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 |
|---|---|---|---|---|---|---|---|---|---|
| 46855 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[0.8005, 0.9418, 1.0665, 0.9252, 1.0, 0.9335], q:[0.5624, 0.6372], qb:[0.4959, 0.4376], phi:[0.4667]] | [X:[], M:[[6, 6], [-2, 2], [-2, -2], [6, 2], [0, 0], [2, 2]], q:[[0, -2], [-6, -4]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1q_2^2$, $ M_1M_2$, $ M_4^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2^2$, $ M_5M_6$, $ M_5\phi_1^2$ | . | -3 | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. + t^6.2 - t^6.37 - t^6.42 + t^6.43 + t^6.78 + 2*t^6.8 + 2*t^6.83 + t^6.85 + t^6.98 + 2*t^7. + 2*t^7.03 + t^7.15 + 3*t^7.18 + 4*t^7.2 - t^7.23 + t^7.35 + 2*t^7.38 + 2*t^7.43 + t^7.45 + t^7.55 + t^7.57 + t^7.58 + 3*t^7.6 + t^7.62 + t^7.63 + t^7.77 + t^7.8 - t^7.82 + t^7.95 - t^7.97 + t^7.98 + 3*t^8. + 2*t^8.02 + t^8.03 + 3*t^8.05 + t^8.33 + t^8.35 + 2*t^8.38 + 2*t^8.4 - t^8.42 + 3*t^8.43 + t^8.45 + t^8.48 + 3*t^8.6 + t^8.62 - t^8.63 + t^8.65 + t^8.75 - 3*t^8.78 - 6*t^8.8 - 2*t^8.83 + t^8.95 - t^8.98 - t^4.4/y - t^6.8/y - t^7.18/y - t^7.2/y - t^7.23/y + t^7.57/y + t^7.6/y + t^7.62/y + t^8./y + t^8.18/y + (2*t^8.2)/y + t^8.23/y + t^8.4/y + (2*t^8.58)/y + (2*t^8.6)/y + (2*t^8.63)/y + t^8.78/y + (3*t^8.8)/y + t^8.83/y - t^4.4*y - t^6.8*y - t^7.18*y - t^7.2*y - t^7.23*y + t^7.57*y + t^7.6*y + t^7.62*y + t^8.*y + t^8.18*y + 2*t^8.2*y + t^8.23*y + t^8.4*y + 2*t^8.58*y + 2*t^8.6*y + 2*t^8.63*y + t^8.78*y + 3*t^8.8*y + t^8.83*y | g1^6*g2^6*t^2.4 + g1^6*g2^2*t^2.78 + 2*g1^2*g2^2*t^2.8 + (g2^2*t^2.83)/g1^2 + t^3. + t^3.4/(g1^4*g2^4) + g1*g2^5*t^4.03 + g1^3*g2^3*t^4.2 + g1^5*g2*t^4.38 + g1*g2*t^4.4 + (g1^3*t^4.57)/g2 + t^4.62/(g1^5*g2) + (g1*t^4.77)/g2^3 + t^4.8/(g1^3*g2^3) + g1^12*g2^12*t^4.8 + t^5./(g1^5*g2^5) + g1^12*g2^8*t^5.18 + 2*g1^8*g2^8*t^5.2 + t^5.22/(g1^11*g2^7) + g1^4*g2^8*t^5.23 + g1^12*g2^4*t^5.55 + g1^8*g2^4*t^5.58 + 4*g1^4*g2^4*t^5.6 + g2^4*t^5.63 + (g2^4*t^5.65)/g1^4 + 2*g1^2*g2^2*t^5.8 - 3*t^6. + t^6.2/(g1^2*g2^2) - t^6.37/g2^4 - t^6.42/(g1^8*g2^4) + g1^7*g2^11*t^6.43 - t^6.6/(g1^6*g2^6) + g1^9*g2^9*t^6.6 + g1^11*g2^7*t^6.78 + t^6.8/(g1^8*g2^8) + g1^7*g2^7*t^6.8 + 2*g1^3*g2^7*t^6.83 + (g2^7*t^6.85)/g1 + g1^9*g2^5*t^6.98 + 2*g1^5*g2^5*t^7. + 2*g1*g2^5*t^7.03 + g1^11*g2^3*t^7.15 + 3*g1^7*g2^3*t^7.18 + 3*g1^3*g2^3*t^7.2 + g1^18*g2^18*t^7.2 - (g2^3*t^7.23)/g1 + g1^9*g2*t^7.35 + 2*g1^5*g2*t^7.38 + (2*g2*t^7.43)/g1^3 + (g2*t^7.45)/g1^7 + (g1^7*t^7.55)/g2 + (g1^3*t^7.57)/g2 + g1^18*g2^14*t^7.58 + t^7.6/(g1*g2) + 2*g1^14*g2^14*t^7.6 + t^7.62/(g1^5*g2) + g1^10*g2^14*t^7.63 + (g1*t^7.77)/g2^3 + t^7.8/(g1^3*g2^3) - t^7.82/(g1^7*g2^3) + g1^18*g2^10*t^7.95 - t^7.97/(g1*g2^5) + g1^14*g2^10*t^7.98 - t^8./(g1^5*g2^5) + 4*g1^10*g2^10*t^8. + (2*t^8.02)/(g1^9*g2^5) + g1^6*g2^10*t^8.03 + t^8.05/(g1^13*g2^5) + 2*g1^2*g2^10*t^8.05 + g1^18*g2^6*t^8.33 + g1^14*g2^6*t^8.35 + 2*g1^10*g2^6*t^8.38 + 2*g1^6*g2^6*t^8.4 - t^8.42/(g1^13*g2^9) + 3*g1^2*g2^6*t^8.43 + (g2^6*t^8.45)/g1^2 + (g2^6*t^8.48)/g1^6 + 3*g1^4*g2^4*t^8.6 + t^8.62/(g1^15*g2^11) - g2^4*t^8.63 + (g2^4*t^8.65)/g1^4 + g1^10*g2^2*t^8.75 - 3*g1^6*g2^2*t^8.78 - 6*g1^2*g2^2*t^8.8 - (3*g2^2*t^8.83)/g1^2 + g1^13*g2^17*t^8.83 + g1^8*t^8.95 - g1^4*t^8.98 - (g1*g2*t^4.4)/y - (g1^7*g2^7*t^6.8)/y - (g1^7*g2^3*t^7.18)/y - (g1^3*g2^3*t^7.2)/y - (g2^3*t^7.23)/(g1*y) + (g1^3*t^7.57)/(g2*y) + t^7.6/(g1*g2*y) + t^7.62/(g1^5*g2*y) + t^8./(g1^5*g2^5*y) + (g1^12*g2^8*t^8.18)/y + (2*g1^8*g2^8*t^8.2)/y + (g1^4*g2^8*t^8.23)/y + (g1^6*g2^6*t^8.4)/y + (2*g1^8*g2^4*t^8.58)/y + (2*g1^4*g2^4*t^8.6)/y + (2*g2^4*t^8.63)/y + (g1^6*g2^2*t^8.78)/y + (3*g1^2*g2^2*t^8.8)/y + (g2^2*t^8.83)/(g1^2*y) - g1*g2*t^4.4*y - g1^7*g2^7*t^6.8*y - g1^7*g2^3*t^7.18*y - g1^3*g2^3*t^7.2*y - (g2^3*t^7.23*y)/g1 + (g1^3*t^7.57*y)/g2 + (t^7.6*y)/(g1*g2) + (t^7.62*y)/(g1^5*g2) + (t^8.*y)/(g1^5*g2^5) + g1^12*g2^8*t^8.18*y + 2*g1^8*g2^8*t^8.2*y + g1^4*g2^8*t^8.23*y + g1^6*g2^6*t^8.4*y + 2*g1^8*g2^4*t^8.58*y + 2*g1^4*g2^4*t^8.6*y + 2*g2^4*t^8.63*y + g1^6*g2^2*t^8.78*y + 3*g1^2*g2^2*t^8.8*y + (g2^2*t^8.83*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55266 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_1M_2$ | 0.6991 | 0.8584 | 0.8143 | [X:[], M:[0.9398, 1.0602, 1.0201, 0.8997, 1.0, 0.9799], q:[0.4799, 0.5802], qb:[0.4599, 0.5201], phi:[0.49]] | t^2.7 + t^2.82 + 2*t^2.94 + t^3. + t^3.12 + t^3.18 + t^4.23 + t^4.29 + t^4.35 + t^4.41 + t^4.47 + 2*t^4.59 + t^4.65 + t^4.77 + t^4.95 + t^5.4 + t^5.52 + 2*t^5.64 + 2*t^5.76 + 3*t^5.88 + 2*t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55330 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_1M_4$ | 0.6989 | 0.8581 | 0.8144 | [X:[], M:[0.9422, 0.9037, 1.0193, 1.0578, 1.0, 0.9807], q:[0.5578, 0.5], qb:[0.5385, 0.4422], phi:[0.4904]] | t^2.71 + t^2.83 + 2*t^2.94 + t^3. + t^3.12 + t^3.17 + t^4.12 + t^4.3 + t^4.41 + 2*t^4.47 + t^4.59 + t^4.64 + t^4.7 + t^4.76 + t^4.82 + t^5.42 + t^5.54 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 + 2*t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55362 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_2M_6$ | 0.7079 | 0.871 | 0.8128 | [X:[], M:[0.8699, 1.0434, 1.0434, 0.8699, 1.0, 0.9566], q:[0.5, 0.6301], qb:[0.4566, 0.5], phi:[0.4783]] | 2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.17 + 2*t^4.3 + 3*t^4.43 + t^4.7 + 2*t^4.83 + 4*t^5.22 + 3*t^5.48 + 5*t^5.74 + 2*t^5.87 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55183 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_2^2$ | 0.7144 | 0.8801 | 0.8118 | [X:[], M:[0.8196, 1.0, 1.0601, 0.8797, 1.0, 0.9399], q:[0.5301, 0.6503], qb:[0.4699, 0.4699], phi:[0.4699]] | t^2.46 + t^2.64 + 2*t^2.82 + 2*t^3. + t^3.36 + 3*t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.92 + t^4.95 + t^5.1 + 3*t^5.28 + t^5.31 + 2*t^5.46 + 4*t^5.64 + 3*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 55373 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ + $ M_3M_6$ + $ M_4\phi_1^2$ | 0.707 | 0.8694 | 0.8131 | [X:[], M:[0.8808, 0.8808, 1.0397, 1.0397, 1.0, 0.9603], q:[0.5795, 0.5397], qb:[0.5397, 0.4205], phi:[0.4801]] | 2*t^2.64 + 2*t^2.88 + t^3. + t^3.12 + t^3.24 + t^3.96 + 2*t^4.32 + t^4.44 + 3*t^4.68 + 2*t^4.8 + t^4.92 + 3*t^5.28 + 3*t^5.52 + 5*t^5.76 + 2*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46505 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[0.8231, 0.9476, 1.059, 0.9345, 1.0], q:[0.5557, 0.6212], qb:[0.4967, 0.4443], phi:[0.4705]] | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |