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 |
|---|---|---|---|---|---|---|---|---|---|
| 3482 | 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$ + $ M_7\phi_1q_2^2$ + $ M_6M_8$ | 0.6727 | 0.8545 | 0.7872 | [X:[], M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3], [13, -5], [-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_7$, $ M_3$, $ M_1$, $ M_4$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_3M_5$, $ M_3M_7$, $ M_1M_5$, $ M_1M_7$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_7M_8$, $ M_1^2$, $ M_3M_4$, $ M_3M_8$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_7$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_3$ | . | -3 | t^2.08 + t^2.12 + t^2.27 + t^2.35 + 2*t^2.54 + t^3.5 + 2*t^3.69 + t^4.16 + t^4.2 + t^4.24 + t^4.35 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + 3*t^4.62 + 2*t^4.66 + t^4.7 + 2*t^4.8 + t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.58 + t^5.62 + 2*t^5.77 + t^5.81 + t^5.85 + t^5.96 - 3*t^6. + 3*t^6.04 - t^6.19 + 3*t^6.23 + t^6.24 + t^6.28 + t^6.32 + t^6.36 + t^6.42 + t^6.47 + 2*t^6.51 + t^6.55 + t^6.59 + t^6.61 + t^6.65 + 3*t^6.69 + 3*t^6.74 + 3*t^6.78 + t^6.8 + t^6.82 + 3*t^6.88 + 2*t^6.92 + 3*t^6.97 + 3*t^7.01 + t^7.05 + 2*t^7.07 + 2*t^7.15 + 4*t^7.2 + 2*t^7.24 + t^7.34 + t^7.38 + 2*t^7.42 - t^7.57 + 3*t^7.61 + t^7.66 + t^7.7 + t^7.74 + 2*t^7.85 + t^7.89 + 2*t^7.93 + t^7.97 + t^8.04 - 3*t^8.08 + 2*t^8.16 + t^8.2 + t^8.23 - 4*t^8.27 + 3*t^8.31 - 2*t^8.35 + t^8.36 + 3*t^8.39 + t^8.4 + t^8.44 - t^8.46 + t^8.48 + t^8.5 - 6*t^8.54 + 5*t^8.58 + 2*t^8.63 + t^8.67 + t^8.69 + t^8.71 - 2*t^8.73 + 7*t^8.77 + 3*t^8.81 + 4*t^8.86 + t^8.88 + 3*t^8.9 + t^8.92 + t^8.94 + 3*t^8.96 - t^4.15/y - t^6.23/y - t^6.27/y - t^6.42/y - t^6.5/y - t^6.69/y + t^7.2/y + t^7.35/y + t^7.39/y + t^7.43/y + t^7.47/y + (4*t^7.62)/y + (2*t^7.66)/y + (3*t^7.8)/y + (3*t^7.89)/y + t^8.03/y + (2*t^8.08)/y - t^8.31/y - t^8.35/y - t^8.39/y - t^8.5/y - t^8.54/y - t^8.69/y + t^8.77/y + t^8.81/y + t^8.96/y - t^4.15*y - t^6.23*y - t^6.27*y - t^6.42*y - t^6.5*y - t^6.69*y + t^7.2*y + t^7.35*y + t^7.39*y + t^7.43*y + t^7.47*y + 4*t^7.62*y + 2*t^7.66*y + 3*t^7.8*y + 3*t^7.89*y + t^8.03*y + 2*t^8.08*y - t^8.31*y - t^8.35*y - t^8.39*y - t^8.5*y - t^8.54*y - t^8.69*y + t^8.77*y + t^8.81*y + t^8.96*y | (g1^7*t^2.08)/g2^7 + (g1^13*t^2.12)/g2^5 + t^2.27/(g1^4*g2^4) + g1^8*t^2.35 + (2*g2^3*t^2.54)/g1^3 + (g1^9*t^3.5)/g2 + (2*g2^2*t^3.69)/g1^2 + (g1^14*t^4.16)/g2^14 + (g1^20*t^4.2)/g2^12 + (g1^26*t^4.24)/g2^10 + (g1^3*t^4.35)/g2^11 + (g1^9*t^4.39)/g2^9 + (g1^15*t^4.43)/g2^7 + (g1^21*t^4.47)/g2^5 + t^4.53/(g1^8*g2^8) + (3*g1^4*t^4.62)/g2^4 + (2*g1^10*t^4.66)/g2^2 + g1^16*t^4.7 + (2*t^4.8)/(g1^7*g2) + (g2*t^4.85)/g1 + 2*g1^5*g2^3*t^4.89 + (3*g2^6*t^5.08)/g1^6 + (g1^16*t^5.58)/g2^8 + (g1^22*t^5.62)/g2^6 + (2*g1^5*t^5.77)/g2^5 + (g1^11*t^5.81)/g2^3 + (g1^17*t^5.85)/g2 + t^5.96/(g1^6*g2^2) - 3*t^6. + 3*g1^6*g2^2*t^6.04 - (g2^3*t^6.19)/g1^11 + (3*g2^5*t^6.23)/g1^5 + (g1^21*t^6.24)/g2^21 + (g1^27*t^6.28)/g2^19 + (g1^33*t^6.32)/g2^17 + (g1^39*t^6.36)/g2^15 + (g1^10*t^6.42)/g2^18 + (g1^16*t^6.47)/g2^16 + (2*g1^22*t^6.51)/g2^14 + (g1^28*t^6.55)/g2^12 + (g1^34*t^6.59)/g2^10 + t^6.61/(g1*g2^15) + (g1^5*t^6.65)/g2^13 + (3*g1^11*t^6.69)/g2^11 + (3*g1^17*t^6.74)/g2^9 + (3*g1^23*t^6.78)/g2^7 + t^6.8/(g1^12*g2^12) + (g1^29*t^6.82)/g2^5 + (3*t^6.88)/g2^8 + (2*g1^6*t^6.92)/g2^6 + (3*g1^12*t^6.97)/g2^4 + (3*g1^18*t^7.01)/g2^2 + g1^24*t^7.05 + (2*t^7.07)/(g1^11*g2^5) + (2*g1*t^7.15)/g2 + 4*g1^7*g2*t^7.2 + 2*g1^13*g2^3*t^7.24 + (g2^2*t^7.34)/g1^10 + (g2^4*t^7.38)/g1^4 + 2*g1^2*g2^6*t^7.42 - (g2^7*t^7.57)/g1^15 + (3*g2^9*t^7.61)/g1^9 + (g1^23*t^7.66)/g2^15 + (g1^29*t^7.7)/g2^13 + (g1^35*t^7.74)/g2^11 + (2*g1^12*t^7.85)/g2^12 + (g1^18*t^7.89)/g2^10 + (2*g1^24*t^7.93)/g2^8 + (g1^30*t^7.97)/g2^6 + (g1*t^8.04)/g2^9 - (3*g1^7*t^8.08)/g2^7 + (2*g1^19*t^8.16)/g2^3 + (g1^25*t^8.2)/g2 + t^8.23/(g1^10*g2^6) - (4*t^8.27)/(g1^4*g2^4) + (g1^28*t^8.31)/g2^28 + (2*g1^2*t^8.31)/g2^2 - 2*g1^8*t^8.35 + (g1^34*t^8.36)/g2^26 + 3*g1^14*g2^2*t^8.39 + (g1^40*t^8.4)/g2^24 + (g1^46*t^8.44)/g2^22 - t^8.46/(g1^15*g2) + (g1^52*t^8.48)/g2^20 + (g1^17*t^8.5)/g2^25 + (g1^23*t^8.54)/g2^23 - (7*g2^3*t^8.54)/g1^3 + (2*g1^29*t^8.58)/g2^21 + 3*g1^3*g2^5*t^8.58 + (2*g1^35*t^8.63)/g2^19 + (g1^41*t^8.67)/g2^17 + (g1^6*t^8.69)/g2^22 + (g1^47*t^8.71)/g2^15 + (g1^12*t^8.73)/g2^20 - (3*g2^6*t^8.73)/g1^14 + (4*g1^18*t^8.77)/g2^18 + (3*g2^8*t^8.77)/g1^8 + (3*g1^24*t^8.81)/g2^16 + (4*g1^30*t^8.86)/g2^14 + t^8.88/(g1^5*g2^19) + (3*g1^36*t^8.9)/g2^12 + (g1*t^8.92)/g2^17 + (g1^42*t^8.94)/g2^10 + (3*g1^7*t^8.96)/g2^15 - (g1*t^4.15)/(g2*y) - (g1^8*t^6.23)/(g2^8*y) - (g1^14*t^6.27)/(g2^6*y) - t^6.42/(g1^3*g2^5*y) - (g1^9*t^6.5)/(g2*y) - (g2^2*t^6.69)/(g1^2*y) + (g1^20*t^7.2)/(g2^12*y) + (g1^3*t^7.35)/(g2^11*y) + (g1^9*t^7.39)/(g2^9*y) + (g1^15*t^7.43)/(g2^7*y) + (g1^21*t^7.47)/(g2^5*y) + (4*g1^4*t^7.62)/(g2^4*y) + (2*g1^10*t^7.66)/(g2^2*y) + (3*t^7.8)/(g1^7*g2*y) + (3*g1^5*g2^3*t^7.89)/y + (g2^4*t^8.03)/(g1^12*y) + (2*g2^6*t^8.08)/(g1^6*y) - (g1^15*t^8.31)/(g2^15*y) - (g1^21*t^8.35)/(g2^13*y) - (g1^27*t^8.39)/(g2^11*y) - (g1^4*t^8.5)/(g2^12*y) - (g1^10*t^8.54)/(g2^10*y) - t^8.69/(g1^7*g2^9*y) + (g1^5*t^8.77)/(g2^5*y) + (g1^11*t^8.81)/(g2^3*y) + t^8.96/(g1^6*g2^2*y) - (g1*t^4.15*y)/g2 - (g1^8*t^6.23*y)/g2^8 - (g1^14*t^6.27*y)/g2^6 - (t^6.42*y)/(g1^3*g2^5) - (g1^9*t^6.5*y)/g2 - (g2^2*t^6.69*y)/g1^2 + (g1^20*t^7.2*y)/g2^12 + (g1^3*t^7.35*y)/g2^11 + (g1^9*t^7.39*y)/g2^9 + (g1^15*t^7.43*y)/g2^7 + (g1^21*t^7.47*y)/g2^5 + (4*g1^4*t^7.62*y)/g2^4 + (2*g1^10*t^7.66*y)/g2^2 + (3*t^7.8*y)/(g1^7*g2) + 3*g1^5*g2^3*t^7.89*y + (g2^4*t^8.03*y)/g1^12 + (2*g2^6*t^8.08*y)/g1^6 - (g1^15*t^8.31*y)/g2^15 - (g1^21*t^8.35*y)/g2^13 - (g1^27*t^8.39*y)/g2^11 - (g1^4*t^8.5*y)/g2^12 - (g1^10*t^8.54*y)/g2^10 - (t^8.69*y)/(g1^7*g2^9) + (g1^5*t^8.77*y)/g2^5 + (g1^11*t^8.81*y)/g2^3 + (t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 5163 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ + $ M_1M_7$ + $ M_3X_1$ | 0.5867 | 0.7237 | 0.8107 | [X:[1.4173], M:[1.0067, 1.2053, 0.5827, 0.808, 0.7813, 1.192, 0.9933, 0.808], q:[0.6887, 0.3047], qb:[0.5033, 0.914], phi:[0.3973]] | t^2.34 + 2*t^2.42 + t^2.98 + t^3.02 + 2*t^3.62 + t^4.21 + t^4.25 + t^4.69 + 2*t^4.77 + t^4.81 + 3*t^4.85 + t^5.32 + t^5.4 + 2*t^5.44 + 2*t^5.96 - 2*t^6. - t^4.19/y - t^4.19*y | detail | |
| 5161 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ + $ M_5M_7$ | 0.5958 | 0.7559 | 0.7882 | [X:[], M:[0.8779, 1.1463, 0.8294, 0.7195, 0.9879, 1.2805, 1.0121, 0.7195], q:[0.8416, 0.2805], qb:[0.439, 0.7316], phi:[0.4268]] | 2*t^2.16 + t^2.49 + t^2.63 + t^2.96 + t^3.04 + 2*t^3.44 + t^3.91 + 3*t^4.32 + 2*t^4.65 + t^4.72 + 2*t^4.79 + t^4.98 + 3*t^5.12 + 2*t^5.19 + t^5.27 + t^5.45 + 4*t^5.6 + t^5.67 + 2*t^5.93 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 5142 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6879 | 0.8801 | 0.7817 | [X:[], M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.7329, 0.8447, 0.8075], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]] | t^2.09 + 2*t^2.2 + 2*t^2.42 + 2*t^2.53 + 2*t^3.69 + t^4.17 + 2*t^4.29 + 3*t^4.4 + 2*t^4.51 + 6*t^4.62 + 4*t^4.73 + 4*t^4.84 + 4*t^4.96 + 3*t^5.07 + t^5.78 + 2*t^5.89 - 3*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2900 | 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$ + $ 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 |