Abstract: The existence of a close mathematical relationship between Euclidean minimal surfaces and the spacetime dynamics of relativistic strings has been established. I will study the correspondences between significant physical properties of strings and mathematical properties of surfaces in the setting of this relationships. I will apply techniques from string theory, including the light-cone gauge transformation, in order to generate Euclidean minimal surfaces. Similarly, I will apply techniques from minimal surface theory such as the Weierstrass-Enneper parameterization in order to generate string solutions. The above phenomena will be studied in flat 3-d space, with a further goal of also exploring the characteristics of this same correspondence in higher-dimensional and curved spaces.
I am supported in this research by the Department of Physics and Astronomy, as well as by the guidance of Professor Neil Comins of the University of Maine, and Professor Matthew Kleban of NYU. I am happy to answer any questions relating to this work, and may be reached at graham.van@maine.edu.
Project Documents:
I am supported in this research by the Department of Physics and Astronomy, as well as by the guidance of Professor Neil Comins of the University of Maine, and Professor Matthew Kleban of NYU. I am happy to answer any questions relating to this work, and may be reached at graham.van@maine.edu.
Project Documents: