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 |
|---|---|---|---|---|---|---|---|---|---|
| 601 | 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$ + $ M_2^2$ | 0.7222 | 0.8878 | 0.8134 | [X:[], M:[0.8228, 1.0, 0.8046, 1.0182, 0.9818], q:[0.6772, 0.5], qb:[0.5182, 0.4818], phi:[0.4557]] | [X:[], M:[[-4, 0], [0, 0], [-4, 1], [0, -1], [0, 1]], q:[[4, 0], [0, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_3M_5$, $ M_2M_3$, $ M_1M_5$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.41 + t^2.47 + t^2.73 + t^2.95 + t^3. + t^3.05 + t^3.48 + t^4.26 + t^4.31 + 2*t^4.37 + t^4.42 + t^4.48 + t^4.83 + t^4.84 + t^4.88 + t^4.9 + t^4.94 + t^4.95 + t^5.15 + t^5.2 + t^5.36 + t^5.41 + t^5.43 + 2*t^5.47 + t^5.68 + t^5.73 + t^5.79 + t^5.89 - 2*t^6. - t^6.05 + t^6.21 + t^6.42 - t^6.53 - t^6.59 + t^6.67 + 2*t^6.73 + 2*t^6.78 + 2*t^6.84 + t^6.89 + t^6.94 + t^6.95 + t^6.99 + t^7.05 + 2*t^7.1 + t^7.16 + t^7.2 + t^7.21 + t^7.24 + 2*t^7.26 + t^7.3 + 3*t^7.31 + t^7.35 + 2*t^7.37 + t^7.41 + 2*t^7.42 + t^7.48 - t^7.52 + t^7.53 + t^7.56 + t^7.62 - t^7.63 + t^7.67 + t^7.73 - t^7.74 + t^7.77 + t^7.79 + t^7.83 + 2*t^7.84 + 2*t^7.88 + t^7.9 + 2*t^7.94 + t^8.09 - t^8.11 + t^8.15 + 2*t^8.2 - t^8.22 + t^8.3 + t^8.32 - t^8.36 + t^8.38 - 2*t^8.41 + t^8.43 - 3*t^8.47 + t^8.57 - t^8.58 + 3*t^8.62 + 2*t^8.68 - t^8.7 + t^8.73 + t^8.79 + 3*t^8.84 - t^8.89 + t^8.9 + t^8.91 - 3*t^8.95 - t^4.37/y - t^6.78/y - t^6.84/y - t^7.1/y + t^7.63/y + t^7.88/y + t^7.9/y + t^7.95/y + t^8.15/y + t^8.2/y + t^8.36/y + (2*t^8.41)/y + (2*t^8.47)/y + t^8.52/y + t^8.68/y + t^8.73/y + t^8.79/y + t^8.89/y + (2*t^8.95)/y - t^4.37*y - t^6.78*y - t^6.84*y - t^7.1*y + t^7.63*y + t^7.88*y + t^7.9*y + t^7.95*y + t^8.15*y + t^8.2*y + t^8.36*y + 2*t^8.41*y + 2*t^8.47*y + t^8.52*y + t^8.68*y + t^8.73*y + t^8.79*y + t^8.89*y + 2*t^8.95*y | (g2*t^2.41)/g1^4 + t^2.47/g1^4 + t^2.73/g1^2 + g2*t^2.95 + t^3. + t^3.05/g2 + g1^4*g2*t^3.48 + (g2^2*t^4.26)/g1 + (g2*t^4.31)/g1 + (2*t^4.37)/g1 + t^4.42/(g1*g2) + t^4.48/(g1*g2^2) + (g2^2*t^4.83)/g1^8 + g1^3*g2*t^4.84 + (g2*t^4.88)/g1^8 + g1^3*t^4.9 + t^4.94/g1^8 + (g1^3*t^4.95)/g2 + (g2*t^5.15)/g1^6 + t^5.2/g1^6 + (g2^2*t^5.36)/g1^4 + (g2*t^5.41)/g1^4 + g1^7*t^5.43 + (2*t^5.47)/g1^4 + (g2*t^5.68)/g1^2 + t^5.73/g1^2 + t^5.79/(g1^2*g2) + g2^2*t^5.89 - 2*t^6. - t^6.05/g2 + g1^2*g2*t^6.21 + g1^4*g2^2*t^6.42 - g1^4*t^6.53 - (g1^4*t^6.59)/g2 + (g2^3*t^6.67)/g1^5 + (2*g2^2*t^6.73)/g1^5 + (2*g2*t^6.78)/g1^5 + (2*t^6.84)/g1^5 + t^6.89/(g1^5*g2) + t^6.94/(g1^5*g2^2) + g1^8*g2^2*t^6.95 + (g2^2*t^6.99)/g1^3 + (g2*t^7.05)/g1^3 + (2*t^7.1)/g1^3 + t^7.16/(g1^3*g2) + (g2^3*t^7.2)/g1 + t^7.21/(g1^3*g2^2) + (g2^3*t^7.24)/g1^12 + (2*g2^2*t^7.26)/g1 + (g2^2*t^7.3)/g1^12 + (3*g2*t^7.31)/g1 + (g2*t^7.35)/g1^12 + (2*t^7.37)/g1 + t^7.41/g1^12 + (2*t^7.42)/(g1*g2) + t^7.48/(g1*g2^2) - g1*g2^2*t^7.52 + t^7.53/(g1*g2^3) + (g2^2*t^7.56)/g1^10 + (g2*t^7.62)/g1^10 - g1*t^7.63 + t^7.67/g1^10 + g1^3*g2^3*t^7.73 - (g1*t^7.74)/g2^2 + (g2^3*t^7.77)/g1^8 + g1^3*g2^2*t^7.79 + (g2^2*t^7.83)/g1^8 + 2*g1^3*g2*t^7.84 + (2*g2*t^7.88)/g1^8 + g1^3*t^7.9 + (2*t^7.94)/g1^8 + (g2^2*t^8.09)/g1^6 - g1^5*g2*t^8.11 + (g2*t^8.15)/g1^6 + (2*t^8.2)/g1^6 - (g1^5*t^8.22)/g2 + (g2^3*t^8.3)/g1^4 + g1^7*g2^2*t^8.32 - (g2^2*t^8.36)/g1^4 + g1^7*g2*t^8.38 - (2*g2*t^8.41)/g1^4 + g1^7*t^8.43 - (3*t^8.47)/g1^4 - t^8.52/(g1^4*g2) + (g2^4*t^8.52)/g1^2 + (g2^3*t^8.57)/g1^2 - t^8.58/(g1^4*g2^2) + (3*g2^2*t^8.62)/g1^2 + (2*g2*t^8.68)/g1^2 - g1^9*t^8.7 + t^8.73/g1^2 + t^8.79/(g1^2*g2) + (2*t^8.84)/(g1^2*g2^2) + g2^3*t^8.84 - g2^2*t^8.89 + t^8.9/(g1^2*g2^3) + g1^11*g2*t^8.91 + t^8.95/(g1^2*g2^4) - 4*g2*t^8.95 - t^4.37/(g1*y) - (g2*t^6.78)/(g1^5*y) - t^6.84/(g1^5*y) - t^7.1/(g1^3*y) + (g1*t^7.63)/y + (g2*t^7.88)/(g1^8*y) + (g1^3*t^7.9)/y + (g1^3*t^7.95)/(g2*y) + (g2*t^8.15)/(g1^6*y) + t^8.2/(g1^6*y) + (g2^2*t^8.36)/(g1^4*y) + (2*g2*t^8.41)/(g1^4*y) + (2*t^8.47)/(g1^4*y) + t^8.52/(g1^4*g2*y) + (g2*t^8.68)/(g1^2*y) + t^8.73/(g1^2*y) + t^8.79/(g1^2*g2*y) + (g2^2*t^8.89)/y + (2*g2*t^8.95)/y - (t^4.37*y)/g1 - (g2*t^6.78*y)/g1^5 - (t^6.84*y)/g1^5 - (t^7.1*y)/g1^3 + g1*t^7.63*y + (g2*t^7.88*y)/g1^8 + g1^3*t^7.9*y + (g1^3*t^7.95*y)/g2 + (g2*t^8.15*y)/g1^6 + (t^8.2*y)/g1^6 + (g2^2*t^8.36*y)/g1^4 + (2*g2*t^8.41*y)/g1^4 + (2*t^8.47*y)/g1^4 + (t^8.52*y)/(g1^4*g2) + (g2*t^8.68*y)/g1^2 + (t^8.73*y)/g1^2 + (t^8.79*y)/(g1^2*g2) + g2^2*t^8.89*y + 2*g2*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 966 | $M_1q_1q_2$ + $ 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$ + $ M_2^2$ + $ M_1M_3$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[0.9904, 1.0, 1.0096, 0.9809, 1.0191], q:[0.5096, 0.5], qb:[0.4809, 0.5191], phi:[0.4976]] | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.38 + t^4.44 + t^4.46 + 2*t^4.49 + t^4.52 + 2*t^4.55 + t^4.58 + t^4.61 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 965 | $M_1q_1q_2$ + $ 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$ + $ M_2^2$ + $ M_3M_6$ | 0.7077 | 0.8618 | 0.8212 | [X:[], M:[0.8615, 1.0, 0.8615, 1.0, 1.0, 1.1385], q:[0.6385, 0.5], qb:[0.5, 0.5], phi:[0.4654]] | t^2.58 + t^2.79 + 3*t^3. + 2*t^3.42 + 6*t^4.4 + 3*t^4.81 + t^5.17 + t^5.23 + t^5.38 + t^5.58 + 3*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 967 | $M_1q_1q_2$ + $ 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$ + $ M_2^2$ + $ M_3\phi_1^2$ | 0.6934 | 0.8487 | 0.817 | [X:[], M:[0.9795, 1.0, 1.0103, 0.9692, 1.0308], q:[0.5205, 0.5], qb:[0.4692, 0.5308], phi:[0.4949]] | t^2.91 + t^2.94 + t^2.97 + t^3. + t^3.03 + t^3.09 + t^3.15 + t^4.3 + t^4.39 + t^4.45 + 2*t^4.48 + t^4.55 + t^4.58 + t^4.61 + t^4.64 + t^4.67 + 2*t^5.88 + 2*t^5.94 + t^5.97 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 964 | $M_1q_1q_2$ + $ 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$ + $ M_2^2$ + $ M_5M_6$ | 0.7216 | 0.8864 | 0.8141 | [X:[], M:[0.8185, 1.0, 0.8261, 0.9925, 1.0075, 0.9925], q:[0.6815, 0.5], qb:[0.4925, 0.5075], phi:[0.4546]] | t^2.46 + t^2.48 + t^2.73 + 2*t^2.98 + t^3. + t^3.57 + t^4.32 + t^4.34 + 2*t^4.36 + t^4.39 + t^4.41 + t^4.89 + 2*t^4.91 + 2*t^4.93 + t^4.96 + t^5.18 + t^5.21 + t^5.43 + t^5.45 + 3*t^5.46 + 2*t^5.71 + t^5.73 + 2*t^5.95 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | 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$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |