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 |
|---|---|---|---|---|---|---|---|---|---|
| 1883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3]], q:[[-1, -3], [-7, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_5$, $ M_1M_5$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_5\phi_1q_2^2$ | . | -2 | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + t^6.1 + t^6.13 - t^6.17 + 2*t^6.25 + t^6.31 + t^6.43 + t^6.47 + t^6.48 + 2*t^6.64 + t^6.66 + t^6.8 + 2*t^6.82 + t^6.9 + 2*t^6.97 + t^6.99 + t^7.05 + t^7.13 + t^7.15 + t^7.23 + t^7.31 + t^7.4 + t^7.54 + t^7.58 + t^7.62 + t^7.71 + t^7.75 + 2*t^7.79 + t^7.89 + t^7.95 + 2*t^7.97 - 2*t^8.04 + 2*t^8.12 + 2*t^8.14 + t^8.18 - 3*t^8.22 + t^8.28 + 3*t^8.3 + t^8.32 + t^8.35 - 3*t^8.38 - t^8.39 + 2*t^8.46 + t^8.47 + t^8.51 + t^8.53 - 3*t^8.55 + t^8.63 + t^8.65 + 2*t^8.69 + t^8.7 - t^8.73 + t^8.81 + t^8.84 + 2*t^8.86 + t^8.88 + t^8.94 + t^8.98 - t^4.15/y - t^6.19/y - t^6.37/y - t^6.53/y + t^7.26/y + t^7.42/y + (2*t^7.6)/y + (2*t^7.77)/y + (2*t^7.93)/y + t^8.1/y - t^8.24/y - t^8.41/y + t^8.49/y - t^8.59/y + t^8.67/y + (2*t^8.75)/y + t^8.83/y + (3*t^8.92)/y - t^4.15*y - t^6.19*y - t^6.37*y - t^6.53*y + t^7.26*y + t^7.42*y + 2*t^7.6*y + 2*t^7.77*y + 2*t^7.93*y + t^8.1*y - t^8.24*y - t^8.41*y + t^8.49*y - t^8.59*y + t^8.67*y + 2*t^8.75*y + t^8.83*y + 3*t^8.92*y | (g1^7*t^2.04)/g2^7 + t^2.22/(g1^4*g2^4) + g1^8*t^2.38 + (g2^3*t^2.55)/g1^3 + (g1^3*t^3.45)/g2^3 + (g1^9*t^3.53)/g2 + (2*g2^2*t^3.7)/g1^2 + (g2^5*t^3.88)/g1^13 + (g1^14*t^4.09)/g2^14 + (g1^3*t^4.26)/g2^11 + (g1^15*t^4.42)/g2^7 + t^4.44/(g1^8*g2^8) + (2*g1^4*t^4.6)/g2^4 + g1^16*t^4.75 + t^4.77/(g1^7*g2) + (g2*t^4.85)/g1 + g1^5*g2^3*t^4.93 + (g2^6*t^5.1)/g1^6 + (g1^10*t^5.49)/g2^10 + (g1^16*t^5.57)/g2^8 + t^5.67/(g1*g2^7) + (2*g1^5*t^5.75)/g2^5 + (g1^17*t^5.9)/g2 + (2*t^5.92)/(g1^6*g2^2) - 2*t^6. + 2*g1^6*g2^2*t^6.08 + (g2*t^6.1)/g1^17 + (g1^21*t^6.13)/g2^21 - (g2^3*t^6.17)/g1^11 + (2*g2^5*t^6.25)/g1^5 + (g1^10*t^6.31)/g2^18 + (g2^8*t^6.43)/g1^16 + (g1^22*t^6.47)/g2^14 + t^6.48/(g1*g2^15) + (2*g1^11*t^6.64)/g2^11 + t^6.66/(g1^12*g2^12) + (g1^23*t^6.8)/g2^7 + (2*t^6.82)/g2^8 + (g1^6*t^6.9)/g2^6 + (2*g1^12*t^6.97)/g2^4 + t^6.99/(g1^11*g2^5) + (g1^18*t^7.05)/g2^2 + g1^24*t^7.13 + (g1*t^7.15)/g2 + g1^7*g2*t^7.23 + g1^13*g2^3*t^7.31 + (g2^4*t^7.4)/g1^4 + (g1^17*t^7.54)/g2^17 + (g2^7*t^7.58)/g1^15 + (g1^23*t^7.62)/g2^15 + (g1^6*t^7.71)/g2^14 + (g2^10*t^7.75)/g1^26 + (2*g1^12*t^7.79)/g2^12 + t^7.89/(g1^5*g2^11) + (g1^24*t^7.95)/g2^8 + (2*g1*t^7.97)/g2^9 - (2*g1^7*t^8.04)/g2^7 + (2*g1^13*t^8.12)/g2^5 + (2*t^8.14)/(g1^10*g2^6) + (g1^28*t^8.18)/g2^28 - (3*t^8.22)/(g1^4*g2^4) + (g1^25*t^8.28)/g2 + (3*g1^2*t^8.3)/g2^2 + t^8.32/(g1^21*g2^3) + (g1^17*t^8.35)/g2^25 - 3*g1^8*t^8.38 - t^8.39/(g1^15*g2) + 2*g1^14*g2^2*t^8.46 + (g2*t^8.47)/g1^9 + (g1^29*t^8.51)/g2^21 + (g1^6*t^8.53)/g2^22 - (3*g2^3*t^8.55)/g1^3 + g1^3*g2^5*t^8.63 + (g2^4*t^8.65)/g1^20 + (2*g1^18*t^8.69)/g2^18 + t^8.7/(g1^5*g2^19) - (g2^6*t^8.73)/g1^14 + (g2^8*t^8.81)/g1^8 + (g1^30*t^8.84)/g2^14 + (2*g1^7*t^8.86)/g2^15 + t^8.88/(g1^16*g2^16) + (g1^13*t^8.94)/g2^13 + (g2^11*t^8.98)/g1^19 - (g1*t^4.15)/(g2*y) - (g1^8*t^6.19)/(g2^8*y) - t^6.37/(g1^3*g2^5*y) - (g1^9*t^6.53)/(g2*y) + (g1^3*t^7.26)/(g2^11*y) + (g1^15*t^7.42)/(g2^7*y) + (2*g1^4*t^7.6)/(g2^4*y) + (2*t^7.77)/(g1^7*g2*y) + (2*g1^5*g2^3*t^7.93)/y + (g2^6*t^8.1)/(g1^6*y) - (g1^15*t^8.24)/(g2^15*y) - (g1^4*t^8.41)/(g2^12*y) + (g1^10*t^8.49)/(g2^10*y) - t^8.59/(g1^7*g2^9*y) + t^8.67/(g1*g2^7*y) + (2*g1^5*t^8.75)/(g2^5*y) + (g1^11*t^8.83)/(g2^3*y) + (3*t^8.92)/(g1^6*g2^2*y) - (g1*t^4.15*y)/g2 - (g1^8*t^6.19*y)/g2^8 - (t^6.37*y)/(g1^3*g2^5) - (g1^9*t^6.53*y)/g2 + (g1^3*t^7.26*y)/g2^11 + (g1^15*t^7.42*y)/g2^7 + (2*g1^4*t^7.6*y)/g2^4 + (2*t^7.77*y)/(g1^7*g2) + 2*g1^5*g2^3*t^7.93*y + (g2^6*t^8.1*y)/g1^6 - (g1^15*t^8.24*y)/g2^15 - (g1^4*t^8.41*y)/g2^12 + (g1^10*t^8.49*y)/g2^10 - (t^8.59*y)/(g1^7*g2^9) + (t^8.67*y)/(g1*g2^7) + (2*g1^5*t^8.75*y)/g2^5 + (g1^11*t^8.83*y)/g2^3 + (3*t^8.92*y)/(g1^6*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2898 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6388 | 0.7929 | 0.8057 | [X:[], M:[0.8082, 1.2328, 0.7263, 0.8492, 0.6853, 1.1508], q:[0.7468, 0.4451], qb:[0.4041, 0.8696], phi:[0.3836]] | t^2.06 + t^2.18 + t^2.42 + t^2.55 + t^3.45 + t^3.58 + 2*t^3.7 + t^3.82 + t^4.11 + t^4.23 + t^4.36 + t^4.48 + 2*t^4.6 + t^4.73 + 2*t^4.85 + t^4.97 + t^5.09 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 2*t^5.88 - t^4.15/y - t^4.15*y | detail | |
| 2900 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6596 | 0.8332 | 0.7916 | [X:[], M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | t^2.02 + t^2.08 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^4.04 + t^4.1 + t^4.16 + t^4.25 + t^4.31 + t^4.37 + t^4.44 + t^4.46 + 2*t^4.58 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.92 + t^5.13 + t^5.46 + 2*t^5.52 + t^5.58 + t^5.66 + 2*t^5.73 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 2899 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.655 | 0.8217 | 0.7971 | [X:[], M:[0.8212, 1.231, 0.7168, 0.8466, 0.6914, 1.1534, 0.7944], q:[0.7429, 0.436], qb:[0.4106, 0.8726], phi:[0.3845]] | t^2.07 + t^2.15 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + 2*t^3.69 + t^3.77 + t^4.15 + t^4.22 + t^4.3 + t^4.46 + t^4.53 + t^4.54 + 2*t^4.61 + t^4.69 + t^4.77 + 2*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.53 + t^5.61 + t^5.77 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 535 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |