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 |
|---|---|---|---|---|---|---|---|---|---|
| 3400 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ | 0.6702 | 0.8472 | 0.7911 | [X:[1.307], M:[0.7557, 0.7831, 0.693, 0.8459, 1.1541, 0.7067, 0.8459], q:[0.8527, 0.3916], qb:[0.4543, 0.7626], phi:[0.3847]] | [X:[[0, 7]], M:[[2, 2], [-2, -6], [0, -7], [0, 3], [0, -3], [-2, -11], [0, 3]], q:[[-1, 1], [-1, -3]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_6^2$, $ M_1M_6$, $ M_6\phi_1^2$, $ M_2M_6$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | t^2.12 + t^2.27 + t^2.31 + t^2.35 + 2*t^2.54 + t^3.5 + t^3.69 + t^3.92 + t^4.24 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.62 + 3*t^4.66 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.62 + t^5.81 + t^5.85 - 2*t^6. + 3*t^6.04 + 2*t^6.23 + t^6.27 + t^6.36 + 2*t^6.46 + t^6.51 + t^6.55 + t^6.59 + t^6.65 + t^6.7 + 2*t^6.74 + 3*t^6.78 + t^6.8 + t^6.82 + t^6.84 + 2*t^6.88 + 3*t^6.92 + 4*t^6.97 + 4*t^7.01 + t^7.05 + 2*t^7.07 + 2*t^7.11 + 2*t^7.15 + 5*t^7.2 + 2*t^7.24 + t^7.34 + 2*t^7.38 + 3*t^7.42 - t^7.57 + 4*t^7.61 + t^7.74 + t^7.84 + t^7.93 + t^7.97 - t^8.08 - 2*t^8.12 + 3*t^8.16 + t^8.2 - 3*t^8.27 - 3*t^8.31 - t^8.35 + 3*t^8.39 + t^8.48 - 2*t^8.5 - 5*t^8.54 + 4*t^8.58 + t^8.62 + t^8.63 + t^8.67 + t^8.71 - t^8.73 + 4*t^8.77 + 2*t^8.81 + t^8.82 + 2*t^8.86 + 3*t^8.9 + t^8.92 + t^8.94 + t^8.96 - t^4.15/y - t^6.27/y - t^6.42/y - t^6.46/y - t^6.5/y - t^6.69/y + t^7.39/y + t^7.43/y + t^7.47/y + t^7.58/y + (2*t^7.62)/y + (3*t^7.66)/y + (3*t^7.8)/y + (3*t^7.85)/y + (3*t^7.89)/y + t^8.03/y + t^8.08/y - t^8.39/y - t^8.54/y - t^8.58/y - t^8.69/y - t^8.73/y - t^8.77/y - t^4.15*y - t^6.27*y - t^6.42*y - t^6.46*y - t^6.5*y - t^6.69*y + t^7.39*y + t^7.43*y + t^7.47*y + t^7.58*y + 2*t^7.62*y + 3*t^7.66*y + 3*t^7.8*y + 3*t^7.85*y + 3*t^7.89*y + t^8.03*y + t^8.08*y - t^8.39*y - t^8.54*y - t^8.58*y - t^8.69*y - t^8.73*y - t^8.77*y | t^2.12/(g1^2*g2^11) + g1^2*g2^2*t^2.27 + t^2.31/g2^2 + t^2.35/(g1^2*g2^6) + 2*g2^3*t^2.54 + t^3.5/(g1^2*g2^7) + g2^2*t^3.69 + g2^7*t^3.92 + t^4.24/(g1^4*g2^22) + t^4.39/g2^9 + t^4.43/(g1^2*g2^13) + t^4.47/(g1^4*g2^17) + g1^4*g2^4*t^4.53 + g1^2*t^4.58 + (2*t^4.62)/g2^4 + (3*t^4.66)/(g1^2*g2^8) + t^4.7/(g1^4*g2^12) + 2*g1^2*g2^5*t^4.8 + 3*g2*t^4.85 + (2*t^4.89)/(g1^2*g2^3) + 3*g2^6*t^5.08 + t^5.62/(g1^4*g2^18) + t^5.81/(g1^2*g2^9) + t^5.85/(g1^4*g2^13) - 2*t^6. + (3*t^6.04)/(g1^2*g2^4) + 2*g2^5*t^6.23 + (g2*t^6.27)/g1^2 + t^6.36/(g1^6*g2^33) + 2*g2^10*t^6.46 + t^6.51/(g1^2*g2^20) + t^6.55/(g1^4*g2^24) + t^6.59/(g1^6*g2^28) + (g1^2*t^6.65)/g2^7 + t^6.7/g2^11 + (2*t^6.74)/(g1^2*g2^15) + (3*t^6.78)/(g1^4*g2^19) + g1^6*g2^6*t^6.8 + t^6.82/(g1^6*g2^23) + g1^4*g2^2*t^6.84 + (2*g1^2*t^6.88)/g2^2 + (3*t^6.92)/g2^6 + (4*t^6.97)/(g1^2*g2^10) + (4*t^7.01)/(g1^4*g2^14) + t^7.05/(g1^6*g2^18) + 2*g1^4*g2^7*t^7.07 + 2*g1^2*g2^3*t^7.11 + (2*t^7.15)/g2 + (5*t^7.2)/(g1^2*g2^5) + (2*t^7.24)/(g1^4*g2^9) + g1^2*g2^8*t^7.34 + 2*g2^4*t^7.38 + (3*t^7.42)/g1^2 - g1^2*g2^13*t^7.57 + 4*g2^9*t^7.61 + t^7.74/(g1^6*g2^29) + g2^14*t^7.84 + t^7.93/(g1^4*g2^20) + t^7.97/(g1^6*g2^24) - t^8.08/g2^7 - (2*t^8.12)/(g1^2*g2^11) + (3*t^8.16)/(g1^4*g2^15) + t^8.2/(g1^6*g2^19) - 3*g1^2*g2^2*t^8.27 - (3*t^8.31)/g2^2 - t^8.35/(g1^2*g2^6) + (3*t^8.39)/(g1^4*g2^10) + t^8.48/(g1^8*g2^44) - 2*g1^2*g2^7*t^8.5 - 5*g2^3*t^8.54 + (4*t^8.58)/(g1^2*g2) + t^8.62/(g1^4*g2^5) + t^8.63/(g1^4*g2^31) + t^8.67/(g1^6*g2^35) + t^8.71/(g1^8*g2^39) - g1^2*g2^12*t^8.73 + t^8.77/g2^18 + 3*g2^8*t^8.77 + (2*g2^4*t^8.81)/g1^2 + t^8.82/(g1^2*g2^22) + (2*t^8.86)/(g1^4*g2^26) + (3*t^8.9)/(g1^6*g2^30) + (g1^4*t^8.92)/g2^5 + t^8.94/(g1^8*g2^34) + (g1^2*t^8.96)/g2^9 - t^4.15/(g2*y) - t^6.27/(g1^2*g2^12*y) - (g1^2*g2*t^6.42)/y - t^6.46/(g2^3*y) - t^6.5/(g1^2*g2^7*y) - (g2^2*t^6.69)/y + t^7.39/(g2^9*y) + t^7.43/(g1^2*g2^13*y) + t^7.47/(g1^4*g2^17*y) + (g1^2*t^7.58)/y + (2*t^7.62)/(g2^4*y) + (3*t^7.66)/(g1^2*g2^8*y) + (3*g1^2*g2^5*t^7.8)/y + (3*g2*t^7.85)/y + (3*t^7.89)/(g1^2*g2^3*y) + (g1^2*g2^10*t^8.03)/y + (g2^6*t^8.08)/y - t^8.39/(g1^4*g2^23*y) - t^8.54/(g2^10*y) - t^8.58/(g1^2*g2^14*y) - (g1^4*g2^3*t^8.69)/y - (g1^2*t^8.73)/(g2*y) - t^8.77/(g2^5*y) - (t^4.15*y)/g2 - (t^6.27*y)/(g1^2*g2^12) - g1^2*g2*t^6.42*y - (t^6.46*y)/g2^3 - (t^6.5*y)/(g1^2*g2^7) - g2^2*t^6.69*y + (t^7.39*y)/g2^9 + (t^7.43*y)/(g1^2*g2^13) + (t^7.47*y)/(g1^4*g2^17) + g1^2*t^7.58*y + (2*t^7.62*y)/g2^4 + (3*t^7.66*y)/(g1^2*g2^8) + 3*g1^2*g2^5*t^7.8*y + 3*g2*t^7.85*y + (3*t^7.89*y)/(g1^2*g2^3) + g1^2*g2^10*t^8.03*y + g2^6*t^8.08*y - (t^8.39*y)/(g1^4*g2^23) - (t^8.54*y)/g2^10 - (t^8.58*y)/(g1^2*g2^14) - g1^4*g2^3*t^8.69*y - (g1^2*t^8.73*y)/g2 - (t^8.77*y)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3886 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ + $ M_2M_6$ + $ M_1X_2$ | 0.5867 | 0.7259 | 0.8083 | [X:[1.1773, 1.379], M:[0.621, 0.9919, 0.8227, 0.7903, 1.2097, 1.0081, 0.7903], q:[0.883, 0.496], qb:[0.2943, 0.7138], phi:[0.4032]] | 2*t^2.37 + t^2.42 + t^2.98 + t^3.02 + t^3.53 + t^3.58 + t^4.14 + t^4.19 + 3*t^4.74 + 3*t^4.79 + t^4.84 + 2*t^5.35 + 2*t^5.4 + 2*t^5.9 + 3*t^5.95 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 3885 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_5M_7$ + $ M_6^2$ | 0.618 | 0.7842 | 0.7881 | [X:[1.097], M:[0.7324, 0.9264, 0.903, 0.7559, 1.2441, 1.0, 0.7559], q:[0.8044, 0.4632], qb:[0.2926, 0.7809], phi:[0.4147]] | t^2.2 + 2*t^2.27 + t^2.49 + t^2.78 + t^3. + t^3.29 + t^3.51 + t^4.02 + t^4.39 + 2*t^4.46 + 3*t^4.54 + t^4.69 + 3*t^4.76 + 2*t^4.98 + 2*t^5.05 + t^5.2 + 3*t^5.27 + t^5.49 + 3*t^5.56 + 3*t^5.78 - t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2843 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6572 | 0.8255 | 0.7962 | [X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]] | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |