Taxation on Transfer of shares to another Demat Account

What will be the Tax implication when i transfer Shares from my old demat a/c to a new demat a/c with another broker.

Both Old and new demat a/c's have the same name and held singly.

The Shares in the Old demat a/c are held for more than 10 years, will i loose the long term capital gains benefit on transferring these shares to New Demat A/C??