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 |
|---|---|---|---|---|---|---|---|---|---|
| 5151 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.6468 | 0.8588 | 0.7532 | [X:[], M:[0.9564, 1.1307, 0.9564, 0.8693, 0.6955, 0.6961, 0.8693, 1.0436], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]] | [X:[], M:[[4], [-12], [4], [12], [5], [-18], [12], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_7$, $ M_1$, $ M_8$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_6$, $ M_1M_5$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_6M_8$, $ M_5M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_8q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_8q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6q_1\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_4M_8$, $ M_7M_8$, $ M_5q_1\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_1M_8$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | 1 | 3*t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.65 + 6*t^4.17 + t^4.18 + 3*t^4.43 + t^4.44 + 4*t^4.69 + 3*t^4.7 + 5*t^4.96 + 7*t^5.22 + 5*t^5.48 + 7*t^5.74 + t^6. + 14*t^6.26 + 9*t^6.52 + 16*t^6.78 + 12*t^7.04 + t^7.05 + 15*t^7.3 + 3*t^7.31 + 10*t^7.56 + 2*t^7.57 + 4*t^7.82 + 14*t^7.83 + 4*t^8.09 + 23*t^8.35 + 12*t^8.61 + 25*t^8.87 - t^4.57/y - (2*t^6.65)/y + (2*t^7.17)/y + (2*t^7.43)/y + t^7.44/y + (4*t^7.69)/y + (2*t^7.7)/y + (6*t^7.96)/y + (5*t^8.22)/y + (8*t^8.48)/y + (6*t^8.74)/y - t^4.57*y - 2*t^6.65*y + 2*t^7.17*y + 2*t^7.43*y + t^7.44*y + 4*t^7.69*y + 2*t^7.7*y + 6*t^7.96*y + 5*t^8.22*y + 8*t^8.48*y + 6*t^8.74*y | t^2.09/g1^18 + 2*g1^5*t^2.09 + t^2.35/g1^3 + 2*g1^12*t^2.61 + g1^4*t^2.87 + t^3.13/g1^4 + g1^11*t^3.39 + 2*g1^3*t^3.65 + (2*t^4.17)/g1^13 + 4*g1^10*t^4.17 + t^4.18/g1^36 + 3*g1^2*t^4.43 + t^4.44/g1^21 + 4*g1^17*t^4.69 + (3*t^4.7)/g1^6 + t^4.96/g1^14 + 4*g1^9*t^4.96 + t^5.22/g1^22 + 3*g1*t^5.22 + 3*g1^24*t^5.22 + t^5.48/g1^7 + 4*g1^16*t^5.48 + t^5.74/g1^15 + 6*g1^8*t^5.74 - t^6. + 2*g1^23*t^6. + t^6.26/g1^54 + (2*t^6.26)/g1^31 + (2*t^6.26)/g1^8 + 9*g1^15*t^6.26 + t^6.52/g1^39 + (3*t^6.52)/g1^16 + 5*g1^7*t^6.52 + (3*t^6.78)/g1^24 + (5*t^6.78)/g1 + 8*g1^22*t^6.78 + (2*t^7.04)/g1^9 + 10*g1^14*t^7.04 + t^7.05/g1^32 + 9*g1^6*t^7.3 + 6*g1^29*t^7.3 + t^7.31/g1^40 + (2*t^7.31)/g1^17 + 10*g1^21*t^7.56 + t^7.57/g1^25 + t^7.57/g1^2 + 4*g1^36*t^7.82 + t^7.83/g1^33 + (2*t^7.83)/g1^10 + 11*g1^13*t^7.83 - (2*t^8.09)/g1^18 - g1^5*t^8.09 + 7*g1^28*t^8.09 + t^8.35/g1^72 + (2*t^8.35)/g1^49 + (2*t^8.35)/g1^26 + t^8.35/g1^3 + 17*g1^20*t^8.35 + t^8.61/g1^57 + (3*t^8.61)/g1^34 + t^8.61/g1^11 + 4*g1^12*t^8.61 + 3*g1^35*t^8.61 + (3*t^8.87)/g1^42 + (4*t^8.87)/g1^19 + 2*g1^4*t^8.87 + 16*g1^27*t^8.87 - t^4.57/(g1^2*y) - t^6.65/(g1^20*y) - (g1^3*t^6.65)/y + (2*t^7.17)/(g1^13*y) + (2*g1^2*t^7.43)/y + t^7.44/(g1^21*y) + (4*g1^17*t^7.69)/y + (2*t^7.7)/(g1^6*y) + (2*t^7.96)/(g1^14*y) + (4*g1^9*t^7.96)/y + t^8.22/(g1^22*y) + (3*g1*t^8.22)/y + (g1^24*t^8.22)/y + (3*t^8.48)/(g1^7*y) + (5*g1^16*t^8.48)/y - t^8.74/(g1^38*y) + t^8.74/(g1^15*y) + (6*g1^8*t^8.74)/y - (t^4.57*y)/g1^2 - (t^6.65*y)/g1^20 - g1^3*t^6.65*y + (2*t^7.17*y)/g1^13 + 2*g1^2*t^7.43*y + (t^7.44*y)/g1^21 + 4*g1^17*t^7.69*y + (2*t^7.7*y)/g1^6 + (2*t^7.96*y)/g1^14 + 4*g1^9*t^7.96*y + (t^8.22*y)/g1^22 + 3*g1*t^8.22*y + g1^24*t^8.22*y + (3*t^8.48*y)/g1^7 + 5*g1^16*t^8.48*y - (t^8.74*y)/g1^38 + (t^8.74*y)/g1^15 + 6*g1^8*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 6723 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_1M_9$ | 0.6429 | 0.8517 | 0.7548 | [X:[], M:[0.9594, 1.1218, 0.9594, 0.8782, 0.6993, 0.6826, 0.8782, 1.0406, 1.0406], q:[0.7399, 0.3007], qb:[0.4797, 0.3985], phi:[0.5203]] | t^2.05 + 2*t^2.1 + t^2.34 + 2*t^2.63 + 2*t^3.12 + t^3.42 + 2*t^3.66 + t^4.1 + 2*t^4.15 + 4*t^4.2 + t^4.39 + 3*t^4.44 + 3*t^4.68 + 4*t^4.73 + 2*t^4.98 + 2*t^5.17 + 4*t^5.22 + 3*t^5.27 + 2*t^5.46 + 2*t^5.51 + t^5.71 + 7*t^5.76 - 2*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3496 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.651 | 0.8665 | 0.7513 | [X:[], M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]] | 2*t^2.08 + t^2.13 + t^2.35 + 2*t^2.58 + 2*t^2.86 + t^3.37 + 2*t^3.65 + 4*t^4.15 + 2*t^4.2 + t^4.26 + 3*t^4.43 + t^4.48 + 4*t^4.66 + 3*t^4.71 + 6*t^4.94 + 2*t^4.99 + 3*t^5.16 + 2*t^5.22 + 6*t^5.44 + 6*t^5.72 + t^5.77 + 2*t^5.95 - 2*t^6. - t^4.57/y - t^4.57*y | detail |