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 |
|---|---|---|---|---|---|---|---|---|---|
| 1215 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6647 | 0.8391 | 0.7922 | [X:[], M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | [X:[], M:[[-6], [-14], [6], [6], [6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -2 | t^2.29 + 2*t^2.37 + 3*t^2.45 + t^3.48 + t^3.71 + t^3.78 + t^4.59 + 2*t^4.66 + 6*t^4.74 + 7*t^4.82 + 6*t^4.89 + t^5.77 + t^5.85 + t^5.92 - 2*t^6. + t^6.08 + 4*t^6.15 + 3*t^6.23 + t^6.88 + 3*t^6.96 + 5*t^7.03 + 8*t^7.11 + 14*t^7.18 + 11*t^7.26 + 7*t^7.34 + t^7.49 + t^7.56 + t^8.07 + t^8.14 + 2*t^8.22 - 3*t^8.29 - 6*t^8.37 - 8*t^8.45 + 3*t^8.52 + 9*t^8.6 + 6*t^8.67 - t^4.18/y - t^6.48/y - (2*t^6.55)/y - (2*t^6.63)/y + (2*t^7.66)/y + (6*t^7.74)/y + (8*t^7.82)/y + (4*t^7.89)/y - (2*t^8.92)/y - t^4.18*y - t^6.48*y - 2*t^6.55*y - 2*t^6.63*y + 2*t^7.66*y + 6*t^7.74*y + 8*t^7.82*y + 4*t^7.89*y - 2*t^8.92*y | t^2.29/g1^14 + (2*t^2.37)/g1^4 + 3*g1^6*t^2.45 + t^3.48/g1^16 + g1^14*t^3.71 + g1^24*t^3.78 + t^4.59/g1^28 + (2*t^4.66)/g1^18 + (6*t^4.74)/g1^8 + 7*g1^2*t^4.82 + 6*g1^12*t^4.89 + t^5.77/g1^30 + t^5.85/g1^20 + t^5.92/g1^10 - 2*t^6. + g1^10*t^6.08 + 4*g1^20*t^6.15 + 3*g1^30*t^6.23 + t^6.88/g1^42 + (3*t^6.96)/g1^32 + (5*t^7.03)/g1^22 + (8*t^7.11)/g1^12 + (14*t^7.18)/g1^2 + 11*g1^8*t^7.26 + 7*g1^18*t^7.34 + g1^38*t^7.49 + g1^48*t^7.56 + t^8.07/g1^44 + t^8.14/g1^34 + (2*t^8.22)/g1^24 - (3*t^8.29)/g1^14 - (6*t^8.37)/g1^4 - 8*g1^6*t^8.45 + 3*g1^16*t^8.52 + 9*g1^26*t^8.6 + 6*g1^36*t^8.67 - t^4.18/(g1^2*y) - t^6.48/(g1^16*y) - (2*t^6.55)/(g1^6*y) - (2*g1^4*t^6.63)/y + (2*t^7.66)/(g1^18*y) + (6*t^7.74)/(g1^8*y) + (8*g1^2*t^7.82)/y + (4*g1^12*t^7.89)/y - (2*t^8.92)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.48*y)/g1^16 - (2*t^6.55*y)/g1^6 - 2*g1^4*t^6.63*y + (2*t^7.66*y)/g1^18 + (6*t^7.74*y)/g1^8 + 8*g1^2*t^7.82*y + 4*g1^12*t^7.89*y - (2*t^8.92*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2247 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_2M_7$ | 0.6468 | 0.808 | 0.8005 | [X:[], M:[1.1933, 0.7843, 0.8067, 0.8067, 0.8067, 0.7955, 1.2157], q:[0.8011, 0.4146], qb:[0.3921, 0.8011], phi:[0.3978]] | 2*t^2.39 + 3*t^2.42 + t^3.55 + 2*t^3.65 + t^3.68 + 3*t^4.77 + 7*t^4.81 + 6*t^4.84 + t^5.93 + t^5.97 - 3*t^6. - t^4.19/y - t^4.19*y | detail | |
| 2245 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6847 | 0.8767 | 0.781 | [X:[], M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | t^2.14 + t^2.25 + 2*t^2.36 + 3*t^2.46 + t^3.43 + t^3.75 + t^4.28 + t^4.39 + 3*t^4.5 + 5*t^4.61 + 6*t^4.71 + 7*t^4.82 + 6*t^4.93 + t^5.57 + t^5.68 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 739 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ | 0.6477 | 0.8091 | 0.8005 | [X:[], M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.31 + t^2.37 + 3*t^2.44 + t^3.5 + t^3.63 + t^3.69 + t^3.75 + t^4.62 + t^4.69 + 4*t^4.75 + 4*t^4.81 + 6*t^4.88 + t^5.81 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail |