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 |
|---|---|---|---|---|---|---|---|---|---|
| 2717 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ | 0.6575 | 0.845 | 0.7781 | [X:[], M:[1.1114, 0.7771, 0.75, 0.8614], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | [X:[], M:[[1], [-2], [0], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_2^2$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_2$, $ M_2q_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -1 | 2*t^2.25 + t^2.33 + 2*t^2.58 + t^3. + 2*t^3.33 + t^3.75 + t^3.83 + t^4.08 + t^4.17 + 4*t^4.5 + 2*t^4.58 + t^4.66 + 4*t^4.83 + 2*t^4.92 + 3*t^5.17 + 2*t^5.25 + t^5.33 + 5*t^5.58 + t^5.67 + 3*t^5.92 - t^6. + 2*t^6.08 + t^6.16 + 3*t^6.33 + 2*t^6.42 + t^6.5 + 4*t^6.67 + 5*t^6.75 + 4*t^6.83 + 2*t^6.91 + t^6.99 + 7*t^7.08 + 3*t^7.17 + 2*t^7.25 + 6*t^7.42 + 4*t^7.5 + t^7.58 + 2*t^7.66 + 4*t^7.75 + 7*t^7.83 + t^7.92 + 2*t^8. + 7*t^8.17 - 2*t^8.25 + t^8.33 + 2*t^8.41 + t^8.49 + 4*t^8.5 - t^8.58 + 2*t^8.67 + 2*t^8.75 + t^8.83 + 6*t^8.92 - t^4.5/y - t^6.75/y - t^6.83/y - t^7.08/y + t^7.17/y + t^7.5/y + (2*t^7.58)/y + (3*t^7.83)/y + (3*t^7.92)/y + (2*t^8.17)/y + (3*t^8.25)/y + t^8.33/y + (6*t^8.58)/y + (2*t^8.67)/y + (4*t^8.92)/y - t^4.5*y - t^6.75*y - t^6.83*y - t^7.08*y + t^7.17*y + t^7.5*y + 2*t^7.58*y + 3*t^7.83*y + 3*t^7.92*y + 2*t^8.17*y + 3*t^8.25*y + t^8.33*y + 6*t^8.58*y + 2*t^8.67*y + 4*t^8.92*y | 2*t^2.25 + t^2.33/g1^2 + 2*g1*t^2.58 + t^3. + 2*g1*t^3.33 + t^3.75 + t^3.83/g1^2 + g1*t^4.08 + t^4.17/g1 + 4*t^4.5 + (2*t^4.58)/g1^2 + t^4.66/g1^4 + 4*g1*t^4.83 + (2*t^4.92)/g1 + 3*g1^2*t^5.17 + 2*t^5.25 + t^5.33/g1^2 + 5*g1*t^5.58 + t^5.67/g1 + 3*g1^2*t^5.92 - t^6. + (2*t^6.08)/g1^2 + t^6.16/g1^4 + 3*g1*t^6.33 + (2*t^6.42)/g1 + t^6.5/g1^3 + 4*g1^2*t^6.67 + 5*t^6.75 + (4*t^6.83)/g1^2 + (2*t^6.91)/g1^4 + t^6.99/g1^6 + 7*g1*t^7.08 + (3*t^7.17)/g1 + (2*t^7.25)/g1^3 + 6*g1^2*t^7.42 + 4*t^7.5 + t^7.58/g1^2 + (2*t^7.66)/g1^4 + 4*g1^3*t^7.75 + 7*g1*t^7.83 + t^7.92/g1 + (2*t^8.)/g1^3 + 7*g1^2*t^8.17 - 2*t^8.25 + t^8.33/g1^2 + (2*t^8.41)/g1^4 + t^8.49/g1^6 + 4*g1^3*t^8.5 - g1*t^8.58 + (2*t^8.67)/g1 + (2*t^8.75)/g1^3 + t^8.83/g1^5 + 6*g1^2*t^8.92 - t^4.5/y - t^6.75/y - t^6.83/(g1^2*y) - (g1*t^7.08)/y + t^7.17/(g1*y) + t^7.5/y + (2*t^7.58)/(g1^2*y) + (3*g1*t^7.83)/y + (3*t^7.92)/(g1*y) + (2*g1^2*t^8.17)/y + (3*t^8.25)/y + t^8.33/(g1^2*y) + (6*g1*t^8.58)/y + (2*t^8.67)/(g1*y) + (4*g1^2*t^8.92)/y - t^4.5*y - t^6.75*y - (t^6.83*y)/g1^2 - g1*t^7.08*y + (t^7.17*y)/g1 + t^7.5*y + (2*t^7.58*y)/g1^2 + 3*g1*t^7.83*y + (3*t^7.92*y)/g1 + 2*g1^2*t^8.17*y + 3*t^8.25*y + (t^8.33*y)/g1^2 + 6*g1*t^8.58*y + (2*t^8.67*y)/g1 + 4*g1^2*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 |
|---|---|---|---|---|---|---|---|---|
| 3227 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_1M_5$ | 0.6682 | 0.8635 | 0.7738 | [X:[], M:[1.1252, 0.7495, 0.75, 0.8752, 0.8748], q:[0.75, 0.3748], qb:[0.5, 0.3752], phi:[0.5]] | 3*t^2.25 + t^2.62 + 2*t^2.63 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + 5*t^4.87 + 4*t^4.88 + 9*t^5.25 + t^5.62 + 3*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 3226 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_3M_5$ | 0.6385 | 0.8103 | 0.7879 | [X:[], M:[1.1114, 0.7771, 0.75, 0.8614, 1.25], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | t^2.25 + t^2.33 + 2*t^2.58 + t^3. + 2*t^3.33 + 2*t^3.75 + t^3.83 + t^4.08 + t^4.17 + 2*t^4.5 + t^4.58 + t^4.66 + 2*t^4.83 + 2*t^4.92 + 3*t^5.17 + t^5.25 + t^5.33 + 3*t^5.58 + t^5.67 + 3*t^5.92 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 3228 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_5\phi_1q_2^2$ | 0.6777 | 0.8835 | 0.7671 | [X:[], M:[1.1039, 0.7922, 0.75, 0.8539, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | t^2.12 + 2*t^2.25 + t^2.38 + 2*t^2.56 + t^3. + 2*t^3.31 + t^3.75 + t^4.06 + t^4.19 + t^4.25 + 2*t^4.37 + 5*t^4.5 + 2*t^4.63 + 2*t^4.68 + t^4.75 + 4*t^4.81 + 2*t^4.94 + 4*t^5.12 + 2*t^5.25 + t^5.38 + 2*t^5.43 + 5*t^5.56 + t^5.69 + 4*t^5.87 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 3229 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6766 | 0.8797 | 0.7691 | [X:[], M:[1.1114, 0.7771, 0.75, 0.8614, 0.75], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | 3*t^2.25 + t^2.33 + 2*t^2.58 + t^3. + 2*t^3.33 + t^3.83 + t^4.08 + t^4.17 + 7*t^4.5 + 3*t^4.58 + t^4.66 + 6*t^4.83 + 2*t^4.92 + 3*t^5.17 + 3*t^5.25 + t^5.33 + 7*t^5.58 + t^5.67 + 3*t^5.92 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1718 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6458 | 0.8255 | 0.7823 | [X:[], M:[1.1253, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]] | 3*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + 2*t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + t^4.87 + 2*t^4.88 + 4*t^5.25 + 4*t^5.62 + 4*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail |