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 |
|---|---|---|---|---|---|---|---|---|---|
| 5035 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6836 | 0.8711 | 0.7848 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 53739/78608, c: 34239/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_6$, $ M_7$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_7q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | $M_4\phi_1q_1\tilde{q}_1$ | -2 | t^2.12 + 3*t^2.47 + 3*t^2.82 + t^3.18 + t^3.88 + 3*t^4.24 + 4*t^4.59 + 9*t^4.94 + 12*t^5.29 + 7*t^5.65 - 2*t^6. + t^6.35 + 9*t^6.71 + 13*t^7.06 + 18*t^7.41 + 24*t^7.76 + 20*t^8.12 - 2*t^8.47 - 11*t^8.82 - t^4.41/y - t^6.53/y - (2*t^6.88)/y - t^7.24/y + (4*t^7.59)/y + (8*t^7.94)/y + (11*t^8.29)/y + (5*t^8.65)/y - t^4.41*y - t^6.53*y - 2*t^6.88*y - t^7.24*y + 4*t^7.59*y + 8*t^7.94*y + 11*t^8.29*y + 5*t^8.65*y | t^2.12 + 3*t^2.47 + 3*t^2.82 + t^3.18 + t^3.88 + 3*t^4.24 + 4*t^4.59 + 9*t^4.94 + 12*t^5.29 + 7*t^5.65 - 2*t^6. + t^6.35 + 9*t^6.71 + 13*t^7.06 + 18*t^7.41 + 24*t^7.76 + 20*t^8.12 - 2*t^8.47 - 11*t^8.82 - t^4.41/y - t^6.53/y - (2*t^6.88)/y - t^7.24/y + (4*t^7.59)/y + (8*t^7.94)/y + (11*t^8.29)/y + (5*t^8.65)/y - t^4.41*y - t^6.53*y - 2*t^6.88*y - t^7.24*y + 4*t^7.59*y + 8*t^7.94*y + 11*t^8.29*y + 5*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 6629 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1M_8$ | 0.6686 | 0.8451 | 0.7912 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 1.1765], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 3*t^2.82 + t^3.18 + t^3.53 + t^3.88 + 3*t^4.24 + 3*t^4.59 + 6*t^4.94 + 9*t^5.29 + 7*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 3285/4913, c: 4152/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 20/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| 6631 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_2M_8$ | 0.6891 | 0.8803 | 0.7828 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.12 + 3*t^2.47 + 4*t^2.82 + t^3.88 + 3*t^4.24 + 4*t^4.59 + 10*t^4.94 + 14*t^5.29 + 8*t^5.65 - 5*t^6. - t^4.41/y - t^4.41*y | detail | {a: 6771/9826, c: 17299/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| 6627 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_4M_8$ | 0.6632 | 0.8323 | 0.7968 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 1.2941], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | 3*t^2.47 + 3*t^2.82 + t^3.18 + 2*t^3.88 + 2*t^4.24 + t^4.59 + 6*t^4.94 + 11*t^5.29 + 7*t^5.65 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 26067/39304, c: 16357/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 22/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| 6632 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.7041 | 0.9099 | 0.7737 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 0.7059], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | 2*t^2.12 + 3*t^2.47 + 3*t^2.82 + t^3.18 + 5*t^4.24 + 7*t^4.59 + 12*t^4.94 + 13*t^5.29 + 7*t^5.65 - 3*t^6. - t^4.41/y - t^4.41*y | detail | {a: 3459/4913, c: 8941/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 12/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3135 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7286 | 0.9161 | 0.7953 | [X:[], M:[0.9262, 1.0246, 1.0738, 0.8769, 0.9262, 0.9262, 0.6846], q:[0.5123, 0.5615], qb:[0.4139, 0.5615], phi:[0.4877]] | t^2.05 + t^2.63 + 3*t^2.78 + 2*t^2.93 + t^3.07 + t^4.11 + t^4.24 + 2*t^4.39 + t^4.54 + 3*t^4.68 + 6*t^4.83 + 2*t^4.98 + t^5.13 + t^5.26 + 3*t^5.41 + 6*t^5.56 + 6*t^5.7 + 4*t^5.85 - 4*t^6. - t^4.46/y - t^4.46*y | detail |