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 |
|---|---|---|---|---|---|---|---|---|---|
| 4240 | 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_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.6824 | 0.8623 | 0.7914 | [X:[], M:[1.1216, 0.7314, 0.8784, 0.8784, 1.2196, 0.7314, 0.6824, 0.8294], q:[0.8049, 0.5127], qb:[0.3657, 0.7559], phi:[0.3902]] | [X:[], M:[[16], [14], [-16], [-16], [-4], [14], [24], [-6]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ M_8$, $ M_3$, $ M_4$, $ M_1$, $ M_5$, $ M_7^2$, $ M_2M_7$, $ M_6M_7$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_7$, $ M_4M_7$, $ M_2M_8$, $ M_6M_8$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_6$, $ M_4M_6$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_8$, $ M_4M_8$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1M_7$, $ M_1M_2$, $ M_1M_6$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_5M_6$, $ M_1M_8$ | . | -2 | t^2.05 + 2*t^2.19 + t^2.49 + 2*t^2.64 + t^3.36 + t^3.66 + t^4.09 + 2*t^4.24 + t^4.25 + 3*t^4.39 + 2*t^4.54 + 5*t^4.68 + 3*t^4.83 + 2*t^4.98 + 2*t^5.12 + 2*t^5.27 + t^5.41 + t^5.56 + 2*t^5.71 + 2*t^5.85 - 2*t^6. + t^6.14 + 4*t^6.29 + 3*t^6.44 + 6*t^6.58 + 6*t^6.73 + t^6.74 + 9*t^6.88 + 6*t^7.02 + 5*t^7.17 + 5*t^7.32 + 5*t^7.46 + 3*t^7.61 + 3*t^7.75 + t^7.76 + 4*t^7.9 + 2*t^7.91 - 4*t^8.19 + 4*t^8.34 + 3*t^8.48 - 3*t^8.49 + 6*t^8.63 - 5*t^8.64 + 11*t^8.78 + 8*t^8.92 + 2*t^8.93 - t^4.17/y - t^6.22/y - (2*t^6.36)/y - t^6.66/y - t^6.81/y + (2*t^7.24)/y + t^7.39/y + (2*t^7.54)/y + (5*t^7.68)/y + (4*t^7.83)/y + (2*t^7.98)/y + (3*t^8.12)/y - t^8.26/y + t^8.27/y - t^8.41/y - t^8.56/y - t^4.17*y - t^6.22*y - 2*t^6.36*y - t^6.66*y - t^6.81*y + 2*t^7.24*y + t^7.39*y + 2*t^7.54*y + 5*t^7.68*y + 4*t^7.83*y + 2*t^7.98*y + 3*t^8.12*y - t^8.26*y + t^8.27*y - t^8.41*y - t^8.56*y | g1^24*t^2.05 + 2*g1^14*t^2.19 + t^2.49/g1^6 + (2*t^2.64)/g1^16 + g1^16*t^3.36 + t^3.66/g1^4 + g1^48*t^4.09 + 2*g1^38*t^4.24 + t^4.25/g1^44 + 3*g1^28*t^4.39 + 2*g1^18*t^4.54 + 5*g1^8*t^4.68 + (3*t^4.83)/g1^2 + (2*t^4.98)/g1^12 + (2*t^5.12)/g1^22 + (2*t^5.27)/g1^32 + g1^40*t^5.41 + g1^30*t^5.56 + 2*g1^20*t^5.71 + 2*g1^10*t^5.85 - 2*t^6. + g1^72*t^6.14 + (2*t^6.29)/g1^20 + 2*g1^62*t^6.29 + 3*g1^52*t^6.44 + 6*g1^42*t^6.58 + 6*g1^32*t^6.73 + t^6.74/g1^50 + (2*t^6.88)/g1^60 + 7*g1^22*t^6.88 + 6*g1^12*t^7.02 + 5*g1^2*t^7.17 + (5*t^7.32)/g1^8 + (4*t^7.46)/g1^18 + g1^64*t^7.46 + (2*t^7.61)/g1^28 + g1^54*t^7.61 + 3*g1^44*t^7.75 + t^7.76/g1^38 + 4*g1^34*t^7.9 + (2*t^7.91)/g1^48 - 5*g1^14*t^8.19 + g1^96*t^8.19 + 2*g1^4*t^8.34 + 2*g1^86*t^8.34 + 3*g1^76*t^8.48 + t^8.49/g1^88 - (4*t^8.49)/g1^6 + 6*g1^66*t^8.63 - (5*t^8.64)/g1^16 + 11*g1^56*t^8.78 + 8*g1^46*t^8.92 + (2*t^8.93)/g1^36 - (g1^2*t^4.17)/y - (g1^26*t^6.22)/y - (2*g1^16*t^6.36)/y - t^6.66/(g1^4*y) - t^6.81/(g1^14*y) + (2*g1^38*t^7.24)/y + (g1^28*t^7.39)/y + (2*g1^18*t^7.54)/y + (5*g1^8*t^7.68)/y + (4*t^7.83)/(g1^2*y) + (2*t^7.98)/(g1^12*y) + (3*t^8.12)/(g1^22*y) - (g1^50*t^8.26)/y + t^8.27/(g1^32*y) - (g1^40*t^8.41)/y - (g1^30*t^8.56)/y - g1^2*t^4.17*y - g1^26*t^6.22*y - 2*g1^16*t^6.36*y - (t^6.66*y)/g1^4 - (t^6.81*y)/g1^14 + 2*g1^38*t^7.24*y + g1^28*t^7.39*y + 2*g1^18*t^7.54*y + 5*g1^8*t^7.68*y + (4*t^7.83*y)/g1^2 + (2*t^7.98*y)/g1^12 + (3*t^8.12*y)/g1^22 - g1^50*t^8.26*y + (t^8.27*y)/g1^32 - g1^40*t^8.41*y - g1^30*t^8.56*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 |
|---|---|---|---|---|---|---|---|---|
| 5722 | $\phi_1q_1^2$ + $ 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_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ + $ M_7M_9$ | 0.6617 | 0.8218 | 0.8052 | [X:[], M:[1.1241, 0.7336, 0.8759, 0.8759, 1.219, 0.7336, 0.6862, 0.8285, 1.3138], q:[0.8047, 0.5091], qb:[0.3668, 0.7573], phi:[0.3905]] | 2*t^2.2 + t^2.49 + 2*t^2.63 + t^3.37 + t^3.66 + t^3.94 + t^4.23 + 3*t^4.4 + t^4.54 + 3*t^4.69 + 3*t^4.83 + 2*t^4.97 + 2*t^5.11 + 2*t^5.26 + t^5.57 + t^5.72 + 2*t^5.86 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2243 | 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_5\phi_1^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1q_2$ | 0.6679 | 0.8375 | 0.7975 | [X:[], M:[1.1174, 0.7277, 0.8826, 0.8826, 1.2207, 0.7277, 0.6761], q:[0.8052, 0.5188], qb:[0.3639, 0.7535], phi:[0.3897]] | t^2.03 + 2*t^2.18 + 2*t^2.65 + t^3.35 + t^3.51 + t^3.66 + t^4.06 + 2*t^4.21 + t^4.28 + 3*t^4.37 + t^4.52 + 3*t^4.68 + 3*t^4.83 + t^4.99 + 2*t^5.3 + t^5.38 + 2*t^5.54 + 4*t^5.69 + t^5.85 - 2*t^6. - t^4.17/y - t^4.17*y | detail |