7 papers
Gram--Wishart--Stiefel formulation of the , large-- gauge theory in 1D
Badis Ydri
We develop in this paper the Gram/Wishart/Stiefel formulation of the \(N=2\), large--\(d\) planar endpoint theory of the BFSS/BMN matrix quantum mechanics on the lattice, obtained…
A Double--Scaling Large--\(d\) Saddle of BFSS/BMN Matrix Quantum Mechanics
Badis Ydri
We study the large--\(d\) dynamics of the mass--deformed bosonic \(\mathrm{BFSS}_{d+1}\) matrix quantum mechanics using a Hubbard--Stratonovich localization of the Yang--Mills inte…
Endpoint formulation and Molien--Weyl structure for the \(N=2\), large--\(d\) BFSS/BMN models
Badis Ydri
We study the \(N=2\), large--\(d\) sector of BFSS/BMN-type matrix quantum mechanics on the lattice in the Gaussian regime. We develop a radial endpoint formulation in which the bul…
Molien--Weyl Singlet Counting and BFSS--Factorization in Gaussian Matrix QM
Badis Ydri
We study the singlet-sector structure of mass-deformed BFSS matrix quantum mechanics by combining the large--\(d\) Gaussian reduction with the Molien--Weyl projection. The…
Novel Phenomena in Noncommutative Field Theory: Emergent Geometry
Badis Ydri
Noncommutative field theory (NCFT) is an extension of quantum field theory (QFT) that redefines spacetime, replacing commuting coordinates with a noncommutative structure. This shi…
Quantum Black Holes and Gauge/Gravity Duality
Badis Ydri
From a conceptual point of view, this chapter may be viewed as an exercise in combining quantum field theory and general relativity in a controlled setting. Despite its apparent si…