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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | [X:[], M:[[1, -4, -1], [0, 1, -5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. + 4*t^6.26 + 3*t^6.29 + 2*t^6.32 + t^6.34 + t^6.66 + 2*t^6.69 + t^6.71 + t^6.77 + 2*t^7. + 2*t^7.03 - 2*t^7.08 - t^7.11 + t^7.67 + 2*t^7.69 + 3*t^7.72 + 2*t^7.74 + t^7.77 + t^7.88 + 3*t^8.01 + 6*t^8.03 + 3*t^8.06 - 4*t^8.09 - 2*t^8.11 - 2*t^8.14 + 5*t^8.35 + 4*t^8.38 + 3*t^8.4 + 2*t^8.43 + t^8.46 + t^8.49 + 2*t^8.75 + 4*t^8.78 + 2*t^8.8 - 3*t^8.83 - 2*t^8.85 - t^4.06/y - (2*t^6.15)/y - t^6.17/y + t^7.18/y + (2*t^7.2)/y + (2*t^7.92)/y + (2*t^7.94)/y + (2*t^7.97)/y - (3*t^8.23)/y - (2*t^8.26)/y - t^8.29/y + (2*t^8.92)/y + (5*t^8.95)/y + (4*t^8.97)/y - t^4.06*y - 2*t^6.15*y - t^6.17*y + t^7.18*y + 2*t^7.2*y + 2*t^7.92*y + 2*t^7.94*y + 2*t^7.97*y - 3*t^8.23*y - 2*t^8.26*y - t^8.29*y + 2*t^8.92*y + 5*t^8.95*y + 4*t^8.97*y | (g2*t^2.09)/g3^5 + (g1*t^2.09)/(g2^4*g3) + t^2.11/(g2^2*g3^2) + g2^3*g3^3*t^2.83 + g1*g2^3*t^3.83 + (g2^5*t^3.86)/g3 + g1*g3^3*t^3.86 + g2^2*g3^2*t^3.89 + (g2*g3^4*t^3.94)/g1 + (g2^2*t^4.18)/g3^10 + (g1*t^4.18)/(g2^3*g3^6) + (g1^2*t^4.18)/(g2^8*g3^2) + t^4.2/(g2*g3^7) + (g1*t^4.2)/(g2^6*g3^3) + t^4.23/(g2^4*g3^4) + (g2^4*t^4.92)/g3^2 + (g1*g3^2*t^4.92)/g2 + 2*g2*g3*t^4.94 + g2^6*g3^6*t^5.66 + (g1*g2^4*t^5.92)/g3^5 + (g1^2*t^5.92)/(g2*g3) + (g2^6*t^5.95)/g3^6 + (2*g1*g2*t^5.95)/g3^2 + (g1^2*g3^2*t^5.95)/g2^4 + (g2^3*t^5.97)/g3^3 + (g1*g3*t^5.97)/g2^2 - 2*t^6. + (g2^3*t^6.26)/g3^15 + (g1*t^6.26)/(g2^2*g3^11) + (g1^2*t^6.26)/(g2^7*g3^7) + (g1^3*t^6.26)/(g2^12*g3^3) + t^6.29/g3^12 + (g1*t^6.29)/(g2^5*g3^8) + (g1^2*t^6.29)/(g2^10*g3^4) + t^6.32/(g2^3*g3^9) + (g1*t^6.32)/(g2^8*g3^5) + t^6.34/(g2^6*g3^6) + g1*g2^6*g3^3*t^6.66 + g2^8*g3^2*t^6.69 + g1*g2^3*g3^6*t^6.69 + g2^5*g3^5*t^6.71 + (g2^4*g3^7*t^6.77)/g1 + (g2^5*t^7.)/g3^7 + (g1^2*g3*t^7.)/g2^5 + (g1*t^7.03)/g2^3 + (g2^2*t^7.03)/g3^4 - (g2*t^7.08)/(g1*g3^2) - (g3^2*t^7.08)/g2^4 - (g3*t^7.11)/(g1*g2^2) + g1^2*g2^6*t^7.67 + (g1*g2^8*t^7.69)/g3 + g1^2*g2^3*g3^3*t^7.69 + (g2^10*t^7.72)/g3^2 + g1*g2^5*g3^2*t^7.72 + g1^2*g3^6*t^7.72 + g2^7*g3*t^7.74 + g1*g2^2*g3^5*t^7.74 + g2^4*g3^4*t^7.77 + (g2^2*g3^8*t^7.88)/g1^2 + (g1*g2^5*t^8.01)/g3^10 + (g1^2*t^8.01)/g3^6 + (g1^3*t^8.01)/(g2^5*g3^2) + (g2^7*t^8.03)/g3^11 + (2*g1*g2^2*t^8.03)/g3^7 + (2*g1^2*t^8.03)/(g2^3*g3^3) + (g1^3*g3*t^8.03)/g2^8 + (g1^2*t^8.06)/g2^6 + (g2^4*t^8.06)/g3^8 + (g1*t^8.06)/(g2*g3^4) - (2*g2*t^8.09)/g3^5 - (2*g1*t^8.09)/(g2^4*g3) - (2*t^8.11)/(g2^2*g3^2) - t^8.14/(g1*g3^3) - (g3*t^8.14)/g2^5 + (g2^4*t^8.35)/g3^20 + (g1*t^8.35)/(g2*g3^16) + (g1^2*t^8.35)/(g2^6*g3^12) + (g1^3*t^8.35)/(g2^11*g3^8) + (g1^4*t^8.35)/(g2^16*g3^4) + (g2*t^8.38)/g3^17 + (g1*t^8.38)/(g2^4*g3^13) + (g1^2*t^8.38)/(g2^9*g3^9) + (g1^3*t^8.38)/(g2^14*g3^5) + t^8.4/(g2^2*g3^14) + (g1*t^8.4)/(g2^7*g3^10) + (g1^2*t^8.4)/(g2^12*g3^6) + t^8.43/(g2^5*g3^11) + (g1*t^8.43)/(g2^10*g3^7) + t^8.46/(g2^8*g3^8) + g2^9*g3^9*t^8.49 + (g1*g2^7*t^8.75)/g3^2 + g1^2*g2^2*g3^2*t^8.75 + (g2^9*t^8.78)/g3^3 + 2*g1*g2^4*g3*t^8.78 + (g1^2*g3^5*t^8.78)/g2 + g2^6*t^8.8 + g1*g2*g3^4*t^8.8 - 3*g2^3*g3^3*t^8.83 - (g2^5*g3^2*t^8.85)/g1 - g3^6*t^8.85 - t^4.06/(g2*g3*y) - t^6.15/(g3^6*y) - (g1*t^6.15)/(g2^5*g3^2*y) - t^6.17/(g2^3*g3^3*y) + (g1*t^7.18)/(g2^3*g3^6*y) + t^7.2/(g2*g3^7*y) + (g1*t^7.2)/(g2^6*g3^3*y) + (g2^4*t^7.92)/(g3^2*y) + (g1*g3^2*t^7.92)/(g2*y) + (2*g2*g3*t^7.94)/y + (g2^3*t^7.97)/(g1*y) + (g3^4*t^7.97)/(g2^2*y) - (g2*t^8.23)/(g3^11*y) - (g1*t^8.23)/(g2^4*g3^7*y) - (g1^2*t^8.23)/(g2^9*g3^3*y) - t^8.26/(g2^2*g3^8*y) - (g1*t^8.26)/(g2^7*g3^4*y) - t^8.29/(g2^5*g3^5*y) + (g1*g2^4*t^8.92)/(g3^5*y) + (g1^2*t^8.92)/(g2*g3*y) + (g2^6*t^8.95)/(g3^6*y) + (3*g1*g2*t^8.95)/(g3^2*y) + (g1^2*g3^2*t^8.95)/(g2^4*y) + (2*g2^3*t^8.97)/(g3^3*y) + (2*g1*g3*t^8.97)/(g2^2*y) - (t^4.06*y)/(g2*g3) - (t^6.15*y)/g3^6 - (g1*t^6.15*y)/(g2^5*g3^2) - (t^6.17*y)/(g2^3*g3^3) + (g1*t^7.18*y)/(g2^3*g3^6) + (t^7.2*y)/(g2*g3^7) + (g1*t^7.2*y)/(g2^6*g3^3) + (g2^4*t^7.92*y)/g3^2 + (g1*g3^2*t^7.92*y)/g2 + 2*g2*g3*t^7.94*y + (g2^3*t^7.97*y)/g1 + (g3^4*t^7.97*y)/g2^2 - (g2*t^8.23*y)/g3^11 - (g1*t^8.23*y)/(g2^4*g3^7) - (g1^2*t^8.23*y)/(g2^9*g3^3) - (t^8.26*y)/(g2^2*g3^8) - (g1*t^8.26*y)/(g2^7*g3^4) - (t^8.29*y)/(g2^5*g3^5) + (g1*g2^4*t^8.92*y)/g3^5 + (g1^2*t^8.92*y)/(g2*g3) + (g2^6*t^8.95*y)/g3^6 + (3*g1*g2*t^8.95*y)/g3^2 + (g1^2*g3^2*t^8.95*y)/g2^4 + (2*g2^3*t^8.97*y)/g3^3 + (2*g1*g3*t^8.97*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 118 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail | |
| 121 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | t^2.04 + t^2.21 + t^2.64 + t^2.93 + t^3.07 + 2*t^3.36 + t^3.65 + 2*t^4.08 + t^4.25 + t^4.41 + 2*t^4.68 + t^4.85 + t^4.97 + t^5.11 + t^5.14 + t^5.28 + 2*t^5.4 + 2*t^5.57 + t^5.69 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 122 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.669 | 0.8356 | 0.8006 | [X:[], M:[0.6922, 0.6922, 0.7], q:[0.8367, 0.8133], qb:[0.4711, 0.4789], phi:[0.35]] | 2*t^2.08 + 2*t^2.1 + t^2.85 + t^3.85 + 2*t^3.88 + t^3.95 + 3*t^4.15 + 4*t^4.18 + 3*t^4.2 + 2*t^4.93 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.95 + 2*t^5.98 - 3*t^6. - t^4.05/y - t^4.05*y | detail | |
| 120 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail | |
| 119 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ | 0.6689 | 0.8346 | 0.8015 | [X:[], M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.09 + t^2.86 + 4*t^3.91 + 10*t^4.19 + 5*t^4.95 + t^5.72 + 7*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 49 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail |