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 |
|---|---|---|---|---|---|---|---|---|---|
| 348 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | [X:[], M:[[12, 12], [-4, -4], [7, 11], [-2, -10]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ M_2M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_3^2$ | . | -2 | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. + t^6.08 + t^6.15 + 2*t^6.18 + 2*t^6.21 + t^6.24 + 2*t^6.3 + t^6.41 + t^6.43 + t^6.53 + t^6.6 + t^6.63 + t^6.66 + t^6.71 + t^6.79 + 2*t^6.81 + t^6.84 + t^6.93 + t^7.01 + 2*t^7.04 + t^7.07 + t^7.09 + t^7.12 + t^7.14 + t^7.16 + t^7.26 + 2*t^7.42 + 2*t^7.45 + t^7.47 + t^7.49 + t^7.64 + t^7.72 + 2*t^7.75 + t^7.78 + t^7.85 + t^7.87 + t^7.88 + t^7.9 + t^8.02 - 2*t^8.08 + t^8.13 + t^8.16 + t^8.21 + 2*t^8.23 + 3*t^8.26 + 2*t^8.29 + t^8.32 + 2*t^8.35 + t^8.38 + 2*t^8.49 + t^8.5 + t^8.51 + t^8.61 + t^8.66 - t^8.68 + 2*t^8.71 + t^8.73 + t^8.74 + t^8.76 + t^8.83 + t^8.84 + 2*t^8.87 + 2*t^8.89 - 3*t^8.91 + t^8.92 + t^8.94 + t^8.96 - t^8.99 - t^4.34/y - t^6.39/y - t^6.42/y + t^7.13/y - t^7.33/y + t^7.36/y + t^7.74/y + t^7.76/y + t^7.96/y + t^7.99/y + t^8.04/y + t^8.07/y + t^8.26/y + t^8.29/y + t^8.37/y + t^8.4/y - t^8.44/y - t^8.47/y - t^8.5/y + t^8.59/y + (2*t^8.67)/y + t^8.7/y + t^8.77/y + t^8.8/y + t^8.9/y - t^4.34*y - t^6.39*y - t^6.42*y + t^7.13*y - t^7.33*y + t^7.36*y + t^7.74*y + t^7.76*y + t^7.96*y + t^7.99*y + t^8.04*y + t^8.07*y + t^8.26*y + t^8.29*y + t^8.37*y + t^8.4*y - t^8.44*y - t^8.47*y - t^8.5*y + t^8.59*y + 2*t^8.67*y + t^8.7*y + t^8.77*y + t^8.8*y + t^8.9*y | g1^12*g2^12*t^2.05 + t^2.08/(g1^2*g2^10) + g1^4*g2^4*t^2.68 + t^2.91/(g1^11*g2^7) + g1^7*g2^11*t^2.99 + t^3.32/(g1^4*g2^4) + (g2^3*t^3.62)/g1 + (g1^3*t^3.72)/g2 + g1^6*g2^6*t^4.03 + g1^24*g2^24*t^4.1 + 2*g1^10*g2^2*t^4.13 + t^4.16/(g1^4*g2^20) + t^4.25/(g1^9*g2^5) + t^4.36/(g1^5*g2^9) + t^4.58/(g1^20*g2^20) + g1^16*g2^16*t^4.74 + (g1^2*t^4.76)/g2^6 + g1*g2^5*t^4.96 + t^4.99/(g1^13*g2^17) + g1^19*g2^23*t^5.04 + g1^5*g2*t^5.07 + 2*g1^8*g2^8*t^5.37 + t^5.4/(g1^6*g2^14) + t^5.59/(g1^7*g2^3) + g1^11*g2^15*t^5.67 + t^5.7/(g1^3*g2^7) + (g1*t^5.8)/g2^11 + t^5.82/(g1^22*g2^14) + g1^14*g2^22*t^5.97 - 2*t^6. + g1^18*g2^18*t^6.08 + g1^36*g2^36*t^6.15 + 2*g1^22*g2^14*t^6.18 + (2*g1^8*t^6.21)/g2^8 + t^6.24/(g1^6*g2^30) + 2*g1^3*g2^7*t^6.3 + g1^7*g2^3*t^6.41 + t^6.43/(g1^7*g2^19) + t^6.53/(g1^12*g2^4) + g1^6*g2^14*t^6.6 + t^6.63/(g1^8*g2^8) + t^6.66/(g1^22*g2^30) + g1^10*g2^10*t^6.71 + g1^28*g2^28*t^6.79 + 2*g1^14*g2^6*t^6.81 + t^6.84/g2^16 + t^6.93/(g1^5*g2) + g1^13*g2^17*t^7.01 + (2*t^7.04)/(g1*g2^5) + t^7.07/(g1^15*g2^27) + g1^31*g2^35*t^7.09 + g1^17*g2^13*t^7.12 + (g1^3*t^7.14)/g2^9 + t^7.16/(g1^20*g2^12) + t^7.26/(g1^16*g2^16) + 2*g1^20*g2^20*t^7.42 + (2*g1^6*t^7.45)/g2^2 + t^7.47/(g1^8*g2^24) + t^7.49/(g1^31*g2^27) + g1^5*g2^9*t^7.64 + g1^23*g2^27*t^7.72 + 2*g1^9*g2^5*t^7.75 + t^7.78/(g1^5*g2^17) + g1^13*g2*t^7.85 + t^7.87/(g1^10*g2^2) + t^7.88/(g1*g2^21) + t^7.9/(g1^24*g2^24) + g1^26*g2^34*t^8.02 - (2*t^8.08)/(g1^2*g2^10) + g1^30*g2^30*t^8.13 + g1^16*g2^8*t^8.16 + g1^48*g2^48*t^8.21 + 2*g1^34*g2^26*t^8.23 + 3*g1^20*g2^4*t^8.26 + (2*g1^6*t^8.29)/g2^18 + t^8.32/(g1^8*g2^40) + 2*g1^15*g2^19*t^8.35 + (g1*t^8.38)/g2^3 + (2*g1^5*t^8.49)/g2^7 + t^8.5/(g1^18*g2^10) + t^8.51/(g1^9*g2^29) + t^8.61/(g1^14*g2^14) + g1^18*g2^26*t^8.66 - g1^4*g2^4*t^8.68 + (2*t^8.71)/(g1^10*g2^18) + t^8.73/(g1^33*g2^21) + t^8.74/(g1^24*g2^40) + g1^22*g2^22*t^8.76 + t^8.83/(g1^29*g2^25) + g1^40*g2^40*t^8.84 + 2*g1^26*g2^18*t^8.87 + (2*g1^12*t^8.89)/g2^4 - (3*t^8.91)/(g1^11*g2^7) + t^8.92/(g1^2*g2^26) + t^8.94/(g1^25*g2^29) + g1^21*g2^33*t^8.96 - g1^7*g2^11*t^8.99 - (g1^2*g2^2*t^4.34)/y - (g1^14*g2^14*t^6.39)/y - t^6.42/(g2^8*y) + (g1^10*g2^2*t^7.13)/y - (g1^9*g2^13*t^7.33)/y + t^7.36/(g1^5*g2^9*y) + (g1^16*g2^16*t^7.74)/y + (g1^2*t^7.76)/(g2^6*y) + (g1*g2^5*t^7.96)/y + t^7.99/(g1^13*g2^17*y) + (g1^19*g2^23*t^8.04)/y + (g1^5*g2*t^8.07)/y + (g1^4*g2^12*t^8.26)/y + t^8.29/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.37)/y + t^8.4/(g1^6*g2^14*y) - (g1^26*g2^26*t^8.44)/y - (g1^12*g2^4*t^8.47)/y - t^8.5/(g1^2*g2^18*y) + t^8.59/(g1^7*g2^3*y) + (2*g1^11*g2^15*t^8.67)/y + t^8.7/(g1^3*g2^7*y) + (g1^15*g2^11*t^8.77)/y + (g1*t^8.8)/(g2^11*y) + (g2^4*t^8.9)/(g1^4*y) - g1^2*g2^2*t^4.34*y - g1^14*g2^14*t^6.39*y - (t^6.42*y)/g2^8 + g1^10*g2^2*t^7.13*y - g1^9*g2^13*t^7.33*y + (t^7.36*y)/(g1^5*g2^9) + g1^16*g2^16*t^7.74*y + (g1^2*t^7.76*y)/g2^6 + g1*g2^5*t^7.96*y + (t^7.99*y)/(g1^13*g2^17) + g1^19*g2^23*t^8.04*y + g1^5*g2*t^8.07*y + g1^4*g2^12*t^8.26*y + (t^8.29*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.37*y + (t^8.4*y)/(g1^6*g2^14) - g1^26*g2^26*t^8.44*y - g1^12*g2^4*t^8.47*y - (t^8.5*y)/(g1^2*g2^18) + (t^8.59*y)/(g1^7*g2^3) + 2*g1^11*g2^15*t^8.67*y + (t^8.7*y)/(g1^3*g2^7) + g1^15*g2^11*t^8.77*y + (g1*t^8.8*y)/g2^11 + (g2^4*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 551 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ | 0.7014 | 0.8808 | 0.7963 | [X:[], M:[0.6704, 1.1099, 0.9866, 0.6972, 0.8901], q:[0.7775, 0.5521], qb:[0.4613, 0.4288], phi:[0.4451]] | t^2.01 + t^2.09 + 2*t^2.67 + t^2.94 + t^2.96 + t^3.62 + t^3.72 + t^4.01 + t^4.02 + 2*t^4.1 + t^4.18 + t^4.28 + t^4.38 + t^4.65 + 2*t^4.68 + 2*t^4.76 + t^4.95 + t^4.97 + t^5.03 + t^5.05 + 3*t^5.34 + 2*t^5.61 + 2*t^5.63 + t^5.71 + t^5.81 + t^5.89 + t^5.92 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 553 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ | 0.5854 | 0.7449 | 0.7859 | [X:[], M:[0.6895, 1.1035, 0.793, 1.1035], q:[0.7759, 0.5346], qb:[0.6724, 0.2241], phi:[0.4483]] | t^2.07 + t^2.28 + t^2.38 + t^2.69 + t^3. + 2*t^3.31 + t^3.62 + t^4.03 + t^4.14 + 2*t^4.34 + t^4.45 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + t^5.07 + t^5.28 + 5*t^5.38 + t^5.59 + 3*t^5.69 + t^5.9 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 1813 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ | 0.6903 | 0.8614 | 0.8014 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.04 + t^2.21 + t^2.68 + t^2.85 + t^2.92 + t^3.32 + t^3.55 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.59 + t^4.72 + 2*t^4.89 + t^4.96 + t^5.06 + t^5.13 + 2*t^5.36 + 2*t^5.53 + t^5.6 + t^5.7 + t^5.77 + t^5.83 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 549 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 552 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.6823 | 0.8482 | 0.8043 | [X:[], M:[0.6974, 1.1009, 1.0043, 0.6888, 1.1009], q:[0.7752, 0.5274], qb:[0.4683, 0.4308], phi:[0.4496]] | t^2.07 + t^2.09 + t^2.87 + t^3.01 + 2*t^3.3 + t^3.62 + t^3.73 + t^4.05 + t^4.13 + 2*t^4.16 + t^4.18 + t^4.22 + t^4.34 + t^4.51 + t^4.94 + t^4.97 + t^5.08 + t^5.1 + 2*t^5.37 + 2*t^5.39 + t^5.68 + t^5.75 + t^5.8 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 1812 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.7088 | 0.8952 | 0.7917 | [X:[], M:[0.6835, 1.1055, 1.0045, 0.6745, 0.7845], q:[0.7764, 0.5401], qb:[0.4554, 0.4391], phi:[0.4473]] | t^2.02 + t^2.05 + t^2.35 + t^2.68 + t^2.94 + t^3.01 + t^3.32 + t^3.7 + t^4.03 + t^4.05 + 2*t^4.07 + t^4.1 + t^4.28 + t^4.33 + t^4.38 + t^4.4 + t^4.58 + 2*t^4.71 + t^4.73 + t^4.96 + t^4.99 + 2*t^5.04 + t^5.06 + t^5.29 + t^5.34 + 3*t^5.37 + t^5.62 + t^5.67 + t^5.72 + t^5.88 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 219 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ | 0.6711 | 0.825 | 0.8135 | [X:[], M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.04 + t^2.68 + t^2.89 + t^2.96 + t^3.32 + t^3.59 + t^3.75 + t^3.87 + t^4.02 + t^4.08 + t^4.17 + t^4.23 + t^4.38 + t^4.6 + t^4.72 + t^4.94 + t^5. + 2*t^5.36 + t^5.57 + t^5.64 + t^5.79 + 2*t^5.91 - 2*t^6. - t^4.34/y - t^4.34*y | detail |