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Lakshya
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What are these groups like SU(2) and E8XE8 etc. Can anybody explain it with full details and also give pre-requisite knowledge.
SU(2) is a mathematical concept known as a "special unitary group." It represents a type of symmetry that is important in many areas of physics, including quantum mechanics and particle physics.
E8xE8 is a mathematical group that arises in the study of string theory. It is a combination of two E8 groups, which are the largest and most complex of the exceptional Lie groups.
These groups are used in theoretical physics to describe symmetries and interactions of particles at the fundamental level. They are also important in the study of string theory and other areas of theoretical physics.
These groups provide a framework for understanding the fundamental laws and symmetries that govern the universe. They help scientists develop theories and make predictions about the behavior of particles and forces at the smallest scales.
While these groups are primarily used in theoretical physics, they have also found applications in other fields such as computer science and cryptography. For example, E8xE8 has been used in the development of error-correcting codes for secure communication.