No, if you did not sign a lease you are not liable for anything over and above the charges stated in the application (application fee? credit-check fee?). If this was a true "security deposit," then it should be returned to you. However, if it was a non-refundable deposit to hold the apartment during your application review, then the landlord can keep it. Take a look at your application for the appropriate language.
Further, you should immediately provide the landlord or management company notice in writing that you would like to withdraw your application and that you do not intend to sign a lease.
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Law Offices of Marshall D. Chriswell
714 Philadelphia St., Suite 200
Indiana, PA 15701
Marshall D. Chriswell is a civil practitioner with offices in Indiana and Clearfield Counties. Mr. Chriswell's practice emphasizes Wills & Estate Planning, Probate, Real Estate, and general civil disputes.
Mr. Chriswell provides free initial consultations, and will gladly meet clients in their homes upon request, including on the evenings or weekends.
This communication does not constitute legal advice and does not establish an attorney/client relationship. If you are seeking legal advice, feel free to contact our offices.