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 |
|---|---|---|---|---|---|---|---|---|---|
| 4459 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.6842 | 0.8731 | 0.7837 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8515, 0.7227, 0.8515, 0.7656, 0.8301], q:[0.7979, 0.7764], qb:[0.4365, 0.3721], phi:[0.4043]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [-24], [16], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_3$, $ \phi_1^2$, $ M_8$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_3M_5$, $ M_7^2$, $ M_5\phi_1^2$, $ M_3M_7$, $ M_5M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_5M_6$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_7M_8$, $ M_3\phi_1^2$, $ M_4M_7$, $ M_6M_7$, $ M_3M_8$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_6$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_8^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4M_8$, $ M_6M_8$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1q_2^2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.17 + t^2.3 + t^2.36 + t^2.43 + t^2.49 + 2*t^2.55 + t^3.57 + t^3.64 + t^4.34 + t^4.47 + t^4.53 + 2*t^4.59 + 3*t^4.66 + 5*t^4.72 + t^4.79 + 5*t^4.85 + 3*t^4.92 + 2*t^4.98 + 2*t^5.04 + 3*t^5.11 + t^5.74 + 2*t^5.87 + t^5.94 - 2*t^6. + t^6.06 + 2*t^6.13 + t^6.5 + t^6.63 + t^6.7 + 2*t^6.76 + 3*t^6.83 + 6*t^6.89 + 3*t^6.96 + 6*t^7.02 + 5*t^7.08 + 7*t^7.15 + 7*t^7.21 + 9*t^7.28 + 4*t^7.34 + 7*t^7.41 + 5*t^7.47 + 3*t^7.53 + 3*t^7.6 + 4*t^7.66 + t^7.91 + 2*t^8.04 - 2*t^8.17 + t^8.23 - t^8.3 - 4*t^8.36 - 2*t^8.49 - 7*t^8.55 + t^8.67 + t^8.68 - t^8.75 + t^8.8 + t^8.87 + 2*t^8.93 + 3*t^8.99 - t^4.21/y - t^6.38/y - t^6.51/y - t^6.57/y - t^6.7/y - (2*t^6.77)/y + t^7.47/y + t^7.53/y + t^7.59/y + (4*t^7.66)/y + (4*t^7.72)/y + (2*t^7.79)/y + (4*t^7.85)/y + (4*t^7.92)/y + (2*t^7.98)/y + (3*t^8.04)/y + t^8.11/y - t^8.55/y - t^8.68/y - t^8.87/y - t^8.94/y - t^4.21*y - t^6.38*y - t^6.51*y - t^6.57*y - t^6.7*y - 2*t^6.77*y + t^7.47*y + t^7.53*y + t^7.59*y + 4*t^7.66*y + 4*t^7.72*y + 2*t^7.79*y + 4*t^7.85*y + 4*t^7.92*y + 2*t^7.98*y + 3*t^8.04*y + t^8.11*y - t^8.55*y - t^8.68*y - t^8.87*y - t^8.94*y | g1^36*t^2.17 + g1^16*t^2.3 + g1^6*t^2.36 + t^2.43/g1^4 + t^2.49/g1^14 + (2*t^2.55)/g1^24 + g1^4*t^3.57 + t^3.64/g1^6 + g1^72*t^4.34 + g1^52*t^4.47 + g1^42*t^4.53 + 2*g1^32*t^4.59 + 3*g1^22*t^4.66 + 5*g1^12*t^4.72 + g1^2*t^4.79 + (5*t^4.85)/g1^8 + (3*t^4.92)/g1^18 + (2*t^4.98)/g1^28 + (2*t^5.04)/g1^38 + (3*t^5.11)/g1^48 + g1^40*t^5.74 + 2*g1^20*t^5.87 + g1^10*t^5.94 - 2*t^6. + t^6.06/g1^10 + (2*t^6.13)/g1^20 + g1^108*t^6.5 + g1^88*t^6.63 + g1^78*t^6.7 + 2*g1^68*t^6.76 + 3*g1^58*t^6.83 + 6*g1^48*t^6.89 + 3*g1^38*t^6.96 + 6*g1^28*t^7.02 + 5*g1^18*t^7.08 + 7*g1^8*t^7.15 + (7*t^7.21)/g1^2 + (9*t^7.28)/g1^12 + (4*t^7.34)/g1^22 + (7*t^7.41)/g1^32 + (5*t^7.47)/g1^42 + (3*t^7.53)/g1^52 + (3*t^7.6)/g1^62 + (4*t^7.66)/g1^72 + g1^76*t^7.91 + 2*g1^56*t^8.04 - 2*g1^36*t^8.17 + g1^26*t^8.23 - g1^16*t^8.3 - 4*g1^6*t^8.36 - (2*t^8.49)/g1^14 - (7*t^8.55)/g1^24 + g1^144*t^8.67 + t^8.68/g1^44 - t^8.75/g1^54 + g1^124*t^8.8 + g1^114*t^8.87 + 2*g1^104*t^8.93 + 3*g1^94*t^8.99 - t^4.21/(g1^2*y) - (g1^34*t^6.38)/y - (g1^14*t^6.51)/y - (g1^4*t^6.57)/y - t^6.7/(g1^16*y) - (2*t^6.77)/(g1^26*y) + (g1^52*t^7.47)/y + (g1^42*t^7.53)/y + (g1^32*t^7.59)/y + (4*g1^22*t^7.66)/y + (4*g1^12*t^7.72)/y + (2*g1^2*t^7.79)/y + (4*t^7.85)/(g1^8*y) + (4*t^7.92)/(g1^18*y) + (2*t^7.98)/(g1^28*y) + (3*t^8.04)/(g1^38*y) + t^8.11/(g1^48*y) - (g1^70*t^8.55)/y - (g1^50*t^8.68)/y - (g1^20*t^8.87)/y - (g1^10*t^8.94)/y - (t^4.21*y)/g1^2 - g1^34*t^6.38*y - g1^14*t^6.51*y - g1^4*t^6.57*y - (t^6.7*y)/g1^16 - (2*t^6.77*y)/g1^26 + g1^52*t^7.47*y + g1^42*t^7.53*y + g1^32*t^7.59*y + 4*g1^22*t^7.66*y + 4*g1^12*t^7.72*y + 2*g1^2*t^7.79*y + (4*t^7.85*y)/g1^8 + (4*t^7.92*y)/g1^18 + (2*t^7.98*y)/g1^28 + (3*t^8.04*y)/g1^38 + (t^8.11*y)/g1^48 - g1^70*t^8.55*y - g1^50*t^8.68*y - g1^20*t^8.87*y - g1^10*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 5963 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_3M_9$ | 0.667 | 0.8425 | 0.7917 | [X:[1.5762], M:[0.4238, 1.1921, 0.7881, 0.8476, 0.7285, 0.8476, 0.7682, 0.8278, 1.2119], q:[0.798, 0.7782], qb:[0.4338, 0.3742], phi:[0.404]] | t^2.19 + t^2.3 + t^2.42 + t^2.48 + 2*t^2.54 + t^3.58 + 2*t^3.64 + t^4.37 + t^4.49 + 2*t^4.61 + 2*t^4.67 + 4*t^4.73 + 4*t^4.85 + t^4.91 + 2*t^4.97 + 2*t^5.03 + 3*t^5.09 + t^5.76 + t^5.82 + 2*t^5.88 + t^5.94 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2420 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6699 | 0.8489 | 0.7892 | [X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.8631, 0.758], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]] | t^2.12 + t^2.27 + t^2.35 + t^2.43 + 2*t^2.59 + t^3.49 + t^3.57 + t^3.65 + t^4.23 + t^4.39 + t^4.47 + 2*t^4.55 + 2*t^4.63 + 5*t^4.71 + 4*t^4.86 + 2*t^4.94 + t^5.02 + 3*t^5.18 + t^5.61 + t^5.68 + t^5.76 + 3*t^5.84 + 2*t^5.92 - 2*t^6. - t^4.22/y - t^4.22*y | detail |