One reason many physicists find string theory attractive is that it is highly constrained. String Theory is almost as indispensible as a solid foundation of Quantum Field Theory if they want to follow the recent current developments. 1.2 The need for a quantum theory of gravity We now analyse in slightly greater detail the motivation to study a theory of strings as a funda-mental quantum theory of interactions. = qF i0 + qF ijv j (0.1) is satis ed then so is im d d˝ 1 p 1 v2!

String theory, often called the “theory of everything,” is a relatively young science that includes such unusual concepts as superstrings, branes, and extra dimensions. Oscillations of the closed string. String theory is a quantum theory in that the mass spectrum of strings is discrete, so string theory is an example of a quantum theory of gravity.

Solutions for String Theory 101 Lectures at the International School of Strings and Fundamental Physics Munich July 26 - August 6 2010 Neil Lambert Theory Division CERN 1211 Geneva 23 Switzerland Email: neil.lambert@cern.ch 1. Scientists are hopeful that string theory will unlock one of the biggest mysteries of the universe, namely how gravity and quantum physics fit together. Problem: Show that if m d d˝ vi p 1 v2! Love it or hate it, but you must know it! 1.2 What is String Theory 8 1.2.1 Types of String Theories 8 1.3 Outline of the Manuscript 9 2.



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