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 |
|---|---|---|---|---|---|---|---|---|---|
| 2067 | 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$ | 0.7079 | 0.8764 | 0.8078 | [X:[], M:[0.9219, 1.026, 1.0781, 0.8698, 0.9219, 0.9219], q:[0.513, 0.5651], qb:[0.4088, 0.5651], phi:[0.487]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | -4 | t^2.61 + 3*t^2.77 + 2*t^2.92 + t^3.08 + t^3.91 + t^4.23 + 2*t^4.38 + t^4.54 + 2*t^4.7 + 3*t^4.85 + t^5.22 + 3*t^5.37 + 6*t^5.53 + 6*t^5.69 + 4*t^5.84 - 4*t^6. - 2*t^6.16 - t^6.31 - 2*t^6.47 + t^6.52 + 3*t^6.68 + 3*t^6.84 + 3*t^6.99 + 6*t^7.15 + 6*t^7.3 + 4*t^7.46 + 6*t^7.62 + 3*t^7.77 + 2*t^7.83 - 3*t^7.93 + 3*t^7.98 - 2*t^8.09 + 7*t^8.14 + 12*t^8.3 + 10*t^8.45 + 6*t^8.61 - 6*t^8.77 - 13*t^8.92 - t^4.46/y - t^7.07/y - (2*t^7.23)/y + (2*t^7.7)/y + t^7.85/y + (3*t^8.37)/y + (5*t^8.53)/y + (7*t^8.69)/y + (4*t^8.84)/y - t^4.46*y - t^7.07*y - 2*t^7.23*y + 2*t^7.7*y + t^7.85*y + 3*t^8.37*y + 5*t^8.53*y + 7*t^8.69*y + 4*t^8.84*y | t^2.61/g1^10 + (3*t^2.77)/g1^6 + (2*t^2.92)/g1^2 + g1^2*t^3.08 + t^3.91/g1^15 + t^4.23/g1^7 + (2*t^4.38)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.7 + 3*g1^9*t^4.85 + t^5.22/g1^20 + (3*t^5.37)/g1^16 + (6*t^5.53)/g1^12 + (6*t^5.69)/g1^8 + (4*t^5.84)/g1^4 - 4*t^6. - 2*g1^4*t^6.16 - g1^8*t^6.31 - 2*g1^12*t^6.47 + t^6.52/g1^25 + (3*t^6.68)/g1^21 + (3*t^6.84)/g1^17 + (3*t^6.99)/g1^13 + (6*t^7.15)/g1^9 + (6*t^7.3)/g1^5 + (4*t^7.46)/g1 + 6*g1^3*t^7.62 + 3*g1^7*t^7.77 + (2*t^7.83)/g1^30 - 3*g1^11*t^7.93 + (3*t^7.98)/g1^26 - 2*g1^15*t^8.09 + (7*t^8.14)/g1^22 + (12*t^8.3)/g1^18 + (10*t^8.45)/g1^14 + (6*t^8.61)/g1^10 - (6*t^8.77)/g1^6 - (13*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.07/(g1^11*y) - (2*t^7.23)/(g1^7*y) + (2*g1^5*t^7.7)/y + (g1^9*t^7.85)/y + (3*t^8.37)/(g1^16*y) + (5*t^8.53)/(g1^12*y) + (7*t^8.69)/(g1^8*y) + (4*t^8.84)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.07*y)/g1^11 - (2*t^7.23*y)/g1^7 + 2*g1^5*t^7.7*y + g1^9*t^7.85*y + (3*t^8.37*y)/g1^16 + (5*t^8.53*y)/g1^12 + (7*t^8.69*y)/g1^8 + (4*t^8.84*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3135 | $M_1q_1q_2$ + $ 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 896 | 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$ | 0.7014 | 0.8635 | 0.8123 | [X:[], M:[0.9379, 1.0207, 1.0621, 0.8965, 0.9379], q:[0.5103, 0.5517], qb:[0.4276, 0.5517], phi:[0.4897]] | t^2.69 + 2*t^2.81 + 2*t^2.94 + t^3.06 + t^3.19 + t^4.03 + t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + 3*t^4.78 + t^5.38 + 2*t^5.5 + 3*t^5.63 + 4*t^5.75 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail |