DECLARE @TableName sysname
SET @TableName = 'dbo.tableName'
SELECT
u.[name] AS UserName
, l.[Begin Time] AS TransactionStartTime
FROM
fn_dblog(NULL, NULL) l
INNER JOIN
(
SELECT
[Transaction ID]
FROM
fn_dblog(NULL, NULL)
WHERE
AllocUnitName LIKE @TableName + '%'
AND
Operation = 'LOP_DELETE_ROWS'
) deletes
ON deletes.[Transaction ID] = l.[Transaction ID]
INNER JOIN
sysusers u
ON u.[sid] = l.[Transaction SID]