Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 48127 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ | 0.5968 | 0.7288 | 0.819 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | {a: 1547/2592, c: 1889/2592, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ X_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ q_1q_2\tilde{q}_2^2$ | . | t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.33 + t^5.5 + 2*t^5.67 + t^6.17 + t^6.33 + 2*t^6.5 + 2*t^6.67 + t^6.83 + 2*t^7. + 2*t^7.17 + 2*t^7.33 + 2*t^7.5 + 2*t^7.67 + t^7.83 + 4*t^8. + 2*t^8.17 + t^8.33 + t^8.67 + t^8.83 - t^4.33/y + t^8.17/y + t^8.5/y + (2*t^8.67)/y + (2*t^8.83)/y - t^4.33*y + t^8.17*y + t^8.5*y + 2*t^8.67*y + 2*t^8.83*y | t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.33 + t^5.5 + 2*t^5.67 + t^6.17 + t^6.33 + 2*t^6.5 + 2*t^6.67 + t^6.83 + 2*t^7. + 2*t^7.17 + 2*t^7.33 + 2*t^7.5 + 2*t^7.67 + t^7.83 + 4*t^8. + 2*t^8.17 + t^8.33 + t^8.67 + t^8.83 - t^4.33/y + t^8.17/y + t^8.5/y + (2*t^8.67)/y + (2*t^8.83)/y - t^4.33*y + t^8.17*y + t^8.5*y + 2*t^8.67*y + 2*t^8.83*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 55631 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ + $ M_2M_5$ | 0.6069 | 0.7458 | 0.8138 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0, 0.8889], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | t^2.5 + 2*t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.17 + 3*t^5.33 + t^5.5 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1573/2592, c: 1933/2592, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, M5: 8/9, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| 55532 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6168 | 0.7662 | 0.8051 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0, 0.7222], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | t^2.17 + t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.5 + 2*t^4. + t^4.17 + t^4.33 + 2*t^4.67 + 2*t^4.83 + t^5. + t^5.17 + 2*t^5.33 + 2*t^5.5 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 12791/20736, c: 15887/20736, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, M5: 13/18, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| 55610 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ + $ M_5q_1\tilde{q}_2$ | 0.602 | 0.7374 | 0.8164 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0, 0.9444], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.33 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + 2*t^5.33 + 2*t^5.5 + 2*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 1387/2304, c: 1699/2304, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, M5: 17/18, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| 50864 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ + $ M_5q_2\tilde{q}_1$ | 0.6112 | 0.7535 | 0.8111 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0, 0.8333], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | 2*t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + t^5.33 + 2*t^5.5 + 3*t^5.67 + t^5.83 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 12673/20736, c: 15625/20736, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, M5: 5/6, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |