Vector Bundles on Calabi-Yau Manifolds

Supersymmetric vacua of the heterotic string and M-theory are explored through the study of complex algebraic geometry.  The figure is from a recent paper by Prof. Burt Ovrut and collaborators on the Kahler cone substructure associated with the SU(2) bundle for different Kahler moduli.

Antibody Functionalized Sensor

Schematic of an antibody-functionalized graphene FET sensor.  Prof. Charlie Johnson functionalizes a graphene strip with an antibody to a Lyme disease biomarker protein.  The insulating substrate is shown in pink.  When antigen molecules bind to the antibody, the electrical characteristics of the FET are altered.

CNT Transistor with Antibodies

Prof. Charlie Johnson's lab has produced new experiments demonstrating that carbon nanotube transistors (CNT) can detect minute quantities of biomarkers of diseases in less time than conventional methods.  Antibodies attached to 
CNT on a silicon chip change the electrical properties of the chip upon antibody-antigen binding hence detecting disease biomarkers.

Self-assembling Building Blocks

Self-assembling building blocks occur in a diverse set of supramolecular, macromolecular, and other complex systems that impact numerous fields such as industrial dyes and pigments, xerographic receptors, organic semiconductors, transistors, light-emitting diodes and solar cells.  Prof. Paul Heiney collaborates with chemists and material scientists on the study of such molecular systems.

 

Quintic Calabi-Yau manifold

In superstring theory, the fundamental building block is an extended object, namely a string, whose vibrations would give rise to the particles encountered in nature. In order to solve certain classic problems of unified gauge theories, the 4-dimensional effective theory should be in a space which is a Calabi-Yau manifold of complex dimension 3.

 

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