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 |
|---|---|---|---|---|---|---|---|---|---|
| 46175 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6458 | 0.8255 | 0.7823 | [X:[], M:[1.1253, 0.75, 0.7495], q:[0.75, 0.3747], qb:[0.3753, 0.5], phi:[0.5]] | [X:[], M:[[1], [0], [-2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_3$, $ M_3q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_1q_2$, $ M_1M_3$, $ M_2q_1q_2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | 4 | 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. + 3*t^6.37 + 2*t^6.38 + 17*t^6.75 + 4*t^7.12 + 3*t^7.13 + 9*t^7.5 + 9*t^7.87 + 6*t^7.88 + 6*t^8.25 + 5*t^8.62 + 2*t^8.63 + t^8.99 - t^4.5/y - (2*t^6.75)/y + t^7.12/y + (3*t^7.5)/y + t^7.87/y + t^7.88/y + (5*t^8.25)/y + (5*t^8.62)/y + (5*t^8.63)/y - t^4.5*y - 2*t^6.75*y + t^7.12*y + 3*t^7.5*y + t^7.87*y + t^7.88*y + 5*t^8.25*y + 5*t^8.62*y + 5*t^8.63*y | 2*t^2.25 + t^2.25/g1^2 + g1*t^2.63 + t^3. + t^3.37/g1 + 2*g1*t^3.38 + t^3.75 + t^3.75/g1^2 + t^4.12/g1 + g1*t^4.13 + 4*t^4.5 + t^4.5/g1^4 + (2*t^4.5)/g1^2 + t^4.87/g1 + 2*g1*t^4.88 + 2*t^5.25 + t^5.25/g1^2 + g1^2*t^5.25 + t^5.62/g1^3 + (3*t^5.62)/g1 + 4*g1*t^5.63 + t^6./g1^4 + (2*t^6.)/g1^2 + g1^2*t^6. + t^6.37/g1^3 + (2*t^6.37)/g1 + 2*g1*t^6.38 + 6*t^6.75 + t^6.75/g1^6 + (2*t^6.75)/g1^4 + (5*t^6.75)/g1^2 + 3*g1^2*t^6.75 + (2*t^7.12)/g1^3 + (2*t^7.12)/g1 + 3*g1*t^7.13 + 3*t^7.5 + (2*t^7.5)/g1^4 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + t^7.87/g1^5 + (4*t^7.87)/g1^3 + (4*t^7.87)/g1 + 5*g1*t^7.88 + g1^3*t^7.88 - t^8.25 + t^8.25/g1^6 + (2*t^8.25)/g1^4 + (2*t^8.25)/g1^2 + 2*g1^2*t^8.25 + t^8.62/g1^5 + (2*t^8.62)/g1^3 + (2*t^8.62)/g1 + g1*t^8.63 + g1^3*t^8.63 + t^8.99/g1^8 - t^4.5/y - t^6.75/y - t^6.75/(g1^2*y) + t^7.12/(g1*y) + t^7.5/y + (2*t^7.5)/(g1^2*y) + t^7.87/(g1*y) + (g1*t^7.88)/y + (3*t^8.25)/y + t^8.25/(g1^2*y) + (g1^2*t^8.25)/y + t^8.62/(g1^3*y) + (4*t^8.62)/(g1*y) + (5*g1*t^8.63)/y - t^4.5*y - t^6.75*y - (t^6.75*y)/g1^2 + (t^7.12*y)/g1 + t^7.5*y + (2*t^7.5*y)/g1^2 + (t^7.87*y)/g1 + g1*t^7.88*y + 3*t^8.25*y + (t^8.25*y)/g1^2 + g1^2*t^8.25*y + (t^8.62*y)/g1^3 + (4*t^8.62*y)/g1 + 5*g1*t^8.63*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 |
|---|---|---|---|---|---|---|---|---|
| 46371 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6575 | 0.8468 | 0.7765 | [X:[], M:[1.1387, 0.75, 0.7226, 0.8613], q:[0.75, 0.3613], qb:[0.3887, 0.5], phi:[0.5]] | t^2.17 + 2*t^2.25 + t^2.58 + t^2.67 + t^3. + t^3.33 + t^3.42 + t^3.67 + t^3.75 + t^4.08 + t^4.17 + t^4.34 + 2*t^4.42 + 4*t^4.5 + t^4.75 + 3*t^4.83 + 2*t^4.92 + 2*t^5.17 + 3*t^5.25 + t^5.33 + t^5.5 + 3*t^5.58 + 2*t^5.67 + t^5.84 + 3*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 46388 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6268 | 0.7908 | 0.7925 | [X:[], M:[1.1253, 0.75, 0.7495, 1.25], q:[0.75, 0.3747], qb:[0.3753, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + 3*t^3.75 + t^4.12 + t^4.13 + 4*t^4.5 + t^4.87 + t^4.88 + 3*t^5.25 + 3*t^5.62 + 2*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46468 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ | 0.6653 | 0.8613 | 0.7724 | [X:[], M:[1.1141, 0.75, 0.7718, 0.7282], q:[0.75, 0.3859], qb:[0.3641, 0.5], phi:[0.5]] | t^2.18 + 2*t^2.25 + t^2.32 + t^2.59 + t^3. + 2*t^3.34 + t^3.41 + t^3.75 + t^4.09 + t^4.16 + t^4.37 + 2*t^4.43 + 5*t^4.5 + 2*t^4.57 + t^4.63 + t^4.78 + 2*t^4.84 + t^4.91 + 2*t^5.18 + 2*t^5.25 + t^5.32 + 2*t^5.53 + 5*t^5.59 + 3*t^5.66 + t^5.72 + 2*t^5.93 - t^4.5/y - t^4.5*y | detail | |
| 46771 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_1q_2$ | 0.6575 | 0.845 | 0.7781 | [X:[], M:[1.1114, 0.75, 0.7771, 0.8614], q:[0.75, 0.3886], qb:[0.3614, 0.5], phi:[0.5]] | 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. - t^4.5/y - t^4.5*y | detail | |
| 46673 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6649 | 0.8602 | 0.7729 | [X:[], M:[1.1253, 0.75, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.3753, 0.5], phi:[0.5]] | 4*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + t^3.75 + t^4.12 + t^4.13 + 11*t^4.5 + t^4.87 + 3*t^4.88 + 5*t^5.25 + 5*t^5.62 + 6*t^5.63 + 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46073 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ | 0.6276 | 0.7929 | 0.7915 | [X:[], M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.355, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.75 + t^3.87 + t^4.06 + t^4.19 + 4*t^4.5 + 2*t^4.81 + t^5.13 + 2*t^5.25 + 4*t^5.56 + t^5.69 + 3*t^5.88 - t^4.5/y - t^4.5*y | detail |