Misaligned supersymmetry and open strings
Niccolò Cribiori, Susha Parameswaran, Flavio Tonioni, Timm Wrase
Abstract
A bstract The study of non-supersymmetric string theories is shedding light on an important corner of the string landscape and might ultimately explain why, so far, we did not observe supersymmetry in our universe. We review how misaligned supersymmetry in closed-string theories leads to a cancellation between bosons and fermions even in non-supersymmetric string theories. We then show that the same cancellation takes place for open strings by studying an anti-D p -brane placed on top of an O p -plane in type II string theory. Misaligned supersymmetry consists in cancellations between bosons and fermions at different energy levels, in such a way that the averaged number of states grows at a rate dominated by a factor $$ {\mathrm{e}}^{C_{\mathrm{e}\mathrm{ff}}\sqrt{n}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>eff</mml:mi></mml:msub><mml:msqrt><mml:mi>n</mml:mi></mml:msqrt></mml:mrow></mml:msup></mml:math> , with C eff < C tot , where C tot is the inverse Hagedorn temperature. We prove the previously conjectured complete cancellation, i.e. we prove that C eff = 0, for a vast class of models.