Towards a noncommutative geometric approach to matrix compactification

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Towards a Noncommutative Geometric Approach to Matrix Compactification

In this paper we study generic M(atrix) theory compactifications that are specified by a set of quotient conditions. A procedure is proposed, which both associates an algebra to each compactification and leads deductively to general solutions for the matrix variables. The notion of noncommutative geometry on the dual space is central to this construction. As examples we apply this procedure to ...

متن کامل

Matrix Theory Compactification on Noncommutative T

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold Tθ/Z2. First, we explicitly construct a bundle with constant curvature connections on a noncommutative Tθ following Rieffel’s method. Then, applying the appropriate quotient conditions for its Z2 orbifold, we find a Connes-Douglas-Schwarz type solution of matrix theory compactified on Tθ/Z2. When we consider two cop...

متن کامل

Noncommutative Geometry and Matrix Theory: Compactification on Tori

We study toroidal compactification of Matrix theory, using ideas and results of noncommutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification of these backgrounds, and argue that they correspond in supergravity to tori with constant background three-form tensor field. The paper includes an introduction for mathematicians to the IKKT form...

متن کامل

A Geometric Approach to Matrix Ordering

We present a recursive way to partition hypergraphs which creates and exploits hypergraph geometry and is suitable for many-core parallel architectures. Such partitionings are then used to bring sparse matrices in a recursive Bordered Block Diagonal form (for processor-oblivious parallel LU decomposition) or recursive Separated Block Diagonal form (for cache-oblivious sparse matrix–vector multi...

متن کامل

Another Alternative to Compactification: Noncommutative Geometry and Randall-Sundrum Models

We observe that the main feature of the Randall–Sundrum model, used to solve the hierarchy problem, is already present in a class of Yang–Mills plus gravity theories inspired by noncommutative geometry. Strikingly the same expression for the Higgs potential is found in two models which have no apparent connection. Some speculations concerning the possible relationships are given. ∗[email protected]...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review D

سال: 1998

ISSN: 0556-2821,1089-4918

DOI: 10.1103/physrevd.58.026006