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 |
|---|---|---|---|---|---|---|---|---|---|
| 55183 | 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$ + $ 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]] | [X:[], M:[[6], [0], [-2], [4], [0], [2]], q:[[-1], [-5]], qb:[[1], [1]], phi:[[1]]] | 1 |
| 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}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1q_2^2$, $ M_1M_2$, $ M_1M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_4M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$ | $M_2M_5$, $ M_4q_2\tilde{q}_1$ | -2 | 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. - 2*t^6.54 + 3*t^6.69 + t^6.72 + 3*t^6.87 + 8*t^7.05 + 9*t^7.23 + t^7.38 + t^7.56 + 4*t^7.59 + 3*t^7.74 + 2*t^7.77 + 3*t^7.92 - 2*t^7.95 + 5*t^8.1 + 2*t^8.13 + 3*t^8.28 + t^8.31 + 5*t^8.46 - t^8.49 + 4*t^8.64 + t^8.67 - 7*t^8.82 - t^4.41/y - t^6.87/y - t^7.05/y - t^7.23/y + t^7.59/y + t^7.77/y + t^7.95/y + t^8.1/y + (2*t^8.28)/y + (4*t^8.46)/y + (3*t^8.64)/y + (5*t^8.82)/y - t^4.41*y - t^6.87*y - t^7.05*y - t^7.23*y + t^7.59*y + t^7.77*y + t^7.95*y + t^8.1*y + 2*t^8.28*y + 4*t^8.46*y + 3*t^8.64*y + 5*t^8.82*y | g1^6*t^2.46 + g1^4*t^2.64 + 2*g1^2*t^2.82 + 2*t^3. + t^3.36/g1^4 + 3*g1^3*t^4.23 + 2*g1*t^4.41 + t^4.59/g1 + (2*t^4.77)/g1^3 + g1^12*t^4.92 + t^4.95/g1^5 + g1^10*t^5.1 + 3*g1^8*t^5.28 + t^5.31/g1^9 + 2*g1^6*t^5.46 + 4*g1^4*t^5.64 + 3*g1^2*t^5.82 - 2*t^6. - (2*t^6.54)/g1^6 + 3*g1^9*t^6.69 + t^6.72/g1^8 + 3*g1^7*t^6.87 + 8*g1^5*t^7.05 + 9*g1^3*t^7.23 + g1^18*t^7.38 + g1^16*t^7.56 + (4*t^7.59)/g1 + 3*g1^14*t^7.74 + (2*t^7.77)/g1^3 + 3*g1^12*t^7.92 - (2*t^7.95)/g1^5 + 5*g1^10*t^8.1 + (2*t^8.13)/g1^7 + 3*g1^8*t^8.28 + t^8.31/g1^9 + 5*g1^6*t^8.46 - t^8.49/g1^11 + 4*g1^4*t^8.64 + t^8.67/g1^13 - 7*g1^2*t^8.82 - (g1*t^4.41)/y - (g1^7*t^6.87)/y - (g1^5*t^7.05)/y - (g1^3*t^7.23)/y + t^7.59/(g1*y) + t^7.77/(g1^3*y) + t^7.95/(g1^5*y) + (g1^10*t^8.1)/y + (2*g1^8*t^8.28)/y + (4*g1^6*t^8.46)/y + (3*g1^4*t^8.64)/y + (5*g1^2*t^8.82)/y - g1*t^4.41*y - g1^7*t^6.87*y - g1^5*t^7.05*y - g1^3*t^7.23*y + (t^7.59*y)/g1 + (t^7.77*y)/g1^3 + (t^7.95*y)/g1^5 + g1^10*t^8.1*y + 2*g1^8*t^8.28*y + 4*g1^6*t^8.46*y + 3*g1^4*t^8.64*y + 5*g1^2*t^8.82*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56842 | $M_1q_1q_2$ + $ 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$ + $ M_1M_7$ | 0.7011 | 0.856 | 0.819 | [X:[], M:[0.8764, 1.0, 1.0412, 0.9176, 1.0, 0.9588, 1.1236], q:[0.5206, 0.603], qb:[0.4794, 0.4794], phi:[0.4794]] | t^2.75 + 2*t^2.88 + 2*t^3. + t^3.25 + t^3.37 + 3*t^4.31 + 2*t^4.44 + t^4.56 + 2*t^4.69 + t^4.81 + t^5.06 + t^5.51 + 4*t^5.75 + 2*t^5.88 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.4/y - t^4.4*y | detail |