|Budget Amount *help
¥18,980,000 (Direct Cost: ¥14,600,000、Indirect Cost: ¥4,380,000)
Fiscal Year 2013: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2012: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2009: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
We discovered a new class of duality in two dimensional supersymmetric gauge theories. Employing the duality, we constructed a new class of superstring vacua, and provided mathematical conjectures on D-brane categories. Also, we succeeded in exactly computing the partition functions of such gauge theories, and obtained a general formula for the D-brane central charge and the elliptic genera. In addition, we obtained a general rule to determine the degrees of freedom on D-branes and gave a proof of the rule of T-duality action on D-branes. By these results, a new method to study the vacuum structure and the low energy effective theory of superstring compactifications is established.