What math do you need to know for string theory?

String theorists need to know algebraic geometry , algebraic topology , moduli spaces , characteristic classes etc.

What is prerequisite to string theory?

To learn the basics you need to understand in a reasonable level classical mechanics, quantum mechanics and special relativity. The conformal field theory you need will be presented on the string theory textbooks.

What kind of math is basic math?

Basic math is nothing but the simple or basic concept related with mathematics. Generally, counting, addition, subtraction, multiplication and division are called the basic math operation.

Is number theory the hardest math?

These Are the 10 Toughest Math Problems Ever Solved

• The Collatz Conjecture. Dave Linkletter.
• Goldbach’s Conjecture Creative Commons.
• The Twin Prime Conjecture.
• The Riemann Hypothesis.
• The Birch and Swinnerton-Dyer Conjecture.
• The Kissing Number Problem.
• The Unknotting Problem.
• The Large Cardinal Project.

Why is string theory difficult?

The strings are so small, in fact, that they appear to us to be point-like particles, such as electrons and photons and neutrons. But even if we could devise a particle collider to directly probe the energies of quantum gravity, we couldn’t test string theory, because as of yet string theory isn’t complete.

What kind of math do I need to study string theory?

“Advanced Mathematics”: String theory usually builds on this with at the very least a little algebraic geometry. If you take cues from people on the nLab, category theory can be big in string theory. Pick any combination of differential/algebraic and geometry/topology and it will be useful in string theory. Number theory as well.

How many parameters are there in string theory?

String theory has only one unknown parameter, which corresponds to the string length, which presumably is of order lp, but can be fixed by the one and only one measurement that string theory necessitates before it can be used to make predictions.

What is a string in physics?

A string is a special case of a p-brane, where a p-brane is a pdimensional object moving through a D(D≥p) dimensional spacetime. For example: •a 0-brane is a point particle, •a 1-brane is a string, •a 2-brane is a membrane . Before looking at strings, let’s review the classical theory of 0-branes, i.e. point particles.

What are branes in string theory?

String theory is not only a theory of fundamental one-dimensional strings, but there are also a variety of other objects, called branes, of various dimensionalities. The list of possible branes, and their stability properties, depends on the specific theory and its vacuum configuration under consideration.