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 |
|---|---|---|---|---|---|---|---|---|---|
| 45992 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ | 0.5983 | 0.7653 | 0.7818 | [X:[], M:[0.9618, 0.9618], q:[0.7404, 0.2978], qb:[0.4809, 0.4044], phi:[0.5191]] | [X:[], M:[[4], [4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.11 + t^2.34 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.43 + 2*t^3.66 + t^3.89 + t^3.98 + 2*t^4.21 + 2*t^4.44 + t^4.67 + t^4.76 + 3*t^4.99 + 2*t^5.22 + t^5.31 + 3*t^5.54 + 4*t^5.77 + 2*t^6.09 + 5*t^6.32 + 4*t^6.55 + t^6.64 + t^6.69 + t^6.78 + 4*t^6.87 + 6*t^7.1 + 4*t^7.33 + 2*t^7.42 + 6*t^7.65 - t^7.79 + 6*t^7.88 + 2*t^7.97 + t^8.11 + 5*t^8.2 - 3*t^8.34 + 8*t^8.43 - 2*t^8.57 + 5*t^8.66 + 2*t^8.75 - 4*t^8.89 + 7*t^8.98 - t^4.56/y + t^7.67/y + t^7.76/y + (3*t^7.99)/y + (2*t^8.22)/y + t^8.45/y + (3*t^8.54)/y + t^8.68/y + (4*t^8.77)/y - t^4.56*y + t^7.67*y + t^7.76*y + 3*t^7.99*y + 2*t^8.22*y + t^8.45*y + 3*t^8.54*y + t^8.68*y + 4*t^8.77*y | g1^5*t^2.11 + t^2.34/g1^3 + g1^12*t^2.66 + 2*g1^4*t^2.89 + t^3.34/g1^12 + g1^11*t^3.43 + 2*g1^3*t^3.66 + t^3.89/g1^5 + g1^18*t^3.98 + 2*g1^10*t^4.21 + 2*g1^2*t^4.44 + t^4.67/g1^6 + g1^17*t^4.76 + 3*g1^9*t^4.99 + 2*g1*t^5.22 + g1^24*t^5.31 + 3*g1^16*t^5.54 + 4*g1^8*t^5.77 + 2*g1^23*t^6.09 + 5*g1^15*t^6.32 + 4*g1^7*t^6.55 + g1^30*t^6.64 + t^6.69/g1^24 + t^6.78/g1 + 4*g1^22*t^6.87 + 6*g1^14*t^7.1 + 4*g1^6*t^7.33 + 2*g1^29*t^7.42 + 6*g1^21*t^7.65 - t^7.79/g1^10 + 6*g1^13*t^7.88 + 2*g1^36*t^7.97 + g1^5*t^8.11 + 5*g1^28*t^8.2 - (3*t^8.34)/g1^3 + 8*g1^20*t^8.43 - (2*t^8.57)/g1^11 + 5*g1^12*t^8.66 + 2*g1^35*t^8.75 - 4*g1^4*t^8.89 + 7*g1^27*t^8.98 - t^4.56/(g1^2*y) + t^7.67/(g1^6*y) + (g1^17*t^7.76)/y + (3*g1^9*t^7.99)/y + (2*g1*t^8.22)/y + t^8.45/(g1^7*y) + (3*g1^16*t^8.54)/y + t^8.68/(g1^15*y) + (4*g1^8*t^8.77)/y - (t^4.56*y)/g1^2 + (t^7.67*y)/g1^6 + g1^17*t^7.76*y + 3*g1^9*t^7.99*y + 2*g1*t^8.22*y + (t^8.45*y)/g1^7 + 3*g1^16*t^8.54*y + (t^8.68*y)/g1^15 + 4*g1^8*t^8.77*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46293 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6191 | 0.8066 | 0.7675 | [X:[], M:[0.9622, 0.9622, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]] | t^2.01 + t^2.11 + t^2.33 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.44 + 2*t^3.67 + t^3.89 + t^4.02 + t^4.12 + 2*t^4.22 + t^4.34 + 2*t^4.44 + 2*t^4.67 + t^4.77 + 2*t^4.9 + 3*t^5. + 2*t^5.22 + t^5.32 + t^5.35 + t^5.45 + 3*t^5.55 + 2*t^5.67 + 4*t^5.77 + t^5.9 - t^4.56/y - t^4.56*y | detail | |
| 46152 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.616 | 0.7963 | 0.7736 | [X:[], M:[0.964, 0.964, 0.777], q:[0.741, 0.295], qb:[0.482, 0.41], phi:[0.518]] | t^2.11 + 2*t^2.33 + t^2.68 + 2*t^2.89 + t^3.32 + t^3.45 + t^3.67 + t^3.89 + t^4.01 + 2*t^4.23 + 3*t^4.45 + 3*t^4.66 + t^4.79 + 4*t^5.01 + 4*t^5.22 + t^5.35 + 3*t^5.57 + t^5.66 + 4*t^5.78 - t^4.55/y - t^4.55*y | detail | |
| 46153 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ | 0.6121 | 0.787 | 0.7778 | [X:[], M:[0.9726, 0.9726, 0.8253], q:[0.7432, 0.2842], qb:[0.4863, 0.4316], phi:[0.5137]] | t^2.15 + t^2.31 + t^2.48 + t^2.75 + 2*t^2.92 + t^3.25 + 2*t^3.69 + t^3.85 + t^4.13 + 2*t^4.29 + 2*t^4.46 + 2*t^4.62 + t^4.79 + t^4.9 + t^4.95 + 3*t^5.07 + 3*t^5.23 + 2*t^5.39 + t^5.51 + 2*t^5.67 + t^5.72 + 3*t^5.84 - t^4.54/y - t^4.54*y | detail | |
| 46263 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5899 | 0.7482 | 0.7884 | [X:[], M:[0.9775, 0.9775, 1.0674], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | t^2.17 + t^2.3 + 2*t^2.93 + 2*t^3.2 + t^3.56 + 2*t^3.7 + t^3.83 + t^4.2 + 2*t^4.33 + 2*t^4.47 + t^4.6 + 2*t^5.1 + 2*t^5.23 + t^5.37 + t^5.5 + t^5.73 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 46217 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ | 0.5234 | 0.6631 | 0.7893 | [X:[], M:[1.0588, 1.0588], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 2*t^3.18 + 2*t^3.53 + 2*t^3.88 + 2*t^4.24 + 2*t^4.59 + 3*t^4.94 + 3*t^5.29 + 3*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 20571/39304, c: 13031/19652, M1: 18/17, M2: 18/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45928 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ | 0.6019 | 0.7721 | 0.7795 | [X:[], M:[0.9502, 0.9502], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + 2*t^3.79 + 3*t^4.13 + 3*t^4.43 + 2*t^4.76 + 4*t^5.06 + t^5.1 + 2*t^5.4 + 6*t^5.7 - t^6. - t^4.57/y - t^4.57*y | detail |