| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Research Abstract |
Integrability has become of increasing importance in obtaining analytic, exact results in gauge and string theories. In this research project we clarified several integrable structures in gauge and string theories and made full use of them to obtain analytic results. More specifically, we studied gluon scattering amplitudes at strong coupling in the maximally supersymmetric gauge theory in four dimensions. The gauge-gravity correspondence relates the amplitudes to the areas of certain minimal surfaces. Based on this correspondence we formulated a method of computing a general class of gluon scattering amplitudes by means of two-dimensional conformal field theories. We also studied the E-string theory, which is one of the simplest consistent supersymmetric field theories in six dimensions. We constructed a closed expression for the BPS partition function of the E-string theory toroidally compactified down to four dimensions and elucidated its properties.
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