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 |
|---|---|---|---|---|---|---|---|---|---|
| 8817 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 1.1676 | 1.3075 | 0.893 | [X:[1.6193], M:[1.0484, 0.9516, 0.9516, 0.8549], q:[0.3807, 0.4774], qb:[], phi:[0.1903]] | [X:[[2]], M:[[5], [-5], [-5], [-15]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_4$, $ q_1q_2$, $ M_2$, $ M_3$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_4\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_4^2$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ M_4q_1q_2$, $ q_1^2q_2^2$, $ M_2M_4$, $ M_3M_4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.28 + t^2.56 + t^2.57 + 2*t^2.85 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + 2*t^4.86 + t^5.13 + 3*t^5.14 + t^5.15 + 2*t^5.42 + 2*t^5.43 + 2*t^5.71 - t^6. + t^6.28 + t^6.56 + 3*t^6.57 + 3*t^6.85 + t^6.86 + t^7.13 + 4*t^7.14 + t^7.15 + t^7.41 + 3*t^7.42 + 3*t^7.43 + t^7.69 + 3*t^7.7 + 4*t^7.71 + t^7.72 + 2*t^7.98 + 5*t^7.99 + t^8. + 2*t^8.27 + 3*t^8.28 + t^8.56 - t^8.57 - 2*t^8.85 + t^8.86 + t^8.28/y^2 - t^8.85/y^2 - t^3.57/y - t^4.71/y - t^5.85/y - t^6.14/y - t^6.15/y - (2*t^6.43)/y - t^7./y - t^7.28/y - t^7.29/y - (2*t^7.57)/y + t^7.85/y + t^7.86/y + (2*t^8.14)/y + t^8.42/y + t^8.43/y - t^8.7/y - (2*t^8.71)/y - t^8.72/y - (2*t^8.99)/y - t^3.57*y - t^4.71*y - t^5.85*y - t^6.14*y - t^6.15*y - 2*t^6.43*y - t^7.*y - t^7.28*y - t^7.29*y - 2*t^7.57*y + t^7.85*y + t^7.86*y + 2*t^8.14*y + t^8.42*y + t^8.43*y - t^8.7*y - 2*t^8.71*y - t^8.72*y - 2*t^8.99*y + t^8.28*y^2 - t^8.85*y^2 | t^2.28/g1^4 + t^2.56/g1^15 + g1^6*t^2.57 + (2*t^2.85)/g1^5 + g1^4*t^3.72 + t^4./g1^7 + g1^3*t^4.29 + t^4.57/g1^8 + g1^13*t^4.58 + t^4.85/g1^19 + 2*g1^2*t^4.86 + t^5.13/g1^30 + (3*t^5.14)/g1^9 + g1^12*t^5.15 + (2*t^5.42)/g1^20 + 2*g1*t^5.43 + (2*t^5.71)/g1^10 - t^6. + t^6.28/g1^11 + t^6.56/g1^22 + (3*t^6.57)/g1 + (3*t^6.85)/g1^12 + g1^9*t^6.86 + t^7.13/g1^23 + (4*t^7.14)/g1^2 + g1^19*t^7.15 + t^7.41/g1^34 + (3*t^7.42)/g1^13 + 3*g1^8*t^7.43 + t^7.69/g1^45 + (3*t^7.7)/g1^24 + (4*t^7.71)/g1^3 + g1^18*t^7.72 + (2*t^7.98)/g1^35 + (5*t^7.99)/g1^14 + g1^7*t^8. + (2*t^8.27)/g1^25 + (3*t^8.28)/g1^4 + t^8.56/g1^15 - g1^6*t^8.57 + t^8.85/g1^26 - (3*t^8.85)/g1^5 + g1^16*t^8.86 + t^8.28/(g1^4*y^2) - t^8.85/(g1^5*y^2) - t^3.57/(g1*y) - t^4.71/(g1^3*y) - t^5.85/(g1^5*y) - t^6.14/(g1^16*y) - (g1^5*t^6.15)/y - (2*t^6.43)/(g1^6*y) - t^7./(g1^7*y) - t^7.28/(g1^18*y) - (g1^3*t^7.29)/y - (2*t^7.57)/(g1^8*y) + t^7.85/(g1^19*y) + (g1^2*t^7.86)/y + (2*t^8.14)/(g1^9*y) + t^8.42/(g1^20*y) + (g1*t^8.43)/y - t^8.7/(g1^31*y) - (2*t^8.71)/(g1^10*y) - (g1^11*t^8.72)/y - (2*t^8.99)/(g1^21*y) - (t^3.57*y)/g1 - (t^4.71*y)/g1^3 - (t^5.85*y)/g1^5 - (t^6.14*y)/g1^16 - g1^5*t^6.15*y - (2*t^6.43*y)/g1^6 - (t^7.*y)/g1^7 - (t^7.28*y)/g1^18 - g1^3*t^7.29*y - (2*t^7.57*y)/g1^8 + (t^7.85*y)/g1^19 + g1^2*t^7.86*y + (2*t^8.14*y)/g1^9 + (t^8.42*y)/g1^20 + g1*t^8.43*y - (t^8.7*y)/g1^31 - (2*t^8.71*y)/g1^10 - g1^11*t^8.72*y - (2*t^8.99*y)/g1^21 + (t^8.28*y^2)/g1^4 - (t^8.85*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8903 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ + $ M_4\phi_1^4$ | 1.108 | 1.2428 | 0.8915 | [X:[1.5789], M:[0.9474, 1.0526, 1.0526, 1.1579], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + t^2.53 + 2*t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + t^5.05 + 2*t^5.37 + 3*t^5.68 + t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 121593/109744, c: 68197/54872, X1: 30/19, M1: 18/19, M2: 20/19, M3: 20/19, M4: 22/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8650 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ | 1.1573 | 1.2912 | 0.8963 | [X:[1.6106], M:[1.0265, 0.9735, 0.9735], q:[0.3894, 0.4424], qb:[], phi:[0.1947]] | t^2.34 + t^2.5 + 2*t^2.92 + t^3.24 + t^3.66 + t^4.09 + t^4.25 + t^4.41 + t^4.67 + 2*t^4.83 + t^4.99 + 2*t^5.26 + 2*t^5.42 + t^5.58 + t^5.73 + 2*t^5.84 - t^6. - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |