$d$ locally indistinguishable maximally entangled states in   $\mathbb{C}^d\otimes\mathbb{C}^d$
  We give a explicit construction of $d$ locally indistinguishable orthogonal maximally entangled states in   $\mathbb{C}^d\otimes\mathbb{C}^d$ for any $d\geq 4$. This gives an answer to the conjecture proposed by   S. Bandyopadhyay in 2009. Thus it reflects the nonlocality of the fundamental feature of quantum mechanics. 
Mao-Sheng Li, Yan-Ling Wang, Shao-Ming Fei, Zhu-Jun Zheng
quant-ph