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 |
|---|---|---|---|---|---|---|---|---|---|
| 46452 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6587 | 0.8471 | 0.7777 | [X:[], M:[1.1557, 0.7022, 1.1422, 0.7978, 0.6887], q:[0.75, 0.3922], qb:[0.4057, 0.4522], phi:[0.5]] | [X:[], M:[[1, 0], [0, 1], [-1, -1], [0, -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 |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_3$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ M_2q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_5$, $ M_5q_1q_2$, $ M_2M_3$, $ M_1M_5$, $ M_2q_1q_2$, $ M_5q_1\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_3M_4$, $ M_4q_1q_2$, $ M_3q_2\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_5\phi_1q_2^2$ | . | -3 | t^2.07 + t^2.11 + 2*t^2.39 + t^3. + 2*t^3.43 + 2*t^3.47 + t^3.85 + t^4.03 + t^4.07 + t^4.13 + t^4.17 + 2*t^4.21 + 2*t^4.46 + 2*t^4.5 + 3*t^4.79 + t^5.07 + t^5.11 + 2*t^5.39 + 2*t^5.49 + 4*t^5.53 + 2*t^5.57 + 3*t^5.82 + 3*t^5.86 + t^5.92 - 3*t^6. - t^6.04 + t^6.1 + t^6.14 + t^6.2 + t^6.24 + 2*t^6.25 + 2*t^6.28 + 2*t^6.32 + 2*t^6.43 + 2*t^6.47 + 2*t^6.53 + 2*t^6.57 + 2*t^6.61 + 6*t^6.85 + 5*t^6.89 + 2*t^6.93 - t^7.03 - t^7.07 + t^7.13 + t^7.17 + 4*t^7.18 + t^7.21 + 2*t^7.28 - 2*t^7.36 + 2*t^7.46 + 2*t^7.5 + 2*t^7.56 + 4*t^7.6 + 4*t^7.64 + 2*t^7.68 + t^7.71 + 2*t^7.79 + 4*t^7.89 + 5*t^7.93 + t^7.97 + t^7.99 - 2*t^8.07 - 5*t^8.11 - t^8.15 + t^8.17 + 5*t^8.21 + 5*t^8.25 + t^8.26 + t^8.29 + t^8.3 + 2*t^8.31 + 2*t^8.35 - 4*t^8.39 + t^8.43 + 2*t^8.49 + 2*t^8.53 + 2*t^8.59 + 2*t^8.63 + 3*t^8.64 + 2*t^8.67 + 2*t^8.71 + 2*t^8.82 + 2*t^8.86 + 6*t^8.92 + 7*t^8.96 - t^4.5/y - t^6.57/y - t^6.61/y - t^6.89/y + t^7.03/y + t^7.07/y + t^7.17/y + (2*t^7.46)/y + (2*t^7.5)/y + t^7.79/y - t^7.93/y - t^7.97/y + t^8.07/y + (2*t^8.11)/y + (3*t^8.39)/y + t^8.43/y + (2*t^8.49)/y + (4*t^8.53)/y + (2*t^8.57)/y - t^8.63/y - t^8.67/y - t^8.71/y + (4*t^8.82)/y + (4*t^8.86)/y + t^8.92/y - t^4.5*y - t^6.57*y - t^6.61*y - t^6.89*y + t^7.03*y + t^7.07*y + t^7.17*y + 2*t^7.46*y + 2*t^7.5*y + t^7.79*y - t^7.93*y - t^7.97*y + t^8.07*y + 2*t^8.11*y + 3*t^8.39*y + t^8.43*y + 2*t^8.49*y + 4*t^8.53*y + 2*t^8.57*y - t^8.63*y - t^8.67*y - t^8.71*y + 4*t^8.82*y + 4*t^8.86*y + t^8.92*y | t^2.07/g1^2 + g2*t^2.11 + (2*t^2.39)/g2 + t^3. + (2*t^3.43)/(g1*g2) + 2*g1*t^3.47 + t^3.85/(g1^2*g2^2) + t^4.03/g1 + g1*g2*t^4.07 + t^4.13/g1^4 + (g2*t^4.17)/g1^2 + 2*g2^2*t^4.21 + (2*t^4.46)/(g1^2*g2) + 2*t^4.5 + (3*t^4.79)/g2^2 + t^5.07/g1^2 + g2*t^5.11 + (2*t^5.39)/g2 + (2*t^5.49)/(g1^3*g2) + (4*t^5.53)/g1 + 2*g1*g2*t^5.57 + (3*t^5.82)/(g1*g2^2) + (3*g1*t^5.86)/g2 + t^5.92/(g1^4*g2^2) - 3*t^6. - g1^2*g2*t^6.04 + t^6.1/g1^3 + (g2*t^6.14)/g1 + t^6.2/g1^6 + (g2*t^6.24)/g1^4 + (2*t^6.25)/(g1^2*g2^3) + (2*g2^2*t^6.28)/g1^2 + 2*g2^3*t^6.32 + (2*t^6.43)/(g1*g2) + 2*g1*t^6.47 + (2*t^6.53)/(g1^4*g2) + (2*t^6.57)/g1^2 + 2*g2*t^6.61 + (6*t^6.85)/(g1^2*g2^2) + (5*t^6.89)/g2 + 2*g1^2*t^6.93 - t^7.03/g1 - g1*g2*t^7.07 + t^7.13/g1^4 + (g2*t^7.17)/g1^2 + (4*t^7.18)/g2^3 + g2^2*t^7.21 + (2*t^7.28)/(g1^3*g2^3) - (2*g1*t^7.36)/g2 + (2*t^7.46)/(g1^2*g2) + 2*t^7.5 + (2*t^7.56)/(g1^5*g2) + (4*t^7.6)/g1^3 + (4*g2*t^7.64)/g1 + 2*g1*g2^2*t^7.68 + t^7.71/(g1^4*g2^4) + (2*t^7.79)/g2^2 + (4*t^7.89)/(g1^3*g2^2) + (5*t^7.93)/(g1*g2) + g1*t^7.97 + t^7.99/(g1^6*g2^2) - (2*t^8.07)/g1^2 - 5*g2*t^8.11 - g1^2*g2^2*t^8.15 + t^8.17/g1^5 + (4*t^8.21)/(g1*g2^3) + (g2*t^8.21)/g1^3 + (4*g1*t^8.25)/g2^2 + (g2^2*t^8.25)/g1 + t^8.26/g1^8 + g1*g2^3*t^8.29 + (g2*t^8.3)/g1^6 + (2*t^8.31)/(g1^4*g2^3) + (2*g2^2*t^8.35)/g1^4 - (6*t^8.39)/g2 + (2*g2^3*t^8.39)/g1^2 - 2*g1^2*t^8.43 + 3*g2^4*t^8.43 + (2*t^8.49)/(g1^3*g2) + (2*t^8.53)/g1 + (2*t^8.59)/(g1^6*g2) + (2*t^8.63)/g1^4 + (3*t^8.64)/(g1^2*g2^4) + (2*g2*t^8.67)/g1^2 + 2*g2^2*t^8.71 + (2*t^8.82)/(g1*g2^2) + (2*g1*t^8.86)/g2 + (6*t^8.92)/(g1^4*g2^2) + (7*t^8.96)/(g1^2*g2) - t^4.5/y - t^6.57/(g1^2*y) - (g2*t^6.61)/y - t^6.89/(g2*y) + t^7.03/(g1*y) + (g1*g2*t^7.07)/y + (g2*t^7.17)/(g1^2*y) + (2*t^7.46)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.79/(g2^2*y) - t^7.93/(g1*g2*y) - (g1*t^7.97)/y + t^8.07/(g1^2*y) + (2*g2*t^8.11)/y + (3*t^8.39)/(g2*y) + (g1^2*t^8.43)/y + (2*t^8.49)/(g1^3*g2*y) + (4*t^8.53)/(g1*y) + (2*g1*g2*t^8.57)/y - t^8.63/(g1^4*y) - (g2*t^8.67)/(g1^2*y) - (g2^2*t^8.71)/y + (4*t^8.82)/(g1*g2^2*y) + (4*g1*t^8.86)/(g2*y) + t^8.92/(g1^4*g2^2*y) - t^4.5*y - (t^6.57*y)/g1^2 - g2*t^6.61*y - (t^6.89*y)/g2 + (t^7.03*y)/g1 + g1*g2*t^7.07*y + (g2*t^7.17*y)/g1^2 + (2*t^7.46*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.79*y)/g2^2 - (t^7.93*y)/(g1*g2) - g1*t^7.97*y + (t^8.07*y)/g1^2 + 2*g2*t^8.11*y + (3*t^8.39*y)/g2 + g1^2*t^8.43*y + (2*t^8.49*y)/(g1^3*g2) + (4*t^8.53*y)/g1 + 2*g1*g2*t^8.57*y - (t^8.63*y)/g1^4 - (g2*t^8.67*y)/g1^2 - g2^2*t^8.71*y + (4*t^8.82*y)/(g1*g2^2) + (4*g1*t^8.86*y)/g2 + (t^8.92*y)/(g1^4*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46997 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ | 0.6502 | 0.8314 | 0.782 | [X:[], M:[1.0997, 0.7008, 1.1994, 0.7992, 0.8006], q:[0.75, 0.4494], qb:[0.3497, 0.4508], phi:[0.5]] | t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.21 + 3*t^4.5 + 3*t^4.79 + 3*t^4.8 + t^5.1 + 5*t^5.4 + 6*t^5.7 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46177 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6381 | 0.8072 | 0.7905 | [X:[], M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]] | t^2.12 + 2*t^2.38 + t^3. + 4*t^3.44 + 2*t^3.88 + 2*t^4.06 + 2*t^4.23 + 2*t^4.5 + 3*t^4.77 + t^5.12 + 2*t^5.38 + 4*t^5.56 + 6*t^5.82 - 3*t^6. - t^4.5/y - t^4.5*y | detail |