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 |
|---|---|---|---|---|---|---|---|---|---|
| 46884 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5\phi_1^2$ | 0.6165 | 0.7522 | 0.8196 | [X:[], M:[1.1712, 0.7328, 0.8288, 0.8288, 1.2192], q:[0.4144, 0.4144], qb:[0.8528, 0.7568], phi:[0.3904]] | [X:[], M:[[6], [14], [-6], [-6], [-4]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_2\phi_1q_2^2$ | $M_1M_4$, $ M_2q_2\tilde{q}_1$ | -2 | t^2.2 + 2*t^2.49 + t^3.51 + 4*t^3.66 + t^3.8 + t^4.4 + 2*t^4.68 + t^4.83 + 3*t^4.97 + t^5.71 + 2*t^5.86 - 2*t^6. + 6*t^6.14 + 2*t^6.29 + t^6.6 + 2*t^6.88 + t^7.17 + 6*t^7.32 + 6*t^7.46 + t^7.6 + t^7.91 + 2*t^8.05 - 2*t^8.2 + 2*t^8.34 - 5*t^8.49 + 7*t^8.63 + 3*t^8.77 + t^8.79 - t^4.17/y - t^6.37/y - t^6.66/y + (3*t^7.68)/y + (2*t^7.97)/y - t^8.57/y + t^8.71/y + (3*t^8.86)/y - t^4.17*y - t^6.37*y - t^6.66*y + 3*t^7.68*y + 2*t^7.97*y - t^8.57*y + t^8.71*y + 3*t^8.86*y | g1^14*t^2.2 + (2*t^2.49)/g1^6 + g1^6*t^3.51 + (4*t^3.66)/g1^4 + t^3.8/g1^14 + g1^28*t^4.4 + 2*g1^8*t^4.68 + t^4.83/g1^2 + (3*t^4.97)/g1^12 + g1^20*t^5.71 + 2*g1^10*t^5.86 - 2*t^6. + (6*t^6.14)/g1^10 + (2*t^6.29)/g1^20 + g1^42*t^6.6 + 2*g1^22*t^6.88 + g1^2*t^7.17 + (6*t^7.32)/g1^8 + (6*t^7.46)/g1^18 + t^7.6/g1^28 + g1^34*t^7.91 + 2*g1^24*t^8.05 - 2*g1^14*t^8.2 + 2*g1^4*t^8.34 - (5*t^8.49)/g1^6 + (7*t^8.63)/g1^16 + (3*t^8.77)/g1^26 + g1^56*t^8.79 - (g1^2*t^4.17)/y - (g1^16*t^6.37)/y - t^6.66/(g1^4*y) + (3*g1^8*t^7.68)/y + (2*t^7.97)/(g1^12*y) - (g1^30*t^8.57)/y + (g1^20*t^8.71)/y + (3*g1^10*t^8.86)/y - g1^2*t^4.17*y - g1^16*t^6.37*y - (t^6.66*y)/g1^4 + 3*g1^8*t^7.68*y + (2*t^7.97*y)/g1^12 - g1^30*t^8.57*y + g1^20*t^8.71*y + 3*g1^10*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 |
|---|---|---|---|---|---|---|---|---|
| 55073 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5\phi_1^2$ + $ M_1M_6$ | 0.6315 | 0.779 | 0.8106 | [X:[], M:[1.1802, 0.7538, 0.8198, 0.8198, 1.2132, 0.8198], q:[0.4099, 0.4099], qb:[0.8363, 0.7703], phi:[0.3934]] | t^2.26 + 3*t^2.46 + 4*t^3.64 + t^3.74 + t^4.52 + 3*t^4.72 + t^4.82 + 6*t^4.92 + 2*t^5.9 - 4*t^6. - t^4.18/y - t^4.18*y | detail | |
| 55205 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5\phi_1^2$ + $ M_2^2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[1.2857, 1.0, 0.7143, 0.7143, 1.1429], q:[0.3571, 0.3571], qb:[0.6429, 0.9286], phi:[0.4286]] | 2*t^2.14 + 2*t^3. + 4*t^3.43 + t^3.86 + 3*t^4.29 + t^4.71 + 4*t^5.14 + 6*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 447/784, c: 559/784, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 8/7, q1: 5/14, q2: 5/14, qb1: 9/14, qb2: 13/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46349 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ | 0.6342 | 0.7835 | 0.8094 | [X:[], M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | t^2.17 + t^2.33 + 2*t^2.5 + t^3.5 + 3*t^3.67 + t^3.83 + t^4.33 + t^4.5 + 3*t^4.67 + 3*t^4.83 + 3*t^5. + t^5.67 + 2*t^5.83 + t^6. - t^4.17/y - t^4.17*y | detail |