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 |
|---|---|---|---|---|---|---|---|---|---|
| 251 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | [X:[], M:[[0, 1], [1, 0], [-2, 0], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_3q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + 6*t^6.16 + t^6.39 + 2*t^6.47 + 3*t^6.55 + 9*t^6.95 + 2*t^7.03 + 4*t^7.11 + t^7.34 + 3*t^7.5 + 14*t^7.58 + 4*t^7.66 + t^7.89 + 2*t^7.97 - 5*t^8.05 + 4*t^8.14 + 9*t^8.22 + 2*t^8.36 - 2*t^8.45 + 2*t^8.53 + 4*t^8.61 + t^8.84 - t^4.5/y - (2*t^6.55)/y + (2*t^7.03)/y + t^7.11/y + (2*t^7.5)/y - (2*t^7.97)/y + (2*t^8.05)/y + (3*t^8.45)/y + (8*t^8.53)/y - t^8.61/y + (4*t^8.92)/y - t^4.5*y - 2*t^6.55*y + 2*t^7.03*y + t^7.11*y + 2*t^7.5*y - 2*t^7.97*y + 2*t^8.05*y + 3*t^8.45*y + 8*t^8.53*y - t^8.61*y + 4*t^8.92*y | t^2.05/g1^2 + t^2.05/g2^2 + g1*g2*t^2.45 + t^3. + 2*g1*t^3.47 + 2*g2*t^3.47 + t^3.55/(g1*g2) + g1*g2*t^3.95 + t^4.03/g1 + t^4.03/g2 + t^4.11/g1^4 + t^4.11/g2^4 + (2*t^4.11)/(g1^2*g2^2) + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1^2*g2^2*t^4.89 + t^5.05/g1^2 + t^5.05/g2^2 + g1*g2*t^5.45 + (2*t^5.53)/g1 + (2*g1*t^5.53)/g2^2 + (2*t^5.53)/g2 + (2*g2*t^5.53)/g1^2 + t^5.61/(g1*g2^3) + t^5.61/(g1^3*g2) + g1^2*g2*t^5.92 + g1*g2^2*t^5.92 - 2*t^6. + t^6.08/g1^3 + t^6.08/g2^3 + t^6.16/g1^6 + t^6.16/g2^6 + (2*t^6.16)/(g1^2*g2^4) + (2*t^6.16)/(g1^4*g2^2) + g1^2*g2^2*t^6.39 + g1*t^6.47 + g2*t^6.47 + (g1*t^6.55)/g2^3 + t^6.55/(g1*g2) + (g2*t^6.55)/g1^3 + 3*g1^2*t^6.95 + 3*g1*g2*t^6.95 + 3*g2^2*t^6.95 + t^7.03/g1 + t^7.03/g2 + t^7.11/g1^4 + t^7.11/g2^4 + (2*t^7.11)/(g1^2*g2^2) + g1^3*g2^3*t^7.34 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (2*t^7.58)/g1^3 + (2*g1*t^7.58)/g2^4 + (2*t^7.58)/g2^3 + (3*t^7.58)/(g1*g2^2) + (3*t^7.58)/(g1^2*g2) + (2*g2*t^7.58)/g1^4 + t^7.66/(g1*g2^5) + (2*t^7.66)/(g1^3*g2^3) + t^7.66/(g1^5*g2) + g1^2*g2^2*t^7.89 + (g1^2*t^7.97)/g2 + (g2^2*t^7.97)/g1 - (2*t^8.05)/g1^2 - (2*t^8.05)/g2^2 - t^8.05/(g1*g2) + t^8.14/g1^5 + t^8.14/g2^5 + t^8.14/(g1^2*g2^3) + t^8.14/(g1^3*g2^2) + t^8.22/g1^8 + t^8.22/g2^8 + (2*t^8.22)/(g1^2*g2^6) + (3*t^8.22)/(g1^4*g2^4) + (2*t^8.22)/(g1^6*g2^2) + g1^3*g2^2*t^8.36 + g1^2*g2^3*t^8.36 - 2*g1*g2*t^8.45 + (g1*t^8.53)/g2^2 + (g2*t^8.53)/g1^2 + (g1*t^8.61)/g2^5 + t^8.61/(g1*g2^3) + t^8.61/(g1^3*g2) + (g2*t^8.61)/g1^5 + g1^3*g2^3*t^8.84 - t^4.5/y - t^6.55/(g1^2*y) - t^6.55/(g2^2*y) + t^7.03/(g1*y) + t^7.03/(g2*y) + t^7.11/(g1^2*g2^2*y) + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) - (g1*t^7.97)/y - (g2*t^7.97)/y + t^8.05/(g1^2*y) + t^8.05/(g2^2*y) + (g1^2*t^8.45)/y + (g1*g2*t^8.45)/y + (g2^2*t^8.45)/y + (2*t^8.53)/(g1*y) + (2*g1*t^8.53)/(g2^2*y) + (2*t^8.53)/(g2*y) + (2*g2*t^8.53)/(g1^2*y) - t^8.61/(g1^4*y) - t^8.61/(g2^4*y) + t^8.61/(g1*g2^3*y) - t^8.61/(g1^2*g2^2*y) + t^8.61/(g1^3*g2*y) + (2*g1^2*g2*t^8.92)/y + (2*g1*g2^2*t^8.92)/y - t^4.5*y - (t^6.55*y)/g1^2 - (t^6.55*y)/g2^2 + (t^7.03*y)/g1 + (t^7.03*y)/g2 + (t^7.11*y)/(g1^2*g2^2) + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 - g1*t^7.97*y - g2*t^7.97*y + (t^8.05*y)/g1^2 + (t^8.05*y)/g2^2 + g1^2*t^8.45*y + g1*g2*t^8.45*y + g2^2*t^8.45*y + (2*t^8.53*y)/g1 + (2*g1*t^8.53*y)/g2^2 + (2*t^8.53*y)/g2 + (2*g2*t^8.53*y)/g1^2 - (t^8.61*y)/g1^4 - (t^8.61*y)/g2^4 + (t^8.61*y)/(g1*g2^3) - (t^8.61*y)/(g1^2*g2^2) + (t^8.61*y)/(g1^3*g2) + 2*g1^2*g2*t^8.92*y + 2*g1*g2^2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1756 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6373 | 0.8105 | 0.7863 | [X:[], M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | t^2.05 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.82 + t^4.03 + t^4.11 + t^4.16 + 3*t^4.37 + 3*t^4.63 + t^5.05 + 2*t^5.32 + 2*t^5.4 + 2*t^5.53 + 3*t^5.66 + t^5.74 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6219 | 0.7787 | 0.7986 | [X:[], M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.04 + t^2.43 + t^3. + 2*t^3.45 + 2*t^3.48 + t^3.57 + t^3.91 + t^3.93 + t^4.02 + t^4.05 + t^4.08 + t^4.13 + t^4.47 + t^4.87 + t^5.04 + t^5.43 + 2*t^5.49 + 2*t^5.52 + t^5.61 + t^5.89 + t^5.91 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |