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 |
|---|---|---|---|---|---|---|---|---|---|
| 3101 | 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\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.6392 | 0.7923 | 0.8068 | [X:[1.5504], M:[0.4496, 1.1835, 0.7752, 0.8991, 0.7752, 0.8578, 1.1009], q:[0.7959, 0.7546], qb:[0.4702, 0.3463], phi:[0.4083]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-14], [24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_7$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_5M_7$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$ | . | -3 | 2*t^2.33 + t^2.45 + t^2.57 + 2*t^3.3 + t^3.55 + t^3.8 + t^4.05 + t^4.53 + 4*t^4.65 + t^4.78 + 4*t^4.9 + t^5.02 + 3*t^5.63 + 3*t^5.75 + 3*t^5.88 - 3*t^6. + 2*t^6.12 + t^6.37 + t^6.5 + 3*t^6.61 + t^6.62 + t^6.85 + 5*t^6.98 + 3*t^7.1 + 3*t^7.22 + 3*t^7.35 + 2*t^7.47 + 2*t^7.83 + t^7.84 + 5*t^7.95 + 2*t^8.08 + t^8.09 + 7*t^8.2 - 5*t^8.33 - 4*t^8.57 + 2*t^8.7 + 4*t^8.93 + 2*t^8.95 - t^4.22/y - (2*t^6.55)/y - t^6.8/y + (2*t^7.65)/y + (2*t^7.78)/y + (4*t^7.9)/y + t^8.02/y + (4*t^8.63)/y + (2*t^8.75)/y + t^8.88/y - t^4.22*y - 2*t^6.55*y - t^6.8*y + 2*t^7.65*y + 2*t^7.78*y + 4*t^7.9*y + t^8.02*y + 4*t^8.63*y + 2*t^8.75*y + t^8.88*y | 2*g1^6*t^2.33 + t^2.45/g1^4 + t^2.57/g1^14 + 2*g1^24*t^3.3 + g1^4*t^3.55 + t^3.8/g1^16 + t^4.05/g1^36 + g1^22*t^4.53 + 4*g1^12*t^4.65 + g1^2*t^4.78 + (4*t^4.9)/g1^8 + t^5.02/g1^18 + 3*g1^30*t^5.63 + 3*g1^20*t^5.75 + 3*g1^10*t^5.88 - 3*t^6. + (2*t^6.12)/g1^10 + t^6.37/g1^30 + t^6.5/g1^40 + 3*g1^48*t^6.61 + t^6.62/g1^50 + g1^28*t^6.85 + 5*g1^18*t^6.98 + 3*g1^8*t^7.1 + (3*t^7.22)/g1^2 + (3*t^7.35)/g1^12 + (2*t^7.47)/g1^22 + 2*g1^46*t^7.83 + t^7.84/g1^52 + 5*g1^36*t^7.95 + 2*g1^26*t^8.08 + t^8.09/g1^72 + 7*g1^16*t^8.2 - 5*g1^6*t^8.33 - (4*t^8.57)/g1^14 + (2*t^8.7)/g1^24 + 4*g1^54*t^8.93 + (2*t^8.95)/g1^44 - t^4.22/(g1^2*y) - (2*g1^4*t^6.55)/y - t^6.8/(g1^16*y) + (2*g1^12*t^7.65)/y + (2*g1^2*t^7.78)/y + (4*t^7.9)/(g1^8*y) + t^8.02/(g1^18*y) + (4*g1^30*t^8.63)/y + (2*g1^20*t^8.75)/y + (g1^10*t^8.88)/y - (t^4.22*y)/g1^2 - 2*g1^4*t^6.55*y - (t^6.8*y)/g1^16 + 2*g1^12*t^7.65*y + 2*g1^2*t^7.78*y + (4*t^7.9*y)/g1^8 + (t^8.02*y)/g1^18 + 4*g1^30*t^8.63*y + 2*g1^20*t^8.75*y + g1^10*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 4980 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8q_1\tilde{q}_1$ | 0.659 | 0.8295 | 0.7944 | [X:[1.5449], M:[0.4551, 1.1816, 0.7725, 0.9101, 0.7725, 0.8642, 1.0899, 0.7266], q:[0.7954, 0.7495], qb:[0.478, 0.3403], phi:[0.4092]] | t^2.18 + 2*t^2.32 + t^2.46 + t^2.59 + 2*t^3.27 + t^3.54 + t^4.1 + t^4.36 + 3*t^4.5 + 5*t^4.63 + 2*t^4.77 + 4*t^4.91 + t^5.05 + 2*t^5.45 + 3*t^5.59 + 4*t^5.72 + 3*t^5.86 - 3*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2034 | 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\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | 2*t^2.36 + t^2.43 + t^2.5 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^3.86 + t^4.64 + 4*t^4.71 + t^4.79 + 4*t^4.86 + 3*t^4.93 + t^5. + t^5.08 + t^5.15 + t^5.78 + 2*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.21/y - t^4.21*y | detail |