17 citations · 79 across the 25 of their papers we have counts for
12 papers · 1 filter
BPS R-balls in N=4 SYM on R X S^3, Quantum Hall Analogy and AdS/CFT Holography
Jian Dai, Xiao-Jun Wang, Yong-Shi Wu
In this paper, we propose a new approach to study the BPS dynamics in N=4 supersymmetric U(N) Yang-Mills theory on R X S^3, in order to better understand the emergence of gravity i…
Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
Jian Dai, Xiao-Jun Wang, Yong-Shi Wu
The LLM's 1/2 BPS solutions of IIB supergravity are known to be closely related to the integer quantum Hall droplets with filling factor , and the giant gravitons in the LLM g…
Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
Jian Dai, Yong-Shi Wu
With the deconstruction technique, the geometric information of a torus can be encoded in a sequence of orbifolds. By studying the Matrix Theory on these orbifolds as quiver mechan…
Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
Jian Dai, Yong-Shi Wu
In this paper we present a discrete, non-perturbative formulation for type IIB string theory. Being a supersymmetric quiver matrix mechanics model in the framework of M(atrix) theo…
Quiver Mechanics for Deconstructed Matrix String
Jian Dai, Yong-Shi Wu
In this paper we propose a quiver model of matrix quantum mechanics with 8 supercharges which, on a Higgs branch, deconstructs the worldsheet of Matrix String Theory. This discrete…
Dirac Neutrino Masses in NCG
Changhui Li, Haogang Ding, Jian Dai +1
Several models in NCG with mild changes to the standard model(SM)are introduced to discuss the neutrino mass problem. We use two constraints, Poincar duality and gauge a…
Noncommutative Differential Geometry and Classical Field Theory on Finite Groups
Jian Dai, Xing-Chang Song
Plan of this report is given below: 1. Motivation from Physical and Mathematical Point of View; 2. Differential Calculi on Finite Groups; 3. Metrics; 4. Lagrangian Field Theory and…
Canonical Differential Calculi For Finitely Generated Abelian Group and Their Fermionic Representations
Jian Dai, Xing-Chang Song
Canonical differential calculus is defined for finitely generated abelian group with an involution existing consistently. Two such canonical calculi are found out. Fermionic repres…
Wilson Action of Lattice Gauge Fields with An Additional Term from Noncommutative Geometry
Jian Dai, Xing-Chang Song
Differential structure of lattices can be defined if the lattices are treated as models of noncommutative geometry. The detailed construction consists of specifying a generalized D…
Dirac-Connes Operator on Discrete Abelian Groups and Lattices
Jian Dai, Xing-Chang Song
A kind of Dirac-Connes operator defined in the framework of Connes' NCG is introduced on discrete abelian groups; it satisfies a Junk-free condition, and bridges the NCG composed b…
Pythagoras' Theorem on a 2D-Lattice from a "Natural" Dirac Operator and Connes' Distance Formula
Jian Dai, Xing-Chang Song
One of the key ingredients of A. Connes' noncommutative geometry is a generalized Dirac operator which induces a metric(Connes' distance) on the state space. We generalize such a D…
Noncommutative Geometry of Lattice and Staggered Fermions
Jian Dai, Xing-Chang Song
Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using reductions in first order and second order of universal…