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 |
|---|---|---|---|---|---|---|---|---|---|
| 55188 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ | 0.6516 | 0.817 | 0.7975 | [X:[], M:[0.8666, 1.1904, 1.1334, 0.7525, 0.8096, 1.0285], q:[0.3762, 0.7571], qb:[0.4333, 0.4904], phi:[0.4857]] | [X:[], M:[[14], [10], [-14], [-34], [-10], [12]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_6$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_1M_4$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_1M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_6$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_1^2$ | . | -1 | t^2.26 + t^2.43 + t^2.6 + t^2.77 + t^3.09 + t^3.4 + t^3.57 + t^3.71 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.51 + t^4.69 + 2*t^4.86 + 2*t^5.03 + 2*t^5.2 + t^5.34 + t^5.37 + t^5.51 + t^5.54 + t^5.69 + t^5.86 + t^5.97 - t^6. + 2*t^6.14 + 3*t^6.31 + 4*t^6.49 + 4*t^6.66 + t^6.77 + 3*t^6.83 + t^6.94 + 2*t^7. + 2*t^7.11 + t^7.17 + 2*t^7.29 + t^7.43 + 2*t^7.46 + 2*t^7.6 + 2*t^7.63 + 3*t^7.77 + 2*t^7.8 + 3*t^7.94 + 2*t^7.97 - t^8.09 + 4*t^8.11 + t^8.14 + t^8.23 - 3*t^8.26 + 3*t^8.29 + t^8.31 + 2*t^8.4 - 4*t^8.43 + 3*t^8.46 + 4*t^8.57 - 4*t^8.6 + 2*t^8.63 + 4*t^8.74 - 3*t^8.77 + t^8.8 + 5*t^8.91 - t^8.94 - t^4.46/y - t^6.71/y + t^7.69/y + t^7.86/y + (2*t^8.03)/y + (2*t^8.2)/y + t^8.34/y + t^8.37/y + t^8.51/y + t^8.66/y + t^8.69/y + (2*t^8.83)/y + t^8.86/y - t^4.46*y - t^6.71*y + t^7.69*y + t^7.86*y + 2*t^8.03*y + 2*t^8.2*y + t^8.34*y + t^8.37*y + t^8.51*y + t^8.66*y + t^8.69*y + 2*t^8.83*y + t^8.86*y | t^2.26/g1^34 + t^2.43/g1^10 + g1^14*t^2.6 + g1^38*t^2.77 + g1^12*t^3.09 + t^3.4/g1^14 + g1^10*t^3.57 + t^3.71/g1^40 + t^3.89/g1^16 + 2*g1^8*t^4.06 + g1^32*t^4.23 + g1^56*t^4.4 + t^4.51/g1^68 + t^4.69/g1^44 + (2*t^4.86)/g1^20 + 2*g1^4*t^5.03 + 2*g1^28*t^5.2 + t^5.34/g1^22 + g1^52*t^5.37 + g1^2*t^5.51 + g1^76*t^5.54 + g1^26*t^5.69 + g1^50*t^5.86 + t^5.97/g1^74 - t^6. + (2*t^6.14)/g1^50 + (3*t^6.31)/g1^26 + (4*t^6.49)/g1^2 + 4*g1^22*t^6.66 + t^6.77/g1^102 + 3*g1^46*t^6.83 + t^6.94/g1^78 + 2*g1^70*t^7. + (2*t^7.11)/g1^54 + g1^94*t^7.17 + (2*t^7.29)/g1^30 + t^7.43/g1^80 + (2*t^7.46)/g1^6 + (2*t^7.6)/g1^56 + 2*g1^18*t^7.63 + (3*t^7.77)/g1^32 + 2*g1^42*t^7.8 + (3*t^7.94)/g1^8 + 2*g1^66*t^7.97 - t^8.09/g1^58 + 4*g1^16*t^8.11 + g1^90*t^8.14 + t^8.23/g1^108 - (3*t^8.26)/g1^34 + 3*g1^40*t^8.29 + g1^114*t^8.31 + (2*t^8.4)/g1^84 - (4*t^8.43)/g1^10 + 3*g1^64*t^8.46 + (4*t^8.57)/g1^60 - 4*g1^14*t^8.6 + 2*g1^88*t^8.63 + (4*t^8.74)/g1^36 - 3*g1^38*t^8.77 + g1^112*t^8.8 + (5*t^8.91)/g1^12 - g1^62*t^8.94 - t^4.46/(g1^6*y) - t^6.71/(g1^40*y) + t^7.69/(g1^44*y) + t^7.86/(g1^20*y) + (2*g1^4*t^8.03)/y + (2*g1^28*t^8.2)/y + t^8.34/(g1^22*y) + (g1^52*t^8.37)/y + (g1^2*t^8.51)/y + t^8.66/(g1^48*y) + (g1^26*t^8.69)/y + (2*t^8.83)/(g1^24*y) + (g1^50*t^8.86)/y - (t^4.46*y)/g1^6 - (t^6.71*y)/g1^40 + (t^7.69*y)/g1^44 + (t^7.86*y)/g1^20 + 2*g1^4*t^8.03*y + 2*g1^28*t^8.2*y + (t^8.34*y)/g1^22 + g1^52*t^8.37*y + g1^2*t^8.51*y + (t^8.66*y)/g1^48 + g1^26*t^8.69*y + (2*t^8.83*y)/g1^24 + g1^50*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 56831 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6515 | 0.8171 | 0.7974 | [X:[], M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 1.027], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^3.08 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + 2*t^5.03 + 2*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 264021/405224, c: 165551/202612, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 38/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
| 56834 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.672 | 0.8561 | 0.785 | [X:[], M:[0.8652, 1.1894, 1.1348, 0.7561, 0.8106, 1.0273, 0.703], q:[0.378, 0.7568], qb:[0.4326, 0.4871], phi:[0.4864]] | t^2.11 + t^2.27 + t^2.43 + t^2.6 + t^2.76 + t^3.08 + t^3.4 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 2*t^4.86 + t^4.87 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.52 + 2*t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail | |
| 56833 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6706 | 0.8525 | 0.7866 | [X:[], M:[0.8595, 1.1854, 1.1405, 0.7698, 0.8146, 1.0224, 0.7414], q:[0.3849, 0.7556], qb:[0.4298, 0.4746], phi:[0.4888]] | t^2.22 + t^2.31 + t^2.44 + t^2.58 + t^2.71 + t^3.07 + t^3.42 + t^3.56 + t^3.91 + 2*t^4.04 + t^4.18 + t^4.31 + t^4.45 + t^4.53 + t^4.62 + t^4.67 + t^4.75 + t^4.8 + 2*t^4.89 + t^4.94 + 2*t^5.02 + 2*t^5.16 + 2*t^5.29 + t^5.38 + t^5.43 + t^5.51 + 2*t^5.65 + 2*t^5.78 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 56830 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ | 0.6457 | 0.8102 | 0.797 | [X:[], M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 1.0526], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.05 + t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + 3*t^4.74 + 2*t^5.05 + t^5.21 + 2*t^5.37 + 2*t^5.53 + t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 17715/27436, c: 44455/54872, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 20/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[1.0132, 1.0457, 0.9868, 0.8954, 0.9543, 1.0294], q:[0.4477, 0.5391], qb:[0.5066, 0.5655], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |