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 |
|---|---|---|---|---|---|---|---|---|---|
| 566 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | [X:[], M:[[2], [-2], [2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | $q_1q_2\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | 1 | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. + 2*t^6.17 + 4*t^6.39 + 6*t^6.47 + 6*t^6.56 + 4*t^6.64 + 4*t^6.94 + 2*t^7.03 + 4*t^7.11 + 4*t^7.33 + 6*t^7.42 + 4*t^7.5 + 6*t^7.58 + 5*t^7.89 + 6*t^7.97 + 5*t^8.06 + 2*t^8.14 + 3*t^8.22 + 2*t^8.36 - 2*t^8.44 - 2*t^8.53 + 2*t^8.61 + 4*t^8.7 + 6*t^8.83 + 8*t^8.92 - t^4.5/y - t^6.56/y - t^6.94/y + (2*t^7.5)/y + (2*t^7.58)/y + t^7.89/y + (4*t^7.97)/y + (3*t^8.06)/y + (3*t^8.44)/y + (4*t^8.53)/y - t^8.61/y + (4*t^8.92)/y - t^4.5*y - t^6.56*y - t^6.94*y + 2*t^7.5*y + 2*t^7.58*y + t^7.89*y + 4*t^7.97*y + 3*t^8.06*y + 3*t^8.44*y + 4*t^8.53*y - t^8.61*y + 4*t^8.92*y | t^2.06/g1^2 + 2*g1^2*t^2.44 + (2*t^2.53)/g1 + t^3. + 2*g1*t^3.47 + 2*g1^2*t^3.94 + (2*t^4.03)/g1 + (2*t^4.11)/g1^4 + 2*t^4.5 + (2*t^4.58)/g1^3 + 3*g1^4*t^4.89 + 4*g1*t^4.97 + (4*t^5.06)/g1^2 + 2*g1^2*t^5.44 + (4*t^5.53)/g1 + 2*g1^3*t^5.92 + t^6. + (2*t^6.17)/g1^6 + 4*g1^4*t^6.39 + 6*g1*t^6.47 + (6*t^6.56)/g1^2 + (4*t^6.64)/g1^5 + 4*g1^2*t^6.94 + (2*t^7.03)/g1 + (4*t^7.11)/g1^4 + 4*g1^6*t^7.33 + 6*g1^3*t^7.42 + 4*t^7.5 + (6*t^7.58)/g1^3 + 5*g1^4*t^7.89 + 6*g1*t^7.97 + (5*t^8.06)/g1^2 + (2*t^8.14)/g1^5 + (3*t^8.22)/g1^8 + 2*g1^5*t^8.36 - 2*g1^2*t^8.44 - (2*t^8.53)/g1 + (2*t^8.61)/g1^4 + (4*t^8.7)/g1^7 + 6*g1^6*t^8.83 + 8*g1^3*t^8.92 - t^4.5/y - t^6.56/(g1^2*y) - (g1^2*t^6.94)/y + (2*t^7.5)/y + (2*t^7.58)/(g1^3*y) + (g1^4*t^7.89)/y + (4*g1*t^7.97)/y + (3*t^8.06)/(g1^2*y) + (3*g1^2*t^8.44)/y + (4*t^8.53)/(g1*y) - t^8.61/(g1^4*y) + (4*g1^3*t^8.92)/y - t^4.5*y - (t^6.56*y)/g1^2 - g1^2*t^6.94*y + 2*t^7.5*y + (2*t^7.58*y)/g1^3 + g1^4*t^7.89*y + 4*g1*t^7.97*y + (3*t^8.06*y)/g1^2 + 3*g1^2*t^8.44*y + (4*t^8.53*y)/g1 - (t^8.61*y)/g1^4 + 4*g1^3*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 |
|---|---|---|---|---|---|---|---|---|
| 878 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4M_5$ | 0.644 | 0.812 | 0.7931 | [X:[], M:[0.8115, 1.1885, 0.8115, 0.6885, 1.3115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | 2*t^2.43 + 2*t^2.53 + t^3. + 2*t^3.47 + 3*t^3.93 + 2*t^4.03 + t^4.13 + 3*t^4.87 + 4*t^4.97 + 3*t^5.07 + 2*t^5.43 + 2*t^5.53 + 2*t^5.9 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 880 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6855 | 0.8928 | 0.7678 | [X:[], M:[0.8171, 1.1829, 0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]] | 2*t^2.05 + 2*t^2.45 + 2*t^2.52 + t^3. + 2*t^3.48 + t^3.95 + 2*t^4.02 + 4*t^4.1 + 4*t^4.5 + 4*t^4.57 + 3*t^4.9 + 4*t^4.98 + 5*t^5.05 + 2*t^5.45 + 6*t^5.52 + 2*t^5.93 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 1917 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6785 | 0.8762 | 0.7744 | [X:[], M:[0.8242, 1.1758, 0.8242, 0.6758, 0.8379], q:[0.75, 0.4258], qb:[0.4121, 0.4121], phi:[0.5]] | t^2.03 + 2*t^2.47 + 3*t^2.51 + t^3. + t^3.49 + 2*t^3.97 + 2*t^4.01 + 2*t^4.05 + 2*t^4.5 + 3*t^4.54 + 3*t^4.95 + 6*t^4.99 + 7*t^5.03 + 2*t^5.47 + 4*t^5.51 - t^4.5/y - t^4.5*y | detail | |
| 879 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ | 0.6512 | 0.8292 | 0.7854 | [X:[], M:[0.8048, 1.1952, 0.8048, 0.6952, 1.1524], q:[0.75, 0.4452], qb:[0.4024, 0.4024], phi:[0.5]] | t^2.09 + 2*t^2.41 + t^2.54 + t^3. + 3*t^3.46 + 2*t^3.91 + 2*t^4.04 + 2*t^4.17 + 2*t^4.5 + t^4.63 + 3*t^4.83 + 2*t^4.96 + 2*t^5.09 + 2*t^5.41 + 4*t^5.54 + 4*t^5.87 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6648 | 0.8527 | 0.7796 | [X:[], M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |