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 |
|---|---|---|---|---|---|---|---|---|---|
| 4433 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_2$ | 0.5911 | 0.7404 | 0.7983 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12257/20736, c: 15353/20736, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_2$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.17 + 2*t^2.33 + t^2.5 + t^3. + t^3.33 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.67 + t^4.83 + 2*t^5. + 2*t^5.17 + 2*t^5.33 + 2*t^5.67 + 2*t^5.83 - 2*t^6. + t^6.17 + 6*t^6.33 + 2*t^6.5 - t^6.67 + 5*t^6.83 + 7*t^7. + 3*t^7.33 + 6*t^7.5 + t^7.67 - t^7.83 + 7*t^8. + t^8.17 - 6*t^8.33 + t^8.5 + 10*t^8.67 - t^8.83 - t^4.17/y - t^6.33/y - t^6.5/y - t^6.67/y + (2*t^7.5)/y + (3*t^7.67)/y + (3*t^7.83)/y + t^8./y + t^8.17/y + (2*t^8.33)/y + t^8.5/y + (2*t^8.67)/y + t^8.83/y - t^4.17*y - t^6.33*y - t^6.5*y - t^6.67*y + 2*t^7.5*y + 3*t^7.67*y + 3*t^7.83*y + t^8.*y + t^8.17*y + 2*t^8.33*y + t^8.5*y + 2*t^8.67*y + t^8.83*y | t^2.17 + 2*t^2.33 + t^2.5 + t^3. + t^3.33 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.67 + t^4.83 + 2*t^5. + 2*t^5.17 + 2*t^5.33 + 2*t^5.67 + 2*t^5.83 - 2*t^6. + t^6.17 + 6*t^6.33 + 2*t^6.5 - t^6.67 + 5*t^6.83 + 7*t^7. + 3*t^7.33 + 6*t^7.5 + t^7.67 - t^7.83 + 7*t^8. + t^8.17 - 6*t^8.33 + t^8.5 + 10*t^8.67 - t^8.83 - t^4.17/y - t^6.33/y - t^6.5/y - t^6.67/y + (2*t^7.5)/y + (3*t^7.67)/y + (3*t^7.83)/y + t^8./y + t^8.17/y + (2*t^8.33)/y + t^8.5/y + (2*t^8.67)/y + t^8.83/y - t^4.17*y - t^6.33*y - t^6.5*y - t^6.67*y + 2*t^7.5*y + 3*t^7.67*y + 3*t^7.83*y + t^8.*y + t^8.17*y + 2*t^8.33*y + t^8.5*y + 2*t^8.67*y + 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 |
|---|---|---|---|---|---|---|---|---|
| 5944 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6054 | 0.7651 | 0.7913 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222, 0.8333], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.17 + 2*t^2.33 + 2*t^2.5 + t^3. + t^3.33 + 2*t^4. + 2*t^4.5 + 6*t^4.67 + 3*t^4.83 + 4*t^5. + 2*t^5.17 + 2*t^5.33 + t^5.5 + t^5.67 + t^5.83 - 3*t^6. - t^4.17/y - t^4.17*y | detail | {a: 6277/10368, c: 7933/10368, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, M8: 5/6, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2398 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | t^2.12 + t^2.35 + 2*t^2.43 + t^2.51 + t^2.59 + t^3.41 + t^3.65 + t^3.72 + t^4.24 + t^4.48 + 2*t^4.55 + 2*t^4.63 + 3*t^4.71 + t^4.78 + 5*t^4.86 + 3*t^4.94 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.54 + t^5.77 + 4*t^5.85 - 2*t^6. - t^4.22/y - t^4.22*y | detail | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |