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 |
|---|---|---|---|---|---|---|---|---|---|
| 2999 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.5908, 1.3633], M:[1.0, 0.6367, 0.4092, 1.2275, 0.7725, 0.6825], q:[0.6817, 0.3183], qb:[0.9092, 0.4541], phi:[0.4092]] | [X:[[1], [4]], M:[[0], [-4], [-1], [-3], [3], [-9]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4$, $ X_2$, $ M_6^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_6\phi_1q_2^2$, $ M_1M_5$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_2$ | 0 | t^2.05 + t^2.32 + t^2.46 + t^3. + t^3.14 + t^3.41 + t^3.54 + t^3.68 + t^4.09 + t^4.1 + t^4.37 + t^4.5 + t^4.63 + 2*t^4.77 + t^4.91 + t^5.05 + t^5.19 + t^5.32 + 2*t^5.46 + t^5.59 + t^5.72 + t^5.73 + t^5.86 + 3*t^6.14 + t^6.28 + 2*t^6.41 + t^6.54 + t^6.55 + t^6.68 + t^6.81 + 2*t^6.82 + t^6.95 + t^6.96 + t^7.09 + t^7.1 + 2*t^7.23 + 2*t^7.37 + 2*t^7.5 + t^7.64 + 2*t^7.77 + t^7.78 + t^7.91 + t^8.04 + 2*t^8.18 + 3*t^8.19 + 2*t^8.46 + t^8.59 + t^8.6 + t^8.73 + 2*t^8.87 - t^4.23/y - t^6.28/y - t^6.68/y + t^7.37/y + t^7.5/y + (2*t^7.77)/y + t^8.05/y + t^8.18/y + t^8.19/y + (3*t^8.46)/y + (2*t^8.59)/y + t^8.72/y + (2*t^8.86)/y - t^4.23*y - t^6.28*y - t^6.68*y + t^7.37*y + t^7.5*y + 2*t^7.77*y + t^8.05*y + t^8.18*y + t^8.19*y + 3*t^8.46*y + 2*t^8.59*y + t^8.72*y + 2*t^8.86*y | t^2.05/g1^9 + g1^3*t^2.32 + t^2.46/g1^2 + t^3. + t^3.14/g1^5 + g1^7*t^3.41 + g1^2*t^3.54 + t^3.68/g1^3 + g1^4*t^4.09 + t^4.1/g1^18 + t^4.37/g1^6 + t^4.5/g1^11 + g1^6*t^4.63 + 2*g1*t^4.77 + t^4.91/g1^4 + t^5.05/g1^9 + t^5.19/g1^14 + g1^3*t^5.32 + (2*t^5.46)/g1^2 + t^5.59/g1^7 + g1^10*t^5.72 + t^5.73/g1^12 + g1^5*t^5.86 + t^6.14/g1^27 + (2*t^6.14)/g1^5 + t^6.28/g1^10 + t^6.41/g1^15 + g1^7*t^6.41 + g1^2*t^6.54 + t^6.55/g1^20 + t^6.68/g1^3 + g1^14*t^6.81 + (2*t^6.82)/g1^8 + g1^9*t^6.95 + t^6.96/g1^13 + g1^4*t^7.09 + t^7.1/g1^18 + t^7.23/g1^23 + t^7.23/g1 + (2*t^7.37)/g1^6 + (2*t^7.5)/g1^11 + t^7.64/g1^16 + 2*g1*t^7.77 + t^7.78/g1^21 + t^7.91/g1^4 + g1^13*t^8.04 + 2*g1^8*t^8.18 + t^8.19/g1^36 + (2*t^8.19)/g1^14 + t^8.32/g1^19 - g1^3*t^8.32 + t^8.46/g1^24 + t^8.46/g1^2 + t^8.59/g1^7 + t^8.6/g1^29 + t^8.73/g1^12 + (2*t^8.87)/g1^17 - t^4.23/(g1*y) - t^6.28/(g1^10*y) - t^6.68/(g1^3*y) + t^7.37/(g1^6*y) + t^7.5/(g1^11*y) + (2*g1*t^7.77)/y + t^8.05/(g1^9*y) + (g1^8*t^8.18)/y + t^8.19/(g1^14*y) - t^8.32/(g1^19*y) + (g1^3*t^8.32)/y + (3*t^8.46)/(g1^2*y) + (2*t^8.59)/(g1^7*y) + (g1^10*t^8.72)/y + (2*g1^5*t^8.86)/y - (t^4.23*y)/g1 - (t^6.28*y)/g1^10 - (t^6.68*y)/g1^3 + (t^7.37*y)/g1^6 + (t^7.5*y)/g1^11 + 2*g1*t^7.77*y + (t^8.05*y)/g1^9 + g1^8*t^8.18*y + (t^8.19*y)/g1^14 - (t^8.32*y)/g1^19 + g1^3*t^8.32*y + (3*t^8.46*y)/g1^2 + (2*t^8.59*y)/g1^7 + g1^10*t^8.72*y + 2*g1^5*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 3626 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6095 | 0.769 | 0.7926 | [X:[1.592, 1.3682], M:[1.0, 0.6318, 0.408, 1.2239, 0.7761, 0.6716, 0.8159], q:[0.6841, 0.3159], qb:[0.908, 0.4602], phi:[0.408]] | t^2.01 + t^2.33 + 2*t^2.45 + t^3. + t^3.12 + t^3.43 + t^3.67 + t^4.03 + t^4.1 + t^4.34 + 2*t^4.46 + t^4.66 + 3*t^4.78 + 3*t^4.9 + t^5.01 + t^5.13 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.69 + t^5.76 + t^5.88 - t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1952 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]] | t^2.31 + t^2.46 + t^3. + t^3.16 + t^3.38 + t^3.54 + t^3.69 + t^3.92 + t^4.08 + t^4.61 + 2*t^4.77 + t^4.92 + t^5.31 + t^5.46 + t^5.69 + t^5.84 - t^4.23/y - t^4.23*y | detail |