* New SPD leadership raises change for coalition break-up
* Conservatives urge SPD to stick with coalition agreement
* 'We stand by this coalition' - CDU's Kramp-Karrenbauer (Adds context, comments from CDU leaders)
By Holger Hansen
BERLIN, Dec 1 (Reuters) - The future of Germany's ruling coalition looked shaky after the election of new leaders of the Social Democrats (SPD) who are demanding a shift in policies, but several senior conservatives on Sunday ruled out talks to renegotiate a governing agreement.
Two strong leftist critics of the coalition with Chancellor Angela Merkel's conservatives - Norbert Walter-Borjans and Saskia Esken - won a vote for leadership of the Social Democrats on Saturday, possibly putting the country, Europe's largest economy, at a political crossroads.
Their ascendancy raises the chances of an early election or minority government if the SPD leaves the coalition, which could trigger political instability at a time when the far-right Alternative for Germany has become the country's third-largest party.
Walter-Borjans and Esken, who ran on a joint ticket, want to renegotiate the coalition deal to focus more on social justice, investment and climate policies, setting them on collision with Chancellor Angela Merkel's Christian Democrats (CDU).
"Of course nothing will be renegotiated now. That's quite clear," Armin Laschet, the Christian Democrat premier of North Rhine-Westphalia, Germany's most populous state, told broadcaster Deutschlandfunk in an interview.
Asked whether there was movement on the issues that the new SPD leadership wants to change in a new agreement, Laschet said: "There is no such thing."
Walter-Borjans and Esken beat Finance Minister Olaf Scholz and Klara Geywitz, who said they would support their rivals. SPD delegates are set to approve the leadership - elected via a party ballot that ended Saturday - at a party conference starting on Dec. 6. They will also vote on the coalition.
Members of the SPD expect that the duo will not recommend to leave the coalition but to seek more concessions from the CDU, including dropping the target for a balanced budget and raising the minimum wage.
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NO CHANCE FOR RENEGOTIATION
Laschet said new demands were a problem of the SPD duo, not of the Christian Democrats, saying holding fresh elections would be irresponsible in the current environment.
Conservative Agriculture Minister Julia Kloeckner also said there was no chance of renegotiations, adding the CDU would stick to the promises it made.
"A one-sided renegotiation, just because SPD leadership has changed, will not be doable with the (Christian Democratic) Union," she told Funke Mediengruppe. Her remarks echoed similar statements from CDU deputy leader Thomas Strobl in the Stuttgarter Zeitung newspaper.
Merkel, 65, has been in power since 2005 and has said she will not seek re-election at the next national election, due in 2021. The CDU is trying to boost its image and appeal to hold its position as the leading governing party after she goes.
Striking a slightly more conciliatory tone, Merkel's would-be successor, Annegret Kramp-Karrenbauer, urged the Social Democrats to remain part of the government, adding the current coalition agreement provided the basis to move forward.
"I think it is good that the SPD has made a decision," said Kramp-Karrenbauer, who as head of the CDU is hoping to succeed Merkel as chancellor.
"It paves the way to return to business. For the CDU it is quite clear: we stand by this coalition. We stand by this coalition on the basis that has been negotiated."
Conservative lawmaker Alexander Dobrindt of the Christian Social Union (CSU), the Bavarian sister party of Merkel's CDU, also said that there was no reason to end the coalition, according to an interview with the Augsburger Allgemeine paper.
(Additional reporting by Sabine Siebold and Andreas Rinke Writing by Christoph Steitz Editing by Frances Kerry)
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