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 |
|---|---|---|---|---|---|---|---|---|---|
| 55186 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6674 | 0.8647 | 0.7718 | [X:[], M:[1.1146, 0.7291, 0.7709, 1.1563, 0.8854, 0.6873], q:[0.75, 0.4063], qb:[0.3646, 0.4791], phi:[0.5]] | [X:[], M:[[1], [2], [-2], [-3], [-1], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_2^2$, $ M_3M_6$, $ M_6q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ M_2M_5$, $ M_3M_5$, $ M_5q_2\tilde{q}_1$, $ M_6\phi_1^2$, $ M_2\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_6$, $ M_1M_2$, $ M_4M_6$, $ M_6q_1q_2$, $ M_1M_3$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_2q_1q_2$, $ M_6q_1\tilde{q}_2$, $ M_3M_4$, $ M_3q_1q_2$, $ M_4q_2\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$ | $M_1M_5$ | 0 | t^2.06 + t^2.19 + 2*t^2.31 + t^2.66 + t^3. + t^3.34 + 2*t^3.47 + t^3.69 + t^4.03 + t^4.12 + t^4.16 + t^4.25 + 4*t^4.37 + 2*t^4.5 + 3*t^4.63 + t^4.72 + t^4.84 + 2*t^4.97 + t^5.06 + t^5.19 + 3*t^5.31 + t^5.41 + 3*t^5.53 + 4*t^5.66 + t^5.75 + 3*t^5.78 + t^6.09 + t^6.13 + t^6.19 + t^6.22 + t^6.31 + 2*t^6.34 + 4*t^6.44 + 2*t^6.47 + 4*t^6.56 + 7*t^6.69 + t^6.78 + 4*t^6.81 + t^6.91 + 6*t^6.94 + 4*t^7.03 + t^7.12 + t^7.16 + t^7.25 + t^7.28 + 4*t^7.37 + t^7.47 + 2*t^7.5 + 3*t^7.59 + 4*t^7.63 + 5*t^7.72 + t^7.81 + 6*t^7.84 + 5*t^7.97 + t^8.06 + 4*t^8.09 + t^8.15 - 2*t^8.19 + t^8.25 + t^8.28 + t^8.37 + 3*t^8.41 + t^8.44 + 4*t^8.5 + 2*t^8.53 + 4*t^8.62 + 10*t^8.75 + 3*t^8.78 + t^8.84 + 6*t^8.87 + t^8.97 - t^4.5/y - t^6.56/y - t^6.69/y - t^6.81/y + t^7.03/y + t^7.25/y + (2*t^7.37)/y + (2*t^7.5)/y + t^7.63/y + t^7.72/y + t^7.84/y + t^7.97/y + t^8.06/y + (2*t^8.19)/y + (3*t^8.31)/y + t^8.41/y + t^8.44/y + (3*t^8.53)/y - t^8.62/y + (5*t^8.66)/y + (4*t^8.78)/y - t^8.87/y - t^4.5*y - t^6.56*y - t^6.69*y - t^6.81*y + t^7.03*y + t^7.25*y + 2*t^7.37*y + 2*t^7.5*y + t^7.63*y + t^7.72*y + t^7.84*y + t^7.97*y + t^8.06*y + 2*t^8.19*y + 3*t^8.31*y + t^8.41*y + t^8.44*y + 3*t^8.53*y - t^8.62*y + 5*t^8.66*y + 4*t^8.78*y - t^8.87*y | g1^6*t^2.06 + g1^2*t^2.19 + (2*t^2.31)/g1^2 + t^2.66/g1 + t^3. + g1*t^3.34 + (2*t^3.47)/g1^3 + g1^2*t^3.69 + g1^3*t^4.03 + g1^12*t^4.12 + t^4.16/g1 + g1^8*t^4.25 + 4*g1^4*t^4.37 + 2*t^4.5 + (3*t^4.63)/g1^4 + g1^5*t^4.72 + g1*t^4.84 + (2*t^4.97)/g1^3 + g1^6*t^5.06 + g1^2*t^5.19 + (3*t^5.31)/g1^2 + g1^7*t^5.41 + 3*g1^3*t^5.53 + (4*t^5.66)/g1 + g1^8*t^5.75 + (3*t^5.78)/g1^5 + g1^9*t^6.09 + t^6.13/g1^4 + g1^18*t^6.19 + g1^5*t^6.22 + g1^14*t^6.31 + 2*g1*t^6.34 + 4*g1^10*t^6.44 + (2*t^6.47)/g1^3 + 4*g1^6*t^6.56 + 7*g1^2*t^6.69 + g1^11*t^6.78 + (4*t^6.81)/g1^2 + g1^7*t^6.91 + (6*t^6.94)/g1^6 + 4*g1^3*t^7.03 + g1^12*t^7.12 + t^7.16/g1 + g1^8*t^7.25 + t^7.28/g1^5 + 4*g1^4*t^7.37 + g1^13*t^7.47 + 2*t^7.5 + 3*g1^9*t^7.59 + (4*t^7.63)/g1^4 + 5*g1^5*t^7.72 + g1^14*t^7.81 + 6*g1*t^7.84 + (5*t^7.97)/g1^3 + g1^6*t^8.06 + (4*t^8.09)/g1^7 + g1^15*t^8.15 - 2*g1^2*t^8.19 + g1^24*t^8.25 + g1^11*t^8.28 + g1^20*t^8.37 + 3*g1^7*t^8.41 + t^8.44/g1^6 + 4*g1^16*t^8.5 + 2*g1^3*t^8.53 + 4*g1^12*t^8.62 + 10*g1^8*t^8.75 + (3*t^8.78)/g1^5 + g1^17*t^8.84 + 6*g1^4*t^8.87 + g1^13*t^8.97 - t^4.5/y - (g1^6*t^6.56)/y - (g1^2*t^6.69)/y - t^6.81/(g1^2*y) + (g1^3*t^7.03)/y + (g1^8*t^7.25)/y + (2*g1^4*t^7.37)/y + (2*t^7.5)/y + t^7.63/(g1^4*y) + (g1^5*t^7.72)/y + (g1*t^7.84)/y + t^7.97/(g1^3*y) + (g1^6*t^8.06)/y + (2*g1^2*t^8.19)/y + (3*t^8.31)/(g1^2*y) + (g1^7*t^8.41)/y + t^8.44/(g1^6*y) + (3*g1^3*t^8.53)/y - (g1^12*t^8.62)/y + (5*t^8.66)/(g1*y) + (4*t^8.78)/(g1^5*y) - (g1^4*t^8.87)/y - t^4.5*y - g1^6*t^6.56*y - g1^2*t^6.69*y - (t^6.81*y)/g1^2 + g1^3*t^7.03*y + g1^8*t^7.25*y + 2*g1^4*t^7.37*y + 2*t^7.5*y + (t^7.63*y)/g1^4 + g1^5*t^7.72*y + g1*t^7.84*y + (t^7.97*y)/g1^3 + g1^6*t^8.06*y + 2*g1^2*t^8.19*y + (3*t^8.31*y)/g1^2 + g1^7*t^8.41*y + (t^8.44*y)/g1^6 + 3*g1^3*t^8.53*y - g1^12*t^8.62*y + (5*t^8.66*y)/g1 + (4*t^8.78*y)/g1^5 - g1^4*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 56857 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ | 0.6495 | 0.8414 | 0.7719 | [X:[], M:[1.1429, 0.7857, 0.7143, 1.0714, 0.8571, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]] | 2*t^2.14 + t^2.36 + 2*t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.86 + t^4.07 + 4*t^4.29 + 2*t^4.5 + 6*t^4.71 + 2*t^4.93 + 5*t^5.14 + 4*t^5.36 + 5*t^5.57 + 4*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 57027/87808, c: 73883/87808, M1: 8/7, M2: 11/14, M3: 5/7, M4: 15/14, M5: 6/7, M6: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47047 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6467 | 0.8249 | 0.784 | [X:[], M:[1.1169, 0.7339, 0.7661, 1.1492, 0.8831], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]] | t^2.2 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.45 + t^3.7 + t^3.9 + t^4.05 + t^4.15 + 2*t^4.4 + 2*t^4.5 + 3*t^4.6 + t^4.85 + 2*t^4.95 + t^5.2 + 3*t^5.3 + t^5.55 + 4*t^5.65 + 3*t^5.75 - t^4.5/y - t^4.5*y | detail |