Skip to main content
 

MATH43820: Superstrings

It is possible that changes to modules or programmes might need to be made during the academic year, in response to the impact of Covid-19 and/or any further changes in public health advice.

Type Tied
Level 4
Credits 20
Availability Available in 2024/2025
Module Cap None.
Location Durham
Department Mathematical Sciences

Prerequisites

  • None

Corequisites

  • Advanced Quantum Theory

Excluded Combinations of Modules

  • None

Aims

  • This module is an introduction to String Theory, including supersymmetry and Superstring Theory.
  • To introduce superstring theory through its two-dimensional worldsheet conformal field theory.
  • To quantise string theory and show that the superstring spectrum includes all elementary particles thus unifying the fundamental forces including gravity.

Content

  • Classical String Theory.
  • Quantisation of String worldsheet theory.
  • String theory spectrum and spacetime interpretation.
  • T-duality and D-branes.
  • Supersymmetry.
  • Superstring theory.

Learning Outcomes

Subject-specific Knowledge:

  • Having studied the module students will know the basic principles of worldsheet (super)string theory.
  • The relation between the (super)string worldsheet theory and spacetime fields which are de-scribed using quantum field theory in the corequisite modules.
  • The concept of duality whereby apparently different theories are equivalent, with T-duality as an example.

Subject-specific Skills:

  • Students will be able to apply a variety of advanced techniques in the area of string theory.
  • Students will be able to how symmetries and constraints of the worldsheet theory lead, af-ter quantisation, to a specific spectrum with a spacetime interpretation.

Key Skills:

  • The students will have developed the ability to operate in complex and specialised contexts close to the cutting edge of current research.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • Lectures demonstrate what is required to be learned and the application of the theory to practical examples.
  • Subject material assigned for independent study develops the ability to acquire knowledge and understanding without dependence on lectures.
  • Assignments for self-study develop problem-solving skills and enable students to test and develop their knowledge and understanding.
  • Formatively assessed assignments provide practice in the application of logic and high level of rigour as well as feedback for the students and the lecturer on students' progress.
  • The end-of-year examination assesses the knowledge acquired and the ability to solve predictable and unpredictable problems.

Teaching Methods and Learning Hours

ActivityNumberFrequencyDurationTotalMonitored
Lectures422 per week in Michaelmas and Epiphany; 2 in Easter1 Hour42 
Problems Classes8Fortnightly in Michaelmas and Epiphany1 Hour8 
Preparation and Reading150 
Total200 

Summative Assessment

Component: ExaminationComponent Weighting: 100%
ElementLength / DurationElement WeightingResit Opportunity
End of year written examination3 hours100 

Formative Assessment

Eight written assignments to be assessed and returned. Other assignments are set for self-study and complete solutions are made available to students.

More information

If you have a question about Durham's modular degree programmes, please visit our Help page. If you have a question about modular programmes that is not covered by the Help page, or a query about the on-line Postgraduate Module Handbook, please contact us.

Prospective Students: If you have a query about a specific module or degree programme, please Ask Us.

Current Students: Please contact your department.