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 |
|---|---|---|---|---|---|---|---|---|---|
| 48213 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6995 | 0.8854 | 0.79 | [X:[], M:[1.1668, 1.022, 0.8332, 0.7855, 0.7627, 0.7149], q:[0.3927, 0.4405], qb:[0.5853, 0.7741], phi:[0.4519]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [1, -5]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_5^2$, $ M_4M_5$, $ M_3M_6$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ M_2M_5$, $ M_5q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$ | . | t^2.14 + t^2.29 + t^2.36 + t^2.5 + t^2.71 + t^3.07 + t^3.08 + t^3.5 + t^4. + t^4.08 + 2*t^4.29 + 2*t^4.43 + t^4.5 + t^4.58 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.87 + 2*t^5. + t^5.07 + 2*t^5.21 + t^5.22 + t^5.35 + t^5.37 + t^5.42 + t^5.43 + t^5.58 + t^5.65 + t^5.78 + 2*t^5.79 - 2*t^6. + t^6.13 + t^6.14 + t^6.15 + t^6.22 + t^6.29 + t^6.37 + 2*t^6.43 + t^6.5 + 3*t^6.58 + 2*t^6.65 + t^6.71 + 2*t^6.72 - t^6.78 + 3*t^6.79 + 2*t^6.86 - t^6.92 + 2*t^6.93 + 3*t^7. + t^7.01 + t^7.06 + t^7.07 + 2*t^7.08 + 3*t^7.14 + 2*t^7.16 + t^7.21 + t^7.22 + t^7.29 + 2*t^7.36 + 2*t^7.37 + t^7.42 + 3*t^7.5 + 2*t^7.51 + 2*t^7.57 + 2*t^7.58 + t^7.64 + t^7.65 + t^7.71 + t^7.72 + t^7.78 + t^7.79 + t^7.86 + t^7.92 + 2*t^7.93 + t^7.94 + t^8. + t^8.07 + 3*t^8.08 + t^8.13 - 3*t^8.14 + t^8.28 - t^8.29 + t^8.3 - 3*t^8.36 + 2*t^8.37 + t^8.42 + 2*t^8.43 + t^8.44 + 2*t^8.49 - 2*t^8.5 + 2*t^8.51 + 2*t^8.58 + 2*t^8.65 - 3*t^8.71 + 2*t^8.72 + 3*t^8.79 + t^8.84 + t^8.85 + 5*t^8.87 - 2*t^8.92 + 2*t^8.93 + t^8.95 - t^4.36/y - t^6.5/y - t^6.64/y - t^6.71/y - t^7.07/y + t^7.29/y - t^7.42/y + t^7.43/y + t^7.5/y + (3*t^7.64)/y + t^7.79/y + (2*t^7.86)/y + (2*t^8.)/y + (2*t^8.07)/y + (3*t^8.21)/y + t^8.22/y + t^8.35/y + t^8.37/y + t^8.42/y + t^8.43/y + t^8.57/y + t^8.58/y + t^8.78/y + t^8.79/y - t^8.93/y - t^4.36*y - t^6.5*y - t^6.64*y - t^6.71*y - t^7.07*y + t^7.29*y - t^7.42*y + t^7.43*y + t^7.5*y + 3*t^7.64*y + t^7.79*y + 2*t^7.86*y + 2*t^8.*y + 2*t^8.07*y + 3*t^8.21*y + t^8.22*y + t^8.35*y + t^8.37*y + t^8.42*y + t^8.43*y + t^8.57*y + t^8.58*y + t^8.78*y + t^8.79*y - t^8.93*y | (g1*t^2.14)/g2^5 + (g2^18*t^2.29)/g1^2 + (g1^2*t^2.36)/g2^16 + (g2^7*t^2.5)/g1 + t^2.71/g2^4 + (g2^8*t^3.07)/g1^2 + (g2^15*t^3.08)/g1 + (g1*t^3.5)/g2^7 + (g2^28*t^4.)/g1^4 + g1*g2*t^4.08 + (2*g1^2*t^4.29)/g2^10 + (2*g2^13*t^4.43)/g1 + (g1^3*t^4.5)/g2^21 + (g2^36*t^4.58)/g1^4 + 2*g2^2*t^4.64 + (g1^4*t^4.71)/g2^32 + (g2^25*t^4.79)/g1^3 + (2*g1*t^4.86)/g2^9 + (g1^2*t^4.87)/g2^2 + (2*g2^14*t^5.)/g1^2 + (g1^2*t^5.07)/g2^20 + (2*g2^3*t^5.21)/g1 + g2^10*t^5.22 + (g2^26*t^5.35)/g1^4 + (g2^33*t^5.37)/g1^3 + t^5.42/g2^8 + (g1*t^5.43)/g2 + (g2^22*t^5.58)/g1^2 + (g1^2*t^5.65)/g2^12 + (g2^4*t^5.78)/g1^2 + (2*g2^11*t^5.79)/g1 - 2*t^6. + (g2^16*t^6.13)/g1^4 + (g2^23*t^6.14)/g1^3 + (g2^30*t^6.15)/g1^2 + (g1^2*t^6.22)/g2^4 + (g2^46*t^6.29)/g1^6 + (g2^19*t^6.37)/g1 + (2*g1^3*t^6.43)/g2^15 + (g2^35*t^6.5)/g1^5 + 3*g2^8*t^6.58 + (2*g1^4*t^6.65)/g2^26 + (g2^24*t^6.71)/g1^4 + (2*g2^31*t^6.72)/g1^3 - t^6.78/g2^10 + (3*g1*t^6.79)/g2^3 + (g1^5*t^6.86)/g2^37 + (g2^54*t^6.86)/g1^6 - (g2^13*t^6.92)/g1^3 + (2*g2^20*t^6.93)/g1^2 + (3*g1^2*t^7.)/g2^14 + (g1^3*t^7.01)/g2^7 + (g2^36*t^7.06)/g1^6 + (g1^6*t^7.07)/g2^48 + (2*g2^43*t^7.08)/g1^5 + (3*g2^9*t^7.14)/g1 + 2*g2^16*t^7.16 + (g1^3*t^7.21)/g2^25 + (g1^4*t^7.22)/g2^18 + (g2^32*t^7.29)/g1^4 + (2*t^7.36)/g2^2 + 2*g1*g2^5*t^7.37 + (g1^4*t^7.42)/g2^36 + (3*g2^21*t^7.5)/g1^3 + (2*g2^28*t^7.51)/g1^2 + (2*g1*t^7.57)/g2^13 + (2*g1^2*t^7.58)/g2^6 + (g2^44*t^7.64)/g1^6 + (g2^51*t^7.65)/g1^5 + (g2^10*t^7.71)/g1^2 + (g2^17*t^7.72)/g1 + (g1^2*t^7.78)/g2^24 + (g1^3*t^7.79)/g2^17 + (g2^40*t^7.86)/g1^4 + t^7.92/(g1*g2) + 2*g2^6*t^7.93 + g1*g2^13*t^7.94 + (g2^56*t^8.)/g1^8 + (g2^22*t^8.07)/g1^4 + (3*g2^29*t^8.08)/g1^3 + t^8.13/g2^12 - (3*g1*t^8.14)/g2^5 + (g2^11*t^8.28)/g1^3 - (g2^18*t^8.29)/g1^2 + (g2^25*t^8.3)/g1 - (3*g1^2*t^8.36)/g2^16 + (2*g1^3*t^8.37)/g2^9 + (g2^34*t^8.42)/g1^6 + (2*g2^41*t^8.43)/g1^5 + (g2^48*t^8.44)/g1^4 + (2*t^8.49)/g1^2 - (2*g2^7*t^8.5)/g1 + 2*g2^14*t^8.51 - (g1^3*t^8.57)/g2^27 + (g2^64*t^8.57)/g1^8 + (2*g1^4*t^8.58)/g2^20 + (2*g2^37*t^8.65)/g1^3 - (3*t^8.71)/g2^4 + 2*g1*g2^3*t^8.72 + (2*g1^5*t^8.79)/g2^31 + (g2^53*t^8.79)/g1^7 + (g2^12*t^8.84)/g1^4 + (g2^19*t^8.85)/g1^3 + (5*g2^26*t^8.87)/g1^2 - (2*g1*t^8.92)/g2^15 + (2*g1^2*t^8.93)/g2^8 + (g1^3*t^8.95)/g2 - t^4.36/(g2^2*y) - (g1*t^6.5)/(g2^7*y) - (g2^16*t^6.64)/(g1^2*y) - (g1^2*t^6.71)/(g2^18*y) - t^7.07/(g2^6*y) + (g1^2*t^7.29)/(g2^10*y) - (g2^6*t^7.42)/(g1^2*y) + (g2^13*t^7.43)/(g1*y) + (g1^3*t^7.5)/(g2^21*y) + (3*g2^2*t^7.64)/y + (g2^25*t^7.79)/(g1^3*y) + (2*g1*t^7.86)/(g2^9*y) + (2*g2^14*t^8.)/(g1^2*y) + (2*g1^2*t^8.07)/(g2^20*y) + (3*g2^3*t^8.21)/(g1*y) + (g2^10*t^8.22)/y + (g2^26*t^8.35)/(g1^4*y) + (g2^33*t^8.37)/(g1^3*y) + t^8.42/(g2^8*y) + (g1*t^8.43)/(g2*y) + (g2^15*t^8.57)/(g1^3*y) + (g2^22*t^8.58)/(g1^2*y) + (g2^4*t^8.78)/(g1^2*y) + (g2^11*t^8.79)/(g1*y) - (g2^34*t^8.93)/(g1^4*y) - (t^4.36*y)/g2^2 - (g1*t^6.5*y)/g2^7 - (g2^16*t^6.64*y)/g1^2 - (g1^2*t^6.71*y)/g2^18 - (t^7.07*y)/g2^6 + (g1^2*t^7.29*y)/g2^10 - (g2^6*t^7.42*y)/g1^2 + (g2^13*t^7.43*y)/g1 + (g1^3*t^7.5*y)/g2^21 + 3*g2^2*t^7.64*y + (g2^25*t^7.79*y)/g1^3 + (2*g1*t^7.86*y)/g2^9 + (2*g2^14*t^8.*y)/g1^2 + (2*g1^2*t^8.07*y)/g2^20 + (3*g2^3*t^8.21*y)/g1 + g2^10*t^8.22*y + (g2^26*t^8.35*y)/g1^4 + (g2^33*t^8.37*y)/g1^3 + (t^8.42*y)/g2^8 + (g1*t^8.43*y)/g2 + (g2^15*t^8.57*y)/g1^3 + (g2^22*t^8.58*y)/g1^2 + (g2^4*t^8.78*y)/g1^2 + (g2^11*t^8.79*y)/g1 - (g2^34*t^8.93*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 54780 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_6q_2\tilde{q}_1$ | 0.6708 | 0.8437 | 0.795 | [X:[], M:[1.1673, 0.8655, 0.8327, 0.7345, 0.8655, 0.7673], q:[0.3673, 0.4655], qb:[0.7673, 0.8], phi:[0.4]] | t^2.2 + t^2.3 + t^2.4 + t^2.5 + 2*t^2.6 + t^3.5 + t^3.7 + t^3.99 + t^4.41 + t^4.51 + 3*t^4.6 + 3*t^4.7 + 3*t^4.8 + 4*t^4.9 + 3*t^5. + t^5.09 + 3*t^5.19 + 2*t^5.8 + t^5.9 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ | 0.6793 | 0.8474 | 0.8016 | [X:[], M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.28 + t^2.36 + t^2.49 + t^2.7 + t^3.04 + t^3.09 + t^3.51 + t^3.85 + t^3.98 + t^4.1 + t^4.31 + t^4.44 + t^4.57 + t^4.65 + t^4.73 + t^4.78 + t^4.86 + t^4.9 + 2*t^4.99 + t^5.07 + t^5.2 + t^5.33 + t^5.37 + t^5.41 + t^5.45 + t^5.58 + t^5.75 + 2*t^5.79 - 2*t^6. - t^4.35/y - t^4.35*y | detail |