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 |
|---|---|---|---|---|---|---|---|---|---|
| 515 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_4^2$, $ M_3q_1\tilde{q}_2$ | . | -3 | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. + t^6.28 + t^6.31 - 2*t^6.38 + t^6.56 + t^6.59 - t^6.66 + 3*t^6.68 + t^6.87 + t^6.89 + 4*t^6.96 + 3*t^7.06 + t^7.22 + 4*t^7.24 + 3*t^7.27 + 4*t^7.34 + 3*t^7.43 + t^7.52 + t^7.55 + 3*t^7.62 + 6*t^7.64 + t^7.71 + t^7.81 + t^7.92 + 10*t^8.02 - t^8.09 + t^8.18 + t^8.2 - 2*t^8.3 - t^8.37 + t^8.39 + t^8.55 + t^8.58 + t^8.6 - t^8.65 - 10*t^8.67 + 2*t^8.86 + t^8.88 + t^8.93 - 2*t^8.95 + 3*t^8.98 - t^4.34/y - t^6.63/y - (3*t^7.01)/y + (3*t^7.66)/y + (3*t^7.97)/y + t^8.04/y + t^8.25/y + (4*t^8.34)/y + (3*t^8.62)/y + (3*t^8.72)/y + t^8.91/y - t^8.93/y - t^4.34*y - t^6.63*y - 3*t^7.01*y + 3*t^7.66*y + 3*t^7.97*y + t^8.04*y + t^8.25*y + 4*t^8.34*y + 3*t^8.62*y + 3*t^8.72*y + t^8.91*y - t^8.93*y | t^2.3/(g1*g2^3) + (3*t^2.67)/g2^2 + (g2*t^2.95)/g1 + (g1*t^3.05)/g2 + (g2^5*t^3.61)/g1 + t^4.01/g2^3 + t^4.29/g1 + (g1*t^4.38)/g2^2 + (g2^3*t^4.57)/g1^2 + t^4.59/(g1^2*g2^6) + 2*g2*t^4.66 + (g1^2*t^4.76)/g2 + (g2^4*t^4.94)/g1 + (3*t^4.97)/(g1*g2^5) + g1*g2^2*t^5.04 + t^5.25/(g1^2*g2^2) + g2^5*t^5.32 + (6*t^5.34)/g2^4 + t^5.62/(g1*g2) + (g1*t^5.72)/g2^3 + (g2^2*t^5.91)/g1^2 - 3*t^6. + (g2^3*t^6.28)/g1 + t^6.31/(g1*g2^6) - 2*g1*g2*t^6.38 + (g2^6*t^6.56)/g1^2 + t^6.59/(g1^2*g2^3) - g2^4*t^6.66 + (3*t^6.68)/g2^5 + t^6.87/g1^3 + t^6.89/(g1^3*g2^9) + (4*t^6.96)/(g1*g2^2) + (3*g1*t^7.06)/g2^4 + (g2^10*t^7.22)/g1^2 + (4*g2*t^7.24)/g1^2 + (3*t^7.27)/(g1^2*g2^8) + (4*t^7.34)/g2 + (3*g1^2*t^7.43)/g2^3 + (g2^4*t^7.52)/g1^3 + t^7.55/(g1^3*g2^5) + (3*g2^2*t^7.62)/g1 + (6*t^7.64)/(g1*g2^7) + g1*t^7.71 + (g1^3*t^7.81)/g2^2 + t^7.92/(g1^2*g2^4) + (10*t^8.02)/g2^6 - g1^2*g2*t^8.09 + (g2^8*t^8.18)/g1^3 + t^8.2/(g1^3*g2) - (2*t^8.3)/(g1*g2^3) - g1*g2^4*t^8.37 + (g1*t^8.39)/g2^5 + (g2^9*t^8.55)/g1^2 + t^8.58/g1^2 + t^8.6/(g1^2*g2^9) - g2^7*t^8.65 - (10*t^8.67)/g2^2 + (2*g2^3*t^8.86)/g1^3 + t^8.88/(g1^3*g2^6) + (g2^10*t^8.93)/g1 - (2*g2*t^8.95)/g1 + (3*t^8.98)/(g1*g2^8) - t^4.34/(g2*y) - t^6.63/(g1*g2^4*y) - (3*t^7.01)/(g2^3*y) + (3*g2*t^7.66)/y + (3*t^7.97)/(g1*g2^5*y) + (g1*g2^2*t^8.04)/y + t^8.25/(g1^2*g2^2*y) + (4*t^8.34)/(g2^4*y) + (3*t^8.62)/(g1*g2*y) + (3*g1*t^8.72)/(g2^3*y) + (g2^2*t^8.91)/(g1^2*y) - t^8.93/(g1^2*g2^7*y) - (t^4.34*y)/g2 - (t^6.63*y)/(g1*g2^4) - (3*t^7.01*y)/g2^3 + 3*g2*t^7.66*y + (3*t^7.97*y)/(g1*g2^5) + g1*g2^2*t^8.04*y + (t^8.25*y)/(g1^2*g2^2) + (4*t^8.34*y)/g2^4 + (3*t^8.62*y)/(g1*g2) + (3*g1*t^8.72*y)/g2^3 + (g2^2*t^8.91*y)/g1^2 - (t^8.93*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 805 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 1867 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ | 0.6567 | 0.8256 | 0.7954 | [X:[], M:[0.7658, 0.8514, 0.6801, 1.1486, 0.7658], q:[0.7658, 0.4685], qb:[0.3829, 0.8514], phi:[0.3829]] | t^2.04 + 3*t^2.3 + t^2.55 + 2*t^3.45 + t^3.7 + t^3.96 + t^4.08 + 3*t^4.34 + 7*t^4.59 + 4*t^4.85 + t^5.11 + 2*t^5.49 + 5*t^5.74 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 1866 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6487 | 0.8083 | 0.8026 | [X:[], M:[0.8266, 0.7934, 0.8598, 1.2066, 0.8266], q:[0.7934, 0.3801], qb:[0.4133, 0.7601], phi:[0.4133]] | t^2.38 + 3*t^2.48 + t^2.58 + t^3.52 + 2*t^3.62 + t^3.72 + 2*t^4.66 + 2*t^4.76 + 2*t^4.86 + 6*t^4.96 + 3*t^5.06 + t^5.16 + t^5.8 + t^6. - t^4.24/y - t^4.24*y | detail | |
| 1868 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | 3*t^2.3 + t^2.54 + 2*t^3.46 + t^3.7 + 2*t^3.94 + 6*t^4.61 + 4*t^4.85 + t^5.09 + 4*t^5.76 - t^4.15/y - t^4.15*y | detail | |
| 1865 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6393 | 0.7913 | 0.808 | [X:[1.4928], M:[0.8612, 1.2153, 0.5072, 0.7847, 0.8612], q:[0.3541, 0.7847], qb:[0.4306, 0.7081], phi:[0.4306]] | t^2.35 + 3*t^2.58 + t^3.19 + t^3.42 + 2*t^3.65 + t^3.88 + 2*t^4.48 + 2*t^4.71 + 2*t^4.94 + 5*t^5.17 + 2*t^5.54 + 3*t^5.77 + t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |