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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [-24], [16]], 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_4$, $ M_6$, $ q_1\tilde{q}_2$, $ 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$, $ \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_4M_7$, $ M_6M_7$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ M_7q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | 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. + 2*t^6.08 + t^6.16 + t^6.35 + t^6.51 + t^6.59 + 2*t^6.66 + 2*t^6.74 + 6*t^6.82 + 2*t^6.9 + 6*t^6.98 + 4*t^7.06 + 5*t^7.14 + 2*t^7.22 + 8*t^7.29 - t^7.37 + 4*t^7.45 + 3*t^7.53 + t^7.61 + t^7.72 + 4*t^7.77 + t^7.8 + t^7.88 + 3*t^7.96 + 2*t^8.04 + 5*t^8.2 - t^8.27 - 2*t^8.35 + t^8.43 + t^8.47 + t^8.51 - 8*t^8.59 + t^8.62 + t^8.67 + t^8.7 + t^8.75 + 2*t^8.78 - t^8.83 + 2*t^8.86 + 6*t^8.94 - t^4.22/y - t^6.33/y - t^6.49/y - t^6.57/y - (2*t^6.8)/y + t^7.39/y + t^7.47/y + t^7.55/y + (3*t^7.63)/y + (3*t^7.71)/y + t^7.78/y + (3*t^7.86)/y + (3*t^7.94)/y + (2*t^8.02)/y + t^8.1/y + t^8.18/y - t^8.45/y + t^8.76/y + t^8.84/y - t^4.22*y - t^6.33*y - t^6.49*y - t^6.57*y - 2*t^6.8*y + t^7.39*y + t^7.47*y + t^7.55*y + 3*t^7.63*y + 3*t^7.71*y + t^7.78*y + 3*t^7.86*y + 3*t^7.94*y + 2*t^8.02*y + t^8.1*y + t^8.18*y - t^8.45*y + t^8.76*y + t^8.84*y | g1^36*t^2.12 + g1^16*t^2.27 + g1^6*t^2.35 + t^2.43/g1^4 + (2*t^2.59)/g1^24 + g1^14*t^3.49 + g1^4*t^3.57 + t^3.65/g1^6 + g1^72*t^4.23 + g1^52*t^4.39 + g1^42*t^4.47 + 2*g1^32*t^4.55 + 2*g1^22*t^4.63 + 5*g1^12*t^4.71 + (4*t^4.86)/g1^8 + (2*t^4.94)/g1^18 + t^5.02/g1^28 + (3*t^5.18)/g1^48 + g1^50*t^5.61 + g1^40*t^5.68 + g1^30*t^5.76 + 3*g1^20*t^5.84 + 2*g1^10*t^5.92 - 2*t^6. + (2*t^6.08)/g1^10 + t^6.16/g1^20 + g1^108*t^6.35 + g1^88*t^6.51 + g1^78*t^6.59 + 2*g1^68*t^6.66 + 2*g1^58*t^6.74 + 6*g1^48*t^6.82 + 2*g1^38*t^6.9 + 6*g1^28*t^6.98 + 4*g1^18*t^7.06 + 5*g1^8*t^7.14 + (2*t^7.22)/g1^2 + (8*t^7.29)/g1^12 - t^7.37/g1^22 + (4*t^7.45)/g1^32 + (3*t^7.53)/g1^42 + t^7.61/g1^52 + g1^86*t^7.72 + (4*t^7.77)/g1^72 + g1^76*t^7.8 + g1^66*t^7.88 + 3*g1^56*t^7.96 + 2*g1^46*t^8.04 + 5*g1^26*t^8.2 - g1^16*t^8.27 - 2*g1^6*t^8.35 + t^8.43/g1^4 + g1^144*t^8.47 + t^8.51/g1^14 - (8*t^8.59)/g1^24 + g1^124*t^8.62 + t^8.67/g1^34 + g1^114*t^8.7 + t^8.75/g1^44 + 2*g1^104*t^8.78 - t^8.83/g1^54 + 2*g1^94*t^8.86 + 6*g1^84*t^8.94 - t^4.22/(g1^2*y) - (g1^34*t^6.33)/y - (g1^14*t^6.49)/y - (g1^4*t^6.57)/y - (2*t^6.8)/(g1^26*y) + (g1^52*t^7.39)/y + (g1^42*t^7.47)/y + (g1^32*t^7.55)/y + (3*g1^22*t^7.63)/y + (3*g1^12*t^7.71)/y + (g1^2*t^7.78)/y + (3*t^7.86)/(g1^8*y) + (3*t^7.94)/(g1^18*y) + (2*t^8.02)/(g1^28*y) + t^8.1/(g1^38*y) + t^8.18/(g1^48*y) - (g1^70*t^8.45)/y + (g1^30*t^8.76)/y + (g1^20*t^8.84)/y - (t^4.22*y)/g1^2 - g1^34*t^6.33*y - g1^14*t^6.49*y - g1^4*t^6.57*y - (2*t^6.8*y)/g1^26 + g1^52*t^7.39*y + g1^42*t^7.47*y + g1^32*t^7.55*y + 3*g1^22*t^7.63*y + 3*g1^12*t^7.71*y + g1^2*t^7.78*y + (3*t^7.86*y)/g1^8 + (3*t^7.94*y)/g1^18 + (2*t^8.02*y)/g1^28 + (t^8.1*y)/g1^38 + (t^8.18*y)/g1^48 - g1^70*t^8.45*y + g1^30*t^8.76*y + g1^20*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 4460 | $M_1q_1q_2$ + $ 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_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6873 | 0.8801 | 0.781 | [X:[1.5666], M:[0.4334, 1.1889, 0.7833, 0.8669, 0.6997, 0.8669, 0.7554, 0.7833], q:[0.7972, 0.7693], qb:[0.4474, 0.3638], phi:[0.4056]] | t^2.1 + t^2.27 + 2*t^2.35 + t^2.43 + 2*t^2.6 + t^3.48 + t^3.57 + t^4.2 + t^4.37 + 2*t^4.45 + 2*t^4.53 + 3*t^4.62 + 7*t^4.7 + t^4.78 + 4*t^4.87 + 4*t^4.95 + t^5.03 + 3*t^5.2 + t^5.58 + t^5.67 + 4*t^5.83 + 2*t^5.92 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 4459 | $M_1q_1q_2$ + $ 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]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 1357 | 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$ | 0.6513 | 0.815 | 0.7992 | [X:[1.5729], M:[0.4271, 1.191, 0.7864, 0.8542, 0.7187, 0.8542], q:[0.7977, 0.7752], qb:[0.4384, 0.3706], phi:[0.4045]] | t^2.16 + t^2.36 + t^2.43 + 2*t^2.56 + t^3.51 + t^3.57 + t^3.64 + t^3.71 + t^4.31 + t^4.52 + t^4.58 + t^4.65 + 4*t^4.72 + 2*t^4.85 + 2*t^4.92 + t^4.99 + 3*t^5.13 + t^5.66 + t^5.73 + 3*t^5.86 + t^5.93 - 2*t^6. - t^4.21/y - t^4.21*y | detail |