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 |
|---|---|---|---|---|---|---|---|---|---|
| 55658 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ | 0.8483 | 1.0329 | 0.8213 | [X:[], M:[0.6996], q:[0.7347, 0.7347, 0.7347], qb:[0.5657, 0.5539, 0.5539], phi:[0.5306]] | [X:[], M:[[0, -6, -1, -1]], q:[[-1, 2, 2, 2], [1, 0, 0, 0], [0, 1, 1, 1]], qb:[[0, 5, 0, 0], [0, 0, 5, 0], [0, 0, 0, 5]], phi:[[0, -2, -2, -2]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_3\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ q_2q_3$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$ | $M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$ | -6 | t^2.1 + t^3.18 + t^3.32 + 2*t^3.36 + 6*t^3.87 + 2*t^3.9 + t^4.2 + 3*t^4.41 + 3*t^4.92 + 2*t^4.95 + t^4.99 + t^5.28 + t^5.42 + 2*t^5.46 + 4*t^5.96 - 6*t^6. - 2*t^6.04 + t^6.3 + t^6.37 + t^6.51 - 4*t^6.54 + t^6.65 + 2*t^6.68 + 3*t^6.72 + 3*t^7.01 + 2*t^7.05 + 6*t^7.19 + 11*t^7.22 + 4*t^7.26 + t^7.38 + t^7.52 - 4*t^7.59 - 2*t^7.63 + 18*t^7.73 + 10*t^7.77 + 2*t^7.8 + 4*t^8.06 - 3*t^8.1 + t^8.17 + 3*t^8.24 + 16*t^8.27 + 6*t^8.31 + 2*t^8.35 + t^8.39 + t^8.47 + 2*t^8.61 - 2*t^8.64 + 3*t^8.68 + t^8.75 + 14*t^8.78 + 9*t^8.82 + 4*t^8.85 + 2*t^8.89 - t^4.59/y - t^6.69/y + t^7.41/y - t^7.78/y + t^8.28/y + t^8.42/y + (2*t^8.46)/y + t^8.49/y - t^8.79/y + (6*t^8.96)/y - t^4.59*y - t^6.69*y + t^7.41*y - t^7.78*y + t^8.28*y + t^8.42*y + 2*t^8.46*y + t^8.49*y - t^8.79*y + 6*t^8.96*y | t^2.1/(g2^6*g3*g4) + t^3.18/(g2^4*g3^4*g4^4) + g3^5*g4^5*t^3.32 + g2^5*g3^5*t^3.36 + g2^5*g4^5*t^3.36 + g1*g3^5*t^3.87 + g2*g3^6*g4*t^3.87 + (g2^2*g3^7*g4^2*t^3.87)/g1 + g1*g4^5*t^3.87 + g2*g3*g4^6*t^3.87 + (g2^2*g3^2*g4^7*t^3.87)/g1 + g1*g2^5*t^3.9 + (g2^7*g3^2*g4^2*t^3.9)/g1 + t^4.2/(g2^12*g3^2*g4^2) + g1*g2*g3*g4*t^4.41 + g2^2*g3^2*g4^2*t^4.41 + (g2^3*g3^3*g4^3*t^4.41)/g1 + (g3^8*t^4.92)/(g2^2*g4^2) + (g3^3*g4^3*t^4.92)/g2^2 + (g4^8*t^4.92)/(g2^2*g3^2) + (g2^3*g3^3*t^4.95)/g4^2 + (g2^3*g4^3*t^4.95)/g3^2 + (g2^8*t^4.99)/(g3^2*g4^2) + t^5.28/(g2^10*g3^5*g4^5) + (g3^4*g4^4*t^5.42)/g2^6 + (g3^4*t^5.46)/(g2*g4) + (g4^4*t^5.46)/(g2*g3) + (g1*g3^4*t^5.96)/(g2^6*g4) + (g3^6*g4*t^5.96)/(g1*g2^4) + (g1*g4^4*t^5.96)/(g2^6*g3) + (g3*g4^6*t^5.96)/(g1*g2^4) - 4*t^6. - (g3^5*t^6.)/g4^5 - (g4^5*t^6.)/g3^5 - (g2^5*t^6.04)/g3^5 - (g2^5*t^6.04)/g4^5 + t^6.3/(g2^18*g3^3*g4^3) + t^6.37/(g2^8*g3^8*g4^8) + (g3*g4*t^6.51)/g2^4 - (g1*t^6.54)/g3^5 - (g1*t^6.54)/g4^5 - (g2^2*g3^2*t^6.54)/(g1*g4^3) - (g2^2*g4^2*t^6.54)/(g1*g3^3) + g3^10*g4^10*t^6.65 + g2^5*g3^10*g4^5*t^6.68 + g2^5*g3^5*g4^10*t^6.68 + g2^10*g3^10*t^6.72 + g2^10*g3^5*g4^5*t^6.72 + g2^10*g4^10*t^6.72 + (g3^7*t^7.01)/(g2^8*g4^3) + (g3^2*g4^2*t^7.01)/g2^8 + (g4^7*t^7.01)/(g2^8*g3^3) + (g3^2*t^7.05)/(g2^3*g4^3) + (g4^2*t^7.05)/(g2^3*g3^3) + g1*g3^10*g4^5*t^7.19 + g2*g3^11*g4^6*t^7.19 + (g2^2*g3^12*g4^7*t^7.19)/g1 + g1*g3^5*g4^10*t^7.19 + g2*g3^6*g4^11*t^7.19 + (g2^2*g3^7*g4^12*t^7.19)/g1 + g1*g2^5*g3^10*t^7.22 + g2^6*g3^11*g4*t^7.22 + (g2^7*g3^12*g4^2*t^7.22)/g1 + 2*g1*g2^5*g3^5*g4^5*t^7.22 + g2^6*g3^6*g4^6*t^7.22 + (2*g2^7*g3^7*g4^7*t^7.22)/g1 + g1*g2^5*g4^10*t^7.22 + g2^6*g3*g4^11*t^7.22 + (g2^7*g3^2*g4^12*t^7.22)/g1 + g1*g2^10*g3^5*t^7.26 + (g2^12*g3^7*g4^2*t^7.26)/g1 + g1*g2^10*g4^5*t^7.26 + (g2^12*g3^2*g4^7*t^7.26)/g1 + t^7.38/(g2^16*g3^6*g4^6) + (g3^3*g4^3*t^7.52)/g2^12 - (g3^3*t^7.59)/(g2^2*g4^7) - (2*t^7.59)/(g2^2*g3^2*g4^2) - (g4^3*t^7.59)/(g2^2*g3^7) - (g2^3*t^7.63)/(g3^2*g4^7) - (g2^3*t^7.63)/(g3^7*g4^2) + g1^2*g3^10*t^7.73 + g1*g2*g3^11*g4*t^7.73 + g2^2*g3^12*g4^2*t^7.73 + (g2^3*g3^13*g4^3*t^7.73)/g1 + (g2^4*g3^14*g4^4*t^7.73)/g1^2 + g1^2*g3^5*g4^5*t^7.73 + 2*g1*g2*g3^6*g4^6*t^7.73 + 2*g2^2*g3^7*g4^7*t^7.73 + (2*g2^3*g3^8*g4^8*t^7.73)/g1 + (g2^4*g3^9*g4^9*t^7.73)/g1^2 + g1^2*g4^10*t^7.73 + g1*g2*g3*g4^11*t^7.73 + g2^2*g3^2*g4^12*t^7.73 + (g2^3*g3^3*g4^13*t^7.73)/g1 + (g2^4*g3^4*g4^14*t^7.73)/g1^2 + g1^2*g2^5*g3^5*t^7.77 + g1*g2^6*g3^6*g4*t^7.77 + g2^7*g3^7*g4^2*t^7.77 + (g2^8*g3^8*g4^3*t^7.77)/g1 + (g2^9*g3^9*g4^4*t^7.77)/g1^2 + g1^2*g2^5*g4^5*t^7.77 + g1*g2^6*g3*g4^6*t^7.77 + g2^7*g3^2*g4^7*t^7.77 + (g2^8*g3^3*g4^8*t^7.77)/g1 + (g2^9*g3^4*g4^9*t^7.77)/g1^2 + g1^2*g2^10*t^7.8 + (g2^14*g3^4*g4^4*t^7.8)/g1^2 + (g3^5*t^8.06)/(g1*g2^10) + (g1*g3^3*t^8.06)/(g2^12*g4^2) + (g1*g4^3*t^8.06)/(g2^12*g3^2) + (g4^5*t^8.06)/(g1*g2^10) - (3*t^8.1)/(g2^6*g3*g4) + (g2^4*t^8.17)/(g3^6*g4^6) + (g3^13*g4^3*t^8.24)/g2^2 + (g3^8*g4^8*t^8.24)/g2^2 + (g3^3*g4^13*t^8.24)/g2^2 + (g2^3*g3^13*t^8.27)/g4^2 + g1^2*g2*g3^6*g4*t^8.27 + g1*g2^2*g3^7*g4^2*t^8.27 + 3*g2^3*g3^8*g4^3*t^8.27 + (g2^4*g3^9*g4^4*t^8.27)/g1 + (g2^5*g3^10*g4^5*t^8.27)/g1^2 + g1^2*g2*g3*g4^6*t^8.27 + g1*g2^2*g3^2*g4^7*t^8.27 + 3*g2^3*g3^3*g4^8*t^8.27 + (g2^4*g3^4*g4^9*t^8.27)/g1 + (g2^5*g3^5*g4^10*t^8.27)/g1^2 + (g2^3*g4^13*t^8.27)/g3^2 + (g2^8*g3^8*t^8.31)/g4^2 + g1^2*g2^6*g3*g4*t^8.31 + 2*g2^8*g3^3*g4^3*t^8.31 + (g2^10*g3^5*g4^5*t^8.31)/g1^2 + (g2^8*g4^8*t^8.31)/g3^2 + (g2^13*g3^3*t^8.35)/g4^2 + (g2^13*g4^3*t^8.35)/g3^2 + t^8.39/(g2^24*g3^4*g4^4) + t^8.47/(g2^14*g3^9*g4^9) + (2*t^8.61)/g2^10 + t^8.64/(g2^5*g3^5) - (g1*t^8.64)/(g2^6*g3*g4^6) + t^8.64/(g2^5*g4^5) - (g3*t^8.64)/(g1*g2^4*g4^4) - (g1*t^8.64)/(g2^6*g3^6*g4) - (g4*t^8.64)/(g1*g2^4*g3^4) + t^8.68/g3^10 + t^8.68/g4^10 + t^8.68/(g3^5*g4^5) + (g3^9*g4^9*t^8.75)/g2^6 + (g3^15*t^8.78)/g1 + (g1*g3^13*t^8.78)/(g2^2*g4^2) + (g3^14*t^8.78)/(g2*g4) + (g1*g3^8*g4^3*t^8.78)/g2^2 + (2*g3^9*g4^4*t^8.78)/g2 + (g3^10*g4^5*t^8.78)/g1 + (g1*g3^3*g4^8*t^8.78)/g2^2 + (2*g3^4*g4^9*t^8.78)/g2 + (g3^5*g4^10*t^8.78)/g1 + (g1*g4^13*t^8.78)/(g2^2*g3^2) + (g4^14*t^8.78)/(g2*g3) + (g4^15*t^8.78)/g1 + (g2^5*g3^10*t^8.82)/g1 + (g1*g2^3*g3^8*t^8.82)/g4^2 + (g2^4*g3^9*t^8.82)/g4 + g1*g2^3*g3^3*g4^3*t^8.82 + g2^4*g3^4*g4^4*t^8.82 + (g2^5*g3^5*g4^5*t^8.82)/g1 + (g1*g2^3*g4^8*t^8.82)/g3^2 + (g2^4*g4^9*t^8.82)/g3 + (g2^5*g4^10*t^8.82)/g1 + (g2^10*g3^5*t^8.85)/g1 + (g1*g2^8*g3^3*t^8.85)/g4^2 + (g1*g2^8*g4^3*t^8.85)/g3^2 + (g2^10*g4^5*t^8.85)/g1 + (g2^15*t^8.89)/g1 + (g1*g2^13*t^8.89)/(g3^2*g4^2) - t^4.59/(g2^2*g3^2*g4^2*y) - t^6.69/(g2^8*g3^3*g4^3*y) + (g2^2*g3^2*g4^2*t^7.41)/y - t^7.78/(g2^6*g3^6*g4^6*y) + t^8.28/(g2^10*g3^5*g4^5*y) + (g3^4*g4^4*t^8.42)/(g2^6*y) + (g3^4*t^8.46)/(g2*g4*y) + (g4^4*t^8.46)/(g2*g3*y) + (g2^4*t^8.49)/(g3*g4*y) - t^8.79/(g2^14*g3^4*g4^4*y) + (g3^5*t^8.96)/(g2^5*y) + (g1*g3^4*t^8.96)/(g2^6*g4*y) + (g3^6*g4*t^8.96)/(g1*g2^4*y) + (g1*g4^4*t^8.96)/(g2^6*g3*y) + (g4^5*t^8.96)/(g2^5*y) + (g3*g4^6*t^8.96)/(g1*g2^4*y) - (t^4.59*y)/(g2^2*g3^2*g4^2) - (t^6.69*y)/(g2^8*g3^3*g4^3) + g2^2*g3^2*g4^2*t^7.41*y - (t^7.78*y)/(g2^6*g3^6*g4^6) + (t^8.28*y)/(g2^10*g3^5*g4^5) + (g3^4*g4^4*t^8.42*y)/g2^6 + (g3^4*t^8.46*y)/(g2*g4) + (g4^4*t^8.46*y)/(g2*g3) + (g2^4*t^8.49*y)/(g3*g4) - (t^8.79*y)/(g2^14*g3^4*g4^4) + (g3^5*t^8.96*y)/g2^5 + (g1*g3^4*t^8.96*y)/(g2^6*g4) + (g3^6*g4*t^8.96*y)/(g1*g2^4) + (g1*g4^4*t^8.96*y)/(g2^6*g3) + (g4^5*t^8.96*y)/g2^5 + (g3*g4^6*t^8.96*y)/(g1*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55783 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ + $ M_1q_2\tilde{q}_2$ | 0.8482 | 1.0325 | 0.8215 | [X:[], M:[0.7029], q:[0.7311, 0.7387, 0.7349], qb:[0.5622, 0.5584, 0.5538], phi:[0.5302]] | t^2.11 + t^3.18 + t^3.34 + t^3.35 + t^3.36 + t^3.85 + 2*t^3.87 + 3*t^3.88 + t^3.89 + t^3.9 + t^4.22 + t^4.4 + t^4.41 + t^4.42 + t^4.91 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.96 + t^5.29 + t^5.45 + t^5.46 + t^5.47 + t^5.96 + t^5.98 - 3*t^6. - t^4.59/y - t^4.59*y | detail | |
| 55793 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.8161 | 0.9885 | 0.8257 | [X:[], M:[0.7378], q:[0.7505, 0.7505, 0.7505], qb:[0.5117, 0.7505, 0.4904], phi:[0.4989]] | t^2.21 + t^2.99 + t^3.01 + 4*t^3.72 + 3*t^3.79 + t^4.43 + t^4.44 + 7*t^4.5 + t^4.57 + t^5.21 + t^5.22 + 3*t^5.94 + t^5.99 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 55798 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ + $ M_2q_2\tilde{q}_1$ | 0.8689 | 1.0729 | 0.8099 | [X:[], M:[0.6935, 0.6872], q:[0.7293, 0.7419, 0.7356], qb:[0.5709, 0.5535, 0.5535], phi:[0.5288]] | t^2.06 + t^2.08 + t^3.17 + t^3.32 + 2*t^3.37 + 2*t^3.85 + 2*t^3.87 + 2*t^3.89 + t^3.9 + t^4.12 + t^4.14 + t^4.16 + t^4.39 + t^4.41 + t^4.43 + 3*t^4.91 + 2*t^4.96 + t^5.01 + t^5.23 + t^5.25 + t^5.38 + t^5.4 + 2*t^5.43 + 2*t^5.45 + 2*t^5.91 + 4*t^5.93 + 2*t^5.95 + t^5.96 + 2*t^5.97 - 6*t^6. - t^4.59/y - t^4.59*y | detail | |
| 55741 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ + $ q_2\tilde{q}_2$ | 0.694 | 0.8411 | 0.8251 | [X:[], M:[0.6741], q:[0.5261, 1.0684, 0.7973], qb:[0.5287, 0.9316, 0.5261], phi:[0.4055]] | t^2.02 + t^2.43 + 3*t^3.16 + 2*t^3.97 + t^4.04 + 3*t^4.37 + 2*t^4.38 + t^4.39 + t^4.46 + t^4.87 + t^5.18 + 2*t^5.19 + t^5.59 + 2*t^5.6 - 5*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55446 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ | 0.8279 | 0.9949 | 0.8321 | [X:[], M:[], q:[0.7328, 0.7328, 0.7328], qb:[0.5547, 0.5547, 0.5547], phi:[0.5344]] | t^3.21 + 3*t^3.33 + 9*t^3.86 + 3*t^4.4 + 6*t^4.93 - 12*t^6. - t^4.6/y - t^4.6*y | detail |