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That is not available in C++03 (the current standard).
That is part of the C++0x draft standard but that's not readily available just yet.
For now, you just have to quote it explicitly:
const std::string _literal = "I have to escape my quotes in \"C++03\"";
Once C++0x becomes reality, you'll be able to write:
const std::string _literal = R"(but "C++0x" has raw string literals)";
and when you need )" in your literal:
const std::string _literal = R"DELIM(more "(raw string)" fun)DELIM";