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 |
|---|---|---|---|---|---|---|---|---|---|
| 1847 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.6657 | 0.832 | 0.8002 | [X:[], M:[1.1198, 0.7298, 0.8802, 0.8802, 0.6797], q:[0.805, 0.5153], qb:[0.3649, 0.7549], phi:[0.39]] | [X:[], M:[[16], [14], [-16], [-16], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_5$, $ \phi_1q_2^2$, $ M_2^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_5$, $ M_1M_2$, $ M_5q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1q_2\tilde{q}_1$ | . | -1 | t^2.04 + t^2.19 + t^2.34 + 2*t^2.64 + t^3.36 + t^3.51 + t^3.81 + t^4.08 + t^4.23 + t^4.26 + 2*t^4.38 + 2*t^4.53 + 4*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.28 + t^5.4 + t^5.55 + 3*t^5.7 + t^5.85 - t^6. + t^6.12 + 2*t^6.15 + t^6.27 + 2*t^6.42 + t^6.45 + 3*t^6.57 + t^6.6 + 5*t^6.72 + 4*t^6.87 + 2*t^6.9 + 5*t^7.02 + t^7.17 + 5*t^7.32 + t^7.44 + t^7.59 + 3*t^7.62 + 3*t^7.74 + 3*t^7.89 + t^7.92 + 2*t^8.04 + t^8.07 + t^8.16 - t^8.19 + t^8.31 - t^8.34 + 2*t^8.46 + t^8.49 + t^8.52 + 3*t^8.61 - 5*t^8.64 + 6*t^8.76 + 2*t^8.79 + 5*t^8.91 + t^8.94 - t^4.17/y - t^6.21/y - t^6.36/y - t^6.51/y - t^6.81/y + t^7.23/y + t^7.38/y + (2*t^7.53)/y + (2*t^7.68)/y + (3*t^7.83)/y + (3*t^7.98)/y + t^8.13/y - t^8.25/y + t^8.28/y + t^8.7/y - t^4.17*y - t^6.21*y - t^6.36*y - t^6.51*y - t^6.81*y + t^7.23*y + t^7.38*y + 2*t^7.53*y + 2*t^7.68*y + 3*t^7.83*y + 3*t^7.98*y + t^8.13*y - t^8.25*y + t^8.28*y + t^8.7*y | g1^24*t^2.04 + g1^14*t^2.19 + g1^4*t^2.34 + (2*t^2.64)/g1^16 + g1^16*t^3.36 + g1^6*t^3.51 + t^3.81/g1^14 + g1^48*t^4.08 + g1^38*t^4.23 + t^4.26/g1^44 + 2*g1^28*t^4.38 + 2*g1^18*t^4.53 + 4*g1^8*t^4.68 + t^4.83/g1^2 + (3*t^4.98)/g1^12 + (2*t^5.28)/g1^32 + g1^40*t^5.4 + g1^30*t^5.55 + 3*g1^20*t^5.7 + g1^10*t^5.85 - t^6. + g1^72*t^6.12 + (2*t^6.15)/g1^10 + g1^62*t^6.27 + 2*g1^52*t^6.42 + t^6.45/g1^30 + 3*g1^42*t^6.57 + t^6.6/g1^40 + 5*g1^32*t^6.72 + 4*g1^22*t^6.87 + (2*t^6.9)/g1^60 + 5*g1^12*t^7.02 + g1^2*t^7.17 + (5*t^7.32)/g1^8 + g1^64*t^7.44 + g1^54*t^7.59 + (3*t^7.62)/g1^28 + 3*g1^44*t^7.74 + 3*g1^34*t^7.89 + t^7.92/g1^48 + 2*g1^24*t^8.04 + t^8.07/g1^58 + g1^96*t^8.16 - g1^14*t^8.19 + g1^86*t^8.31 - g1^4*t^8.34 + 2*g1^76*t^8.46 + t^8.49/g1^6 + t^8.52/g1^88 + 3*g1^66*t^8.61 - (5*t^8.64)/g1^16 + 6*g1^56*t^8.76 + (2*t^8.79)/g1^26 + 5*g1^46*t^8.91 + t^8.94/g1^36 - (g1^2*t^4.17)/y - (g1^26*t^6.21)/y - (g1^16*t^6.36)/y - (g1^6*t^6.51)/y - t^6.81/(g1^14*y) + (g1^38*t^7.23)/y + (g1^28*t^7.38)/y + (2*g1^18*t^7.53)/y + (2*g1^8*t^7.68)/y + (3*t^7.83)/(g1^2*y) + (3*t^7.98)/(g1^12*y) + t^8.13/(g1^22*y) - (g1^50*t^8.25)/y + t^8.28/(g1^32*y) + (g1^20*t^8.7)/y - g1^2*t^4.17*y - g1^26*t^6.21*y - g1^16*t^6.36*y - g1^6*t^6.51*y - (t^6.81*y)/g1^14 + g1^38*t^7.23*y + g1^28*t^7.38*y + 2*g1^18*t^7.53*y + 2*g1^8*t^7.68*y + (3*t^7.83*y)/g1^2 + (3*t^7.98*y)/g1^12 + (t^8.13*y)/g1^22 - g1^50*t^8.25*y + (t^8.28*y)/g1^32 + g1^20*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 2870 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1q_2$ + $ M_1M_6$ | 0.677 | 0.851 | 0.7956 | [X:[], M:[1.1331, 0.7415, 0.8669, 0.8669, 0.6997, 0.8669], q:[0.8042, 0.4961], qb:[0.3708, 0.7624], phi:[0.3916]] | t^2.1 + t^2.22 + t^2.35 + 3*t^2.6 + t^3.52 + t^3.78 + t^4.15 + t^4.2 + t^4.32 + 2*t^4.45 + 2*t^4.57 + 5*t^4.7 + 2*t^4.83 + 4*t^4.95 + 5*t^5.2 + 2*t^5.75 + t^5.87 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 435 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.645 | 0.7913 | 0.8151 | [X:[], M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.2 + t^2.34 + 2*t^2.63 + t^3.37 + t^3.51 + t^3.8 + t^3.95 + t^4.24 + t^4.39 + 2*t^4.54 + 2*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.27 + 3*t^5.71 - t^6. - t^4.17/y - t^4.17*y | detail |