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 |
|---|---|---|---|---|---|---|---|---|---|
| 3315 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.6303 | 0.8264 | 0.7627 | [X:[], M:[0.954, 1.138, 0.954, 0.862, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]] | [X:[], M:[[4], [-12], [4], [12], [-18], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ M_6$, $ M_1$, $ M_3$, $ 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}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.08 + t^2.12 + t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.37 + 2*t^3.65 + t^3.92 + 2*t^4.16 + t^4.2 + t^4.24 + 2*t^4.43 + t^4.47 + 2*t^4.66 + 3*t^4.71 + 4*t^4.94 + 2*t^4.98 + 3*t^5.17 + 2*t^5.22 + 5*t^5.45 + 4*t^5.72 + t^5.77 + 2*t^5.96 - t^6. + t^6.04 + 6*t^6.23 + t^6.32 + t^6.36 + 5*t^6.51 + 2*t^6.55 + t^6.6 + 4*t^6.74 + 2*t^6.78 + 3*t^6.83 + 8*t^7.02 + 2*t^7.06 + 2*t^7.1 + 3*t^7.25 + 7*t^7.29 + t^7.34 + 8*t^7.53 + 3*t^7.57 + 4*t^7.76 + 7*t^7.8 + t^7.84 + t^7.89 + 8*t^8.03 + t^8.08 - 2*t^8.12 + t^8.16 + 10*t^8.31 - t^8.35 + t^8.44 + t^8.48 + 3*t^8.54 + 2*t^8.59 + t^8.63 + 2*t^8.67 + t^8.72 + 10*t^8.82 - 5*t^8.86 + 2*t^8.91 + 3*t^8.95 - t^4.57/y - t^6.69/y - t^7.16/y + t^7.2/y + t^7.47/y + (2*t^7.66)/y + (3*t^7.71)/y + (4*t^7.94)/y + (3*t^7.98)/y + t^8.17/y + (2*t^8.22)/y + (6*t^8.45)/y + t^8.49/y + (4*t^8.72)/y + (2*t^8.77)/y - t^8.81/y + (2*t^8.96)/y - t^4.57*y - t^6.69*y - t^7.16*y + t^7.2*y + t^7.47*y + 2*t^7.66*y + 3*t^7.71*y + 4*t^7.94*y + 3*t^7.98*y + t^8.17*y + 2*t^8.22*y + 6*t^8.45*y + t^8.49*y + 4*t^8.72*y + 2*t^8.77*y - t^8.81*y + 2*t^8.96*y | g1^5*t^2.08 + t^2.12/g1^18 + t^2.35/g1^3 + 2*g1^12*t^2.59 + 2*g1^4*t^2.86 + g1^11*t^3.37 + 2*g1^3*t^3.65 + t^3.92/g1^5 + 2*g1^10*t^4.16 + t^4.2/g1^13 + t^4.24/g1^36 + 2*g1^2*t^4.43 + t^4.47/g1^21 + 2*g1^17*t^4.66 + (3*t^4.71)/g1^6 + 4*g1^9*t^4.94 + (2*t^4.98)/g1^14 + 3*g1^24*t^5.17 + 2*g1*t^5.22 + 5*g1^16*t^5.45 + 4*g1^8*t^5.72 + t^5.77/g1^15 + 2*g1^23*t^5.96 - t^6. + t^6.04/g1^23 + 6*g1^15*t^6.23 + t^6.32/g1^31 + t^6.36/g1^54 + 5*g1^7*t^6.51 + (2*t^6.55)/g1^16 + t^6.6/g1^39 + 4*g1^22*t^6.74 + (2*t^6.78)/g1 + (3*t^6.83)/g1^24 + 8*g1^14*t^7.02 + (2*t^7.06)/g1^9 + (2*t^7.1)/g1^32 + 3*g1^29*t^7.25 + 7*g1^6*t^7.29 + t^7.34/g1^17 + 8*g1^21*t^7.53 + (3*t^7.57)/g1^2 + 4*g1^36*t^7.76 + 7*g1^13*t^7.8 + t^7.84/g1^10 + t^7.89/g1^33 + 8*g1^28*t^8.03 + g1^5*t^8.08 - (2*t^8.12)/g1^18 + t^8.16/g1^41 + 10*g1^20*t^8.31 - t^8.35/g1^3 + t^8.44/g1^49 + t^8.48/g1^72 + 3*g1^35*t^8.54 + 2*g1^12*t^8.59 + t^8.63/g1^11 + (2*t^8.67)/g1^34 + t^8.72/g1^57 + 10*g1^27*t^8.82 - 5*g1^4*t^8.86 + (2*t^8.91)/g1^19 + (3*t^8.95)/g1^42 - t^4.57/(g1^2*y) - t^6.69/(g1^20*y) - (g1^10*t^7.16)/y + t^7.2/(g1^13*y) + t^7.47/(g1^21*y) + (2*g1^17*t^7.66)/y + (3*t^7.71)/(g1^6*y) + (4*g1^9*t^7.94)/y + (3*t^7.98)/(g1^14*y) + (g1^24*t^8.17)/y + (2*g1*t^8.22)/y + (6*g1^16*t^8.45)/y + t^8.49/(g1^7*y) + (4*g1^8*t^8.72)/y + (2*t^8.77)/(g1^15*y) - t^8.81/(g1^38*y) + (2*g1^23*t^8.96)/y - (t^4.57*y)/g1^2 - (t^6.69*y)/g1^20 - g1^10*t^7.16*y + (t^7.2*y)/g1^13 + (t^7.47*y)/g1^21 + 2*g1^17*t^7.66*y + (3*t^7.71*y)/g1^6 + 4*g1^9*t^7.94*y + (3*t^7.98*y)/g1^14 + g1^24*t^8.17*y + 2*g1*t^8.22*y + 6*g1^16*t^8.45*y + (t^8.49*y)/g1^7 + 4*g1^8*t^8.72*y + (2*t^8.77*y)/g1^15 - (t^8.81*y)/g1^38 + 2*g1^23*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 3754 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ | 0.6262 | 0.819 | 0.7645 | [X:[], M:[0.9571, 1.1288, 0.9571, 0.8712, 0.6932, 0.8712, 1.0429], q:[0.7393, 0.3037], qb:[0.4785, 0.3927], phi:[0.5215]] | t^2.08 + t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.4 + 2*t^3.65 + t^3.91 + t^4.16 + t^4.17 + 2*t^4.18 + t^4.43 + 2*t^4.44 + 3*t^4.69 + 2*t^4.7 + t^4.95 + 3*t^4.96 + t^5.21 + 2*t^5.22 + 3*t^5.23 + 4*t^5.48 + t^5.73 + 4*t^5.74 + t^5.99 - t^4.56/y - t^4.56*y | detail | |
| 3756 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6477 | 0.8571 | 0.7557 | [X:[], M:[0.9554, 1.1339, 0.9554, 0.8661, 0.7009, 0.8661, 0.7835], q:[0.7388, 0.3058], qb:[0.4777, 0.3884], phi:[0.5223]] | t^2.08 + t^2.1 + 2*t^2.35 + 2*t^2.6 + 2*t^2.87 + t^3.38 + t^3.65 + t^3.92 + 2*t^4.17 + t^4.19 + t^4.21 + 3*t^4.43 + 2*t^4.45 + 2*t^4.68 + 5*t^4.7 + 6*t^4.95 + 2*t^4.97 + 3*t^5.2 + 4*t^5.22 + 5*t^5.46 + 4*t^5.73 + 2*t^5.98 - t^6. - t^4.57/y - t^4.57*y | detail | |
| 3755 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6422 | 0.8459 | 0.7591 | [X:[], M:[0.961, 1.117, 0.961, 0.883, 0.6756, 0.883, 0.8573], q:[0.7402, 0.2988], qb:[0.4805, 0.4025], phi:[0.5195]] | t^2.03 + t^2.1 + t^2.34 + t^2.57 + 2*t^2.65 + 2*t^2.88 + 2*t^3.66 + t^3.9 + t^4.05 + t^4.13 + 2*t^4.21 + t^4.36 + 2*t^4.44 + t^4.6 + 4*t^4.68 + 2*t^4.75 + 3*t^4.91 + 4*t^4.99 + t^5.14 + 4*t^5.22 + 3*t^5.3 + t^5.45 + 4*t^5.53 + t^5.69 + 3*t^5.77 + t^5.92 - t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2794 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6191 | 0.8066 | 0.7675 | [X:[], M:[0.9622, 1.1133, 0.9622, 0.8867, 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 |