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 |
|---|---|---|---|---|---|---|---|---|---|
| 107 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7047 | 0.8479 | 0.8312 | [X:[], M:[0.8283, 0.8283, 0.8283], q:[0.8225, 0.5858], qb:[0.5858, 0.5858], phi:[0.355]] | [X:[], M:[[-7, -7, 0], [-7, 0, -7], [0, -7, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_1^2$, $ M_2^2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_1M_2$ | . | -9 | t^2.13 + 3*t^2.48 + 3*t^4.23 + t^4.26 + 6*t^4.58 + 3*t^4.61 + 6*t^4.97 - 9*t^6. + t^6.39 + 12*t^6.71 + 3*t^6.74 + 10*t^7.06 + 6*t^7.1 + 10*t^7.45 - t^7.74 - 3*t^8.1 - 9*t^8.13 - 21*t^8.48 + t^8.52 + 10*t^8.81 + 6*t^8.84 + 3*t^8.87 - t^4.06/y - t^6.19/y - (3*t^6.55)/y + (3*t^7.58)/y + (3*t^7.61)/y + t^7.94/y + (3*t^7.97)/y - t^8.32/y - (3*t^8.68)/y - t^4.06*y - t^6.19*y - 3*t^6.55*y + 3*t^7.58*y + 3*t^7.61*y + t^7.94*y + 3*t^7.97*y - t^8.32*y - 3*t^8.68*y | t^2.13/(g1^4*g2^4*g3^4) + t^2.48/(g1^7*g2^7) + t^2.48/(g1^7*g3^7) + t^2.48/(g2^7*g3^7) + g1^8*g2*g3*t^4.23 + g1*g2^8*g3*t^4.23 + g1*g2*g3^8*t^4.23 + t^4.26/(g1^8*g2^8*g3^8) + (g1^12*t^4.58)/(g2^2*g3^2) + (g1^5*g2^5*t^4.58)/g3^2 + (g2^12*t^4.58)/(g1^2*g3^2) + (g1^5*g3^5*t^4.58)/g2^2 + (g2^5*g3^5*t^4.58)/g1^2 + (g3^12*t^4.58)/(g1^2*g2^2) + t^4.61/(g1^4*g2^11*g3^11) + t^4.61/(g1^11*g2^4*g3^11) + t^4.61/(g1^11*g2^11*g3^4) + t^4.97/(g1^14*g2^14) + t^4.97/(g1^14*g3^14) + t^4.97/(g2^14*g3^14) + t^4.97/(g1^7*g2^7*g3^14) + t^4.97/(g1^7*g2^14*g3^7) + t^4.97/(g1^14*g2^7*g3^7) - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.)/g3^7 - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1^7 - (g3^7*t^6.)/g2^7 + t^6.39/(g1^12*g2^12*g3^12) + (2*g1^8*t^6.71)/(g2^6*g3^6) + (2*g1*g2*t^6.71)/g3^6 + (2*g2^8*t^6.71)/(g1^6*g3^6) + (2*g1*g3*t^6.71)/g2^6 + (2*g2*g3*t^6.71)/g1^6 + (2*g3^8*t^6.71)/(g1^6*g2^6) + t^6.74/(g1^8*g2^15*g3^15) + t^6.74/(g1^15*g2^8*g3^15) + t^6.74/(g1^15*g2^15*g3^8) + (g1^12*t^7.06)/(g2^9*g3^9) + (g1^5*t^7.06)/(g2^2*g3^9) + (g2^5*t^7.06)/(g1^2*g3^9) + (g2^12*t^7.06)/(g1^9*g3^9) + (g1^5*t^7.06)/(g2^9*g3^2) + t^7.06/(g1^2*g2^2*g3^2) + (g2^5*t^7.06)/(g1^9*g3^2) + (g3^5*t^7.06)/(g1^2*g2^9) + (g3^5*t^7.06)/(g1^9*g2^2) + (g3^12*t^7.06)/(g1^9*g2^9) + t^7.1/(g1^4*g2^18*g3^18) + t^7.1/(g1^11*g2^11*g3^18) + t^7.1/(g1^18*g2^4*g3^18) + t^7.1/(g1^11*g2^18*g3^11) + t^7.1/(g1^18*g2^11*g3^11) + t^7.1/(g1^18*g2^18*g3^4) + t^7.45/(g1^21*g2^21) + t^7.45/(g1^21*g3^21) + t^7.45/(g2^21*g3^21) + t^7.45/(g1^7*g2^14*g3^21) + t^7.45/(g1^14*g2^7*g3^21) + t^7.45/(g1^7*g2^21*g3^14) + t^7.45/(g1^14*g2^14*g3^14) + t^7.45/(g1^21*g2^7*g3^14) + t^7.45/(g1^14*g2^21*g3^7) + t^7.45/(g1^21*g2^14*g3^7) - g1^8*g2^8*g3^8*t^7.74 - g1^12*g2^5*g3^5*t^8.1 - g1^5*g2^12*g3^5*t^8.1 - g1^5*g2^5*g3^12*t^8.1 - (g1^3*t^8.13)/(g2^4*g3^11) - (g2^3*t^8.13)/(g1^4*g3^11) - (g1^3*t^8.13)/(g2^11*g3^4) - (3*t^8.13)/(g1^4*g2^4*g3^4) - (g2^3*t^8.13)/(g1^11*g3^4) - (g3^3*t^8.13)/(g1^4*g2^11) - (g3^3*t^8.13)/(g1^11*g2^4) - t^8.48/g1^14 - t^8.48/g2^14 - (4*t^8.48)/(g1^7*g2^7) - t^8.48/g3^14 - (g1^7*t^8.48)/(g2^7*g3^14) - (g2^7*t^8.48)/(g1^7*g3^14) - (4*t^8.48)/(g1^7*g3^7) - (g1^7*t^8.48)/(g2^14*g3^7) - (4*t^8.48)/(g2^7*g3^7) - (g2^7*t^8.48)/(g1^14*g3^7) - (g3^7*t^8.48)/(g1^7*g2^14) - (g3^7*t^8.48)/(g1^14*g2^7) + t^8.52/(g1^16*g2^16*g3^16) + (g1^20*t^8.81)/(g2*g3) + (g1^13*g2^6*t^8.81)/g3 + (g1^6*g2^13*t^8.81)/g3 + (g2^20*t^8.81)/(g1*g3) + (g1^13*g3^6*t^8.81)/g2 + g1^6*g2^6*g3^6*t^8.81 + (g2^13*g3^6*t^8.81)/g1 + (g1^6*g3^13*t^8.81)/g2 + (g2^6*g3^13*t^8.81)/g1 + (g3^20*t^8.81)/(g1*g2) + (g1^4*t^8.84)/(g2^10*g3^10) + t^8.84/(g1^3*g2^3*g3^10) + (g2^4*t^8.84)/(g1^10*g3^10) + t^8.84/(g1^3*g2^10*g3^3) + t^8.84/(g1^10*g2^3*g3^3) + (g3^4*t^8.84)/(g1^10*g2^10) + t^8.87/(g1^12*g2^19*g3^19) + t^8.87/(g1^19*g2^12*g3^19) + t^8.87/(g1^19*g2^19*g3^12) - t^4.06/(g1^2*g2^2*g3^2*y) - t^6.19/(g1^6*g2^6*g3^6*y) - t^6.55/(g1^2*g2^9*g3^9*y) - t^6.55/(g1^9*g2^2*g3^9*y) - t^6.55/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.58)/(g3^2*y) + (g1^5*g3^5*t^7.58)/(g2^2*y) + (g2^5*g3^5*t^7.58)/(g1^2*y) + t^7.61/(g1^4*g2^11*g3^11*y) + t^7.61/(g1^11*g2^4*g3^11*y) + t^7.61/(g1^11*g2^11*g3^4*y) + (g1^2*g2^2*g3^2*t^7.94)/y + t^7.97/(g1^7*g2^7*g3^14*y) + t^7.97/(g1^7*g2^14*g3^7*y) + t^7.97/(g1^14*g2^7*g3^7*y) - t^8.32/(g1^10*g2^10*g3^10*y) - t^8.68/(g1^6*g2^13*g3^13*y) - t^8.68/(g1^13*g2^6*g3^13*y) - t^8.68/(g1^13*g2^13*g3^6*y) - (t^4.06*y)/(g1^2*g2^2*g3^2) - (t^6.19*y)/(g1^6*g2^6*g3^6) - (t^6.55*y)/(g1^2*g2^9*g3^9) - (t^6.55*y)/(g1^9*g2^2*g3^9) - (t^6.55*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.58*y)/g3^2 + (g1^5*g3^5*t^7.58*y)/g2^2 + (g2^5*g3^5*t^7.58*y)/g1^2 + (t^7.61*y)/(g1^4*g2^11*g3^11) + (t^7.61*y)/(g1^11*g2^4*g3^11) + (t^7.61*y)/(g1^11*g2^11*g3^4) + g1^2*g2^2*g3^2*t^7.94*y + (t^7.97*y)/(g1^7*g2^7*g3^14) + (t^7.97*y)/(g1^7*g2^14*g3^7) + (t^7.97*y)/(g1^14*g2^7*g3^7) - (t^8.32*y)/(g1^10*g2^10*g3^10) - (t^8.68*y)/(g1^6*g2^13*g3^13) - (t^8.68*y)/(g1^13*g2^6*g3^13) - (t^8.68*y)/(g1^13*g2^13*g3^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 171 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.49 + t^2.73 + 2*t^3. + t^3.74 + t^3.98 + 2*t^4.01 + 2*t^4.25 + 3*t^4.52 + t^4.99 + t^5.22 + t^5.46 + 2*t^5.49 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
| 172 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.6869 | 0.8254 | 0.8322 | [X:[], M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]] | t^2.35 + 2*t^2.61 + t^3. + 2*t^3.91 + 3*t^4.18 + t^4.3 + 2*t^4.56 + t^4.7 + t^4.95 + 2*t^4.96 + 3*t^5.23 + t^5.35 - 4*t^6. - t^4.18/y - t^4.18*y | detail | |
| 169 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 69 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ | 0.6924 | 0.8273 | 0.837 | [X:[], M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]] | t^2.22 + 2*t^2.54 + t^3.31 + 2*t^4.1 + t^4.25 + 3*t^4.42 + t^4.44 + 2*t^4.57 + t^4.73 + 2*t^4.75 + 3*t^5.07 + t^5.53 - 5*t^6. - t^4.11/y - t^4.11*y | detail |