Add SuperTokens authentication integration

- Install supertokens-auth-react, supertokens-node, supertokens-web-js
- Create frontend and backend SuperTokens configuration
- Add API route handler for auth endpoints
- Add SuperTokensProvider wrapper in root layout
- Create new auth component with SuperTokens UI
- Configure Google and GitHub OAuth providers
- Ready for SuperTokens core deployment

Co-authored-by: Cursor <cursoragent@cursor.com>

lib/supertokens/backendConfig.ts

@@ -0,0 +1,49 @@
+import ThirdPartyEmailPasswordNode from "supertokens-node/recipe/thirdpartyemailpassword";
+import SessionNode from "supertokens-node/recipe/session";
+import { TypeInput } from "supertokens-node/types";
+import { AppInfoUserInput } from "supertokens-node/types";
+
+const appInfo: AppInfoUserInput = {
+  appName: "Vib'n",
+  apiDomain: process.env.NEXT_PUBLIC_APP_URL || "https://app.vibnai.com",
+  websiteDomain: process.env.NEXT_PUBLIC_APP_URL || "https://app.vibnai.com",
+  apiBasePath: "/api/auth",
+  websiteBasePath: "/auth",
+};
+
+export const backendConfig = (): TypeInput => {
+  return {
+    framework: "custom",
+    supertokens: {
+      connectionURI: process.env.SUPERTOKENS_CONNECTION_URI || "https://auth.vibnai.com",
+      apiKey: process.env.SUPERTOKENS_API_KEY,
+    },
+    appInfo,
+    recipeList: [
+      ThirdPartyEmailPasswordNode.init({
+        providers: [
+          {
+            config: {
+              thirdPartyId: "google",
+              clients: [{
+                clientId: process.env.GOOGLE_CLIENT_ID || "",
+                clientSecret: process.env.GOOGLE_CLIENT_SECRET || "",
+              }],
+            },
+          },
+          {
+            config: {
+              thirdPartyId: "github",
+              clients: [{
+                clientId: process.env.GITHUB_CLIENT_ID || "",
+                clientSecret: process.env.GITHUB_CLIENT_SECRET || "",
+              }],
+            },
+          },
+        ],
+      }),
+      SessionNode.init(),
+    ],
+    isInServerlessEnv: true,
+  };
+};