  
The World

Abstract We study two-dimensional weighted $$ \mathcal{N} $$ N = (2) supersymmetric ℂℙ models with the goal of exploring their infrared (IR) limit. 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) are simplified versions of world-sheet theories on non-Abelian strings in four-dimensional $$ \mathcal{N} $$ N = 2 QCD. In the gauged linear sigma model (GLSM) formulation, 𝕎ℂℙ(N,$$ \tilde{N} $$ N ˜ ) has N charges +1 and $$ \tilde{N} $$ N ˜ charges −1 fields. As well-known, at $$ \tilde{N} $$ N ˜ = N this GLSM is conformal. Its target space is believed to be a non-compact Calabi-Yau manifold. We mostly focus on the N = 2 case, then the Calabi-Yau space is a conifold. On the other hand, in the non-linear sigma model (NLSM) formulation the model has ultra-violet logarithms and does not look conformal. Moreover, its metric is not Ricci-flat. We address this puzzle by studying the renormalization group (RG) flow of the model. We show that the metric of NLSM becomes Ricci-flat in the IR. Moreover, it tends to the known metric of the resolved conifold. We also study a close relative of the 𝕎ℂℙ model — the so called zn model — which in actuality represents the world sheet theory on a non-Abelian semilocal string and show that this zn model has similar RG properties.

scholarly journals The Global Sections of Chiral de Rham Complexes on Compact Ricci-Flat Kähler Manifolds

2021 ◽  
Vol 382 (1) ◽  
pp. 351-379
Author(s):  
Bailin Song
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Ricci Flat ◽  
De Rham

scholarly journals On supersymmetric AdS4 orientifold vacua

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Fernando Marchesano ◽  
Eran Palti ◽  
Joan Quirant ◽  
Alessandro Tomasiello
Keyword(s):  
String Theory ◽  
Cosmological Constant ◽  
Bianchi Identities ◽  
Expansion Parameter ◽  
First Order ◽  
Ricci Flat ◽  
Key Features ◽  
One To One ◽  
Calabi Yau Manifolds

Abstract In this work we study ten-dimensional solutions to type IIA string theory of the form AdS4 × X6 which contain orientifold planes and preserve $$ \mathcal{N} $$ N = 1 supersymmetry. In particular, we consider solutions which exhibit some key features of the four-dimensional DGKT proposal for compactifications on Calabi-Yau manifolds with fluxes, and in this sense may be considered their ten-dimensional uplifts. We focus on the supersymmetry equations and Bianchi identities, and find solutions to these that are valid at the two-derivative level and at first order in an expansion parameter which is related to the AdS cosmological constant. This family of solutions is such that the background metric is deformed from the Ricci-flat one to one exhibiting SU(3) × SU(3)-structure, and dilaton gradients and warp factors are induced.

scholarly journals Perelman’s lambda-functional and the stability of Ricci-flat metrics

2011 ◽  
Vol 45 (3-4) ◽  
pp. 481-504 ◽  
Author(s):  
Robert Haslhofer
Keyword(s):  
Ricci Flat ◽  
The Stability

Ricci-flat compactifications in superstring theory and coxeter automorphisms. II

1988 ◽  
Vol 77 (3) ◽  
pp. 1247-1259
Author(s):  
D. G. Markushevich ◽  
M. A. Ol'shanetskii ◽  
A. M. Perelomov
Keyword(s):  
Superstring Theory ◽  
Ricci Flat

Holomorphic deformations of the Ricci-flat $$\partial \overline \partial $$ -manifolds

2016 ◽  
Vol 32 (6) ◽  
pp. 643-658
Author(s):  
Hai Sheng Liu
Keyword(s):  
Ricci Flat ◽  
Partial Manifolds

Conformally Ricci‐flat viscous fluids

1990 ◽  
Vol 31 (7) ◽  
pp. 1704-1706 ◽  
Author(s):  
B. O. J. Tupper
Keyword(s):  
Viscous Fluids ◽  
Ricci Flat

scholarly journals A Ricci-flat metric on D-brane orbifolds

1998 ◽  
Vol 433 (3-4) ◽  
pp. 307-317 ◽  
Author(s):  
Koushik Ray
Keyword(s):  
Ricci Flat ◽  
Flat Metric

scholarly journals Adiabatic limits of Ricci-flat Kähler metrics

2010 ◽  
Vol 84 (2) ◽  
pp. 427-453 ◽  
Author(s):  
Valentino Tosatti
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Adiabatic Limits ◽  
Ricci Flat
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