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 |
|---|---|---|---|---|---|---|---|---|---|
| 249 | 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\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6426 | 0.819 | 0.7847 | [X:[], M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | [X:[], M:[[0, 1], [1, 0], [-1, -1], [-2, 0]], 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 |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ \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_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_4q_1q_2$, $ M_3q_1q_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -2 | t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^6.02 + t^6.05 + t^6.07 + t^6.11 + t^6.13 + 2*t^6.15 + 2*t^6.17 + t^6.36 + t^6.46 + t^6.48 + t^6.51 + t^6.54 + t^6.56 + 4*t^6.92 + 3*t^6.94 + 2*t^6.96 + t^7.02 + t^7.04 + t^7.07 + t^7.09 + 2*t^7.11 + t^7.33 + 2*t^7.38 - 2*t^7.43 + 2*t^7.48 + t^7.5 + 2*t^7.53 + 4*t^7.55 + 5*t^7.57 + 3*t^7.6 + t^7.63 + t^7.65 + 2*t^7.67 + t^7.84 + 2*t^7.94 + t^7.96 - t^7.98 + t^7.99 - t^8.04 - 4*t^8.06 - t^8.08 + t^8.09 + t^8.11 + t^8.13 + t^8.14 + t^8.15 + t^8.16 + 2*t^8.18 + 2*t^8.21 + 3*t^8.23 + t^8.35 + t^8.37 + t^8.4 - 2*t^8.44 - t^8.46 + t^8.5 + t^8.52 + t^8.55 + t^8.57 + t^8.59 + t^8.61 + t^8.81 + 4*t^8.96 + 5*t^8.98 - t^4.5/y - t^6.54/y - t^6.56/y + t^7.02/y + t^7.04/y + t^7.09/y + t^7.48/y + t^7.5/y - t^7.96/y - t^7.98/y + t^8.04/y + t^8.06/y + (2*t^8.44)/y + t^8.46/y + (2*t^8.5)/y + (4*t^8.52)/y + (2*t^8.54)/y - t^8.57/y + (2*t^8.9)/y + (2*t^8.93)/y + t^8.96/y + t^8.98/y - t^4.5*y - t^6.54*y - t^6.56*y + t^7.02*y + t^7.04*y + t^7.09*y + t^7.48*y + t^7.5*y - t^7.96*y - t^7.98*y + t^8.04*y + t^8.06*y + 2*t^8.44*y + t^8.46*y + 2*t^8.5*y + 4*t^8.52*y + 2*t^8.54*y - t^8.57*y + 2*t^8.9*y + 2*t^8.93*y + t^8.96*y + t^8.98*y | t^2.04/g1^2 + t^2.06/(g1*g2) + g1*g2*t^2.44 + t^3. + 2*g2*t^3.46 + 2*g1*t^3.48 + t^3.56/(g1*g2) + g2^2*t^3.92 + t^4.02/g1 + t^4.04/g2 + t^4.07/g1^4 + t^4.09/(g1^3*g2) + (2*t^4.11)/(g1^2*g2^2) + (g2*t^4.48)/g1 + t^4.5 + g1^2*g2^2*t^4.89 + t^5.04/g1^2 + t^5.06/(g1*g2) + g1*g2*t^5.44 + (2*g2*t^5.5)/g1^2 + (4*t^5.52)/g1 + (2*t^5.54)/g2 + t^5.59/(g1^3*g2) + t^5.61/(g1^2*g2^2) + g1*g2^2*t^5.9 + g1^2*g2*t^5.93 + (g2^2*t^5.96)/g1^2 - 2*t^6. - (g1*t^6.02)/g2 + t^6.05/g1^3 + t^6.07/(g1^2*g2) + t^6.11/g1^6 + t^6.13/(g1^5*g2) + (2*t^6.15)/(g1^4*g2^2) + (2*t^6.17)/(g1^3*g2^3) + g1*g2^3*t^6.36 + g2*t^6.46 + g1*t^6.48 + (g2*t^6.51)/g1^3 + t^6.54/g1^2 + t^6.56/(g1*g2) + 4*g2^2*t^6.92 + 3*g1*g2*t^6.94 + 2*g1^2*t^6.96 + t^7.02/g1 + t^7.04/g2 + t^7.07/g1^4 + t^7.09/(g1^3*g2) + (2*t^7.11)/(g1^2*g2^2) + g1^3*g2^3*t^7.33 + 2*g2^3*t^7.38 - 2*g1^2*g2*t^7.43 + (2*g2*t^7.48)/g1 + t^7.5 + (2*g2*t^7.53)/g1^4 + (4*t^7.55)/g1^3 + (5*t^7.57)/(g1^2*g2) + (3*t^7.6)/(g1*g2^2) + t^7.63/(g1^5*g2) + t^7.65/(g1^4*g2^2) + (2*t^7.67)/(g1^3*g2^3) + g2^4*t^7.84 + (2*g2^2*t^7.94)/g1 + g2*t^7.96 - g1*t^7.98 + (g2^2*t^7.99)/g1^4 - t^8.04/g1^2 - (4*t^8.06)/(g1*g2) - t^8.08/g2^2 + t^8.09/g1^5 + t^8.11/(g1^4*g2) + t^8.13/(g1^3*g2^2) + t^8.14/g1^8 + t^8.15/(g1^2*g2^3) + t^8.16/(g1^7*g2) + (2*t^8.18)/(g1^6*g2^2) + (2*t^8.21)/(g1^5*g2^3) + (3*t^8.23)/(g1^4*g2^4) + g1^2*g2^3*t^8.35 + g1^3*g2^2*t^8.37 + (g2^3*t^8.4)/g1 - 2*g1*g2*t^8.44 - g1^2*t^8.46 + (g2*t^8.5)/g1^2 + t^8.52/g1 + (g2*t^8.55)/g1^5 + t^8.57/g1^4 + t^8.59/(g1^3*g2) + t^8.61/(g1^2*g2^2) + g1^2*g2^4*t^8.81 + (4*g2^2*t^8.96)/g1^2 + (5*g2*t^8.98)/g1 - t^4.5/y - t^6.54/(g1^2*y) - t^6.56/(g1*g2*y) + t^7.02/(g1*y) + t^7.04/(g2*y) + t^7.09/(g1^3*g2*y) + (g2*t^7.48)/(g1*y) + t^7.5/y - (g2*t^7.96)/y - (g1*t^7.98)/y + t^8.04/(g1^2*y) + t^8.06/(g1*g2*y) + (2*g1*g2*t^8.44)/y + (g1^2*t^8.46)/y + (2*g2*t^8.5)/(g1^2*y) + (4*t^8.52)/(g1*y) + (2*t^8.54)/(g2*y) - t^8.57/(g1^4*y) + (2*g1*g2^2*t^8.9)/y + (2*g1^2*g2*t^8.93)/y + (g2^2*t^8.96)/(g1^2*y) + (g2*t^8.98)/(g1*y) - t^4.5*y - (t^6.54*y)/g1^2 - (t^6.56*y)/(g1*g2) + (t^7.02*y)/g1 + (t^7.04*y)/g2 + (t^7.09*y)/(g1^3*g2) + (g2*t^7.48*y)/g1 + t^7.5*y - g2*t^7.96*y - g1*t^7.98*y + (t^8.04*y)/g1^2 + (t^8.06*y)/(g1*g2) + 2*g1*g2*t^8.44*y + g1^2*t^8.46*y + (2*g2*t^8.5*y)/g1^2 + (4*t^8.52*y)/g1 + (2*t^8.54*y)/g2 - (t^8.57*y)/g1^4 + 2*g1*g2^2*t^8.9*y + 2*g1^2*g2*t^8.93*y + (g2^2*t^8.96*y)/g1^2 + (g2*t^8.98*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 398 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 - t^4.5/y - t^4.5*y | detail | |
| 1761 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ | 0.6352 | 0.809 | 0.7853 | [X:[], M:[1.1103, 1.1397, 0.75, 0.7206], q:[0.75, 0.5], qb:[0.3897, 0.3603], phi:[0.5]] | t^2.16 + 2*t^2.25 + t^3. + 2*t^3.33 + 2*t^3.42 + t^3.66 + t^3.75 + t^4.08 + t^4.17 + t^4.32 + 2*t^4.41 + 4*t^4.5 + t^5.16 + 2*t^5.25 + 2*t^5.49 + 5*t^5.58 + 3*t^5.67 + t^5.82 + 2*t^5.91 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 399 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]] | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 157 | 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\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail |