Results 41 to 50 of about 123,296 (287)

Lectures on BCOV holomorphic anomaly equations [PDF]

, 2015
The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lectures the authors gave at the Fields Institute in the Thematic Program of ...
A. Popa, A. Strominger, B.H. Lian, B.R. Greene, C. Faber, D. Freed, D. Morrison, E. Witten, H. Fang, I. Antoniadis, M. Alim, M. Bershadsky, M. Kaneko, M. Kapranov, P. Candelas, S. Hosono, S. Yamaguchi, T. Chiang, V.V. Batyrev   +18 more
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On vacuum fluctuations in quantum gravity and interferometer arm fluctuations

Physics Letters B, 2022
We propose a simple model of spacetime vacuum fluctuations motivated by AdS/CFT, where the vacuum is described by a thermal density matrix, ρ=e−KTr(e−K) with K the modular Hamiltonian. In AdS/CFT, both the expectation value of K and its fluctuations 〈ΔK2〉
Kathryn M. Zurek
doaj   +1 more source

Common fixed point theorems for several multivalued mappings on proximinal sets in regular modular space

Journal of Inequalities and Applications, 2021
In this paper, we found a common fixed point for several multivalued mappings on proximinal sets in regular modular metric space. Also, we introduced the notions of conjoint F-proximinal contraction as well as conjoint F-proximinal contraction of Hardy ...
N. Faried, H. Abd El-Ghaffar, S. Hamdy
doaj   +1 more source

Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

Mathematics, 2023
The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces.
Yahya Almalki, Balaanandhan Radhakrishnan, Uma Jayaraman, Kandhasamy Tamilvanan   +3 more
doaj   +1 more source

Fixed‐Point Theorems for Multivalued Mappings in Modular Metric Spaces [PDF]

Abstract and Applied Analysis, 2012
We give some initial properties of a subset of modular metric spaces and introduce some fixed‐point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.
Parin Chaipunya, Chirasak Mongkolkeha, Wutiphol Sintunavarat, Poom Kumam   +3 more
openaire   +4 more sources

Modular Frobenius manifolds and their invariant flows [PDF]

, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map $I$ which send a Frobenius manifold to another Frobenius manifold.
Morrison, Ewan K., Strachan, Ian A. B.
core   +2 more sources

On Asymptotic Pointwise Contractions in Modular Metric Spaces [PDF]

Abstract and Applied Analysis, 2013
In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.
openaire   +3 more sources

Analysis of Caputo-Type Non-Linear Fractional Differential Equations and Their Ulam–Hyers Stability

Fractal and Fractional
This study presents two novel frameworks, termed a quasi-modular b-metric space and a non-Archimedean quasi-modular b-metric space, and various topological properties are provided.
Ekber Girgin, Abdurrahman Büyükkaya, Neslihan Kaplan Kuru, Mudasir Younis, Mahpeyker Öztürk   +4 more
doaj   +1 more source

Modular Inflation Observables and $j$-Inflation Phenomenology [PDF]

, 2017
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and ...
Schimmrigk, Rolf
core   +1 more source

Unitary Equivalence of the Metric and Holonomy Formulations of 2+1 Dimensional Quantum Gravity on the Torus

, 1992
Recent work on canonical transformations in quantum mechanics is applied to transform between the Moncrief metric formulation and the Witten-Carlip holonomy formulation of 2+1-dimensional quantum gravity on the torus.
A. Anderson, A. Anderson, A. Anderson, A. Ashtekar, A. Ashtekar, A. Hosoya, A. Hosoya, Arlen Anderson, C. G. Callan, C. J. Isham, C. J. Isham, D. Giulini, E. Martinec, E. Witten, H. Iwaniec, J. B. Hartle, J. L. Friedman, L. Landau, M. G. G. Laidlaw, M. Visser, N. Manojlovic, R. Jackiw, R. Jackiw, S. Carlip, S. Carlip, S. Carlip, S. Carlip, V. Moncrief   +27 more
core   +1 more source