How Long to Read On Axiomatic Approaches to Vertex Operator Algebras and Modules

By Igor Frenkel

How Long Does it Take to Read On Axiomatic Approaches to Vertex Operator Algebras and Modules?

It takes the average reader 1 hour and 5 minutes to read On Axiomatic Approaches to Vertex Operator Algebras and Modules by Igor Frenkel

Assuming a reading speed of 250 words per minute. Learn more

Description

The notion of vertex operator algebra arises naturally in the vertex operator construction of the Monster - the largest sporadic finite simple group. From another perspective, the theory of vertex operator algebras and their modules forms the algebraic foundation of conformal field theory. Vertex operator algebras and conformal field theory are now known to be deeply related to many important areas of mathematics. This essentially self-contained monograph develops the basic axiomatic theory of vertex operator algebras and their modules and intertwining operators, following a fundamental analogy with Lie algebra theory. The main axiom, the 'Jacobi(-Cauchy) identity', is a far-reaching analog of the Jacobi identity for Lie algebras.The authors show that the Jacobi identity is equivalent to suitably formulated rationality, commutativity, and associativity properties of products of quantum fields. A number of other foundational and useful results are also developed. This work was originally distributed as a preprint in 1989, and in view of the current widespread interest in the subject among mathematicians and theoretical physicists, its publication and availability should prove no less useful than when it was written.

How long is On Axiomatic Approaches to Vertex Operator Algebras and Modules?

On Axiomatic Approaches to Vertex Operator Algebras and Modules by Igor Frenkel is 64 pages long, and a total of 16,256 words.

This makes it 22% the length of the average book. It also has 20% more words than the average book.

How Long Does it Take to Read On Axiomatic Approaches to Vertex Operator Algebras and Modules Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 28 minutes to read On Axiomatic Approaches to Vertex Operator Algebras and Modules aloud.

What Reading Level is On Axiomatic Approaches to Vertex Operator Algebras and Modules?

On Axiomatic Approaches to Vertex Operator Algebras and Modules is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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