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 |
|---|---|---|---|---|---|---|---|---|---|
| 3066 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6065 | 0.7781 | 0.7795 | [X:[], M:[1.0, 1.0179, 0.9643, 1.2545, 0.7098, 0.7455, 1.0179], q:[0.2455, 0.7545], qb:[0.5, 0.5357], phi:[0.4911]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_5$, $ M_3M_6$, $ M_2M_5$, $ M_5M_7$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ M_2M_3$, $ M_3M_7$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -2 | t^2.13 + t^2.24 + t^2.34 + t^2.89 + t^3. + 2*t^3.05 + t^3.71 + t^3.76 + t^3.82 + t^4.26 + t^4.37 + 3*t^4.47 + 2*t^4.58 + 2*t^4.69 + t^5.02 + t^5.13 + 2*t^5.18 + t^5.24 + 2*t^5.29 + t^5.34 + 2*t^5.4 + t^5.79 + t^5.84 + t^5.89 + 3*t^5.95 - 2*t^6. + 3*t^6.05 + 2*t^6.11 + t^6.16 + t^6.39 + t^6.5 + 3*t^6.6 + 3*t^6.71 + 5*t^6.82 + 2*t^6.92 + 2*t^7.03 + t^7.15 + t^7.26 + 2*t^7.31 + t^7.37 + 2*t^7.42 + t^7.47 + 4*t^7.53 + t^7.58 + 3*t^7.63 + t^7.69 + 3*t^7.74 + t^7.91 + t^7.97 + t^8.02 + 3*t^8.08 - 3*t^8.13 + 4*t^8.18 - t^8.24 + 3*t^8.29 - 2*t^8.34 + 3*t^8.4 + 2*t^8.45 + 2*t^8.5 + t^8.52 + t^8.62 + t^8.68 + 3*t^8.73 + t^8.79 + 4*t^8.84 - 3*t^8.89 + 5*t^8.95 - t^4.47/y - t^6.6/y + t^7.42/y + t^7.47/y - t^7.53/y + (2*t^7.58)/y + t^8.02/y + (2*t^8.13)/y + (2*t^8.18)/y + (2*t^8.24)/y + (2*t^8.29)/y + (2*t^8.34)/y + (2*t^8.4)/y - t^8.73/y + t^8.84/y + (2*t^8.89)/y + (4*t^8.95)/y - t^4.47*y - t^6.6*y + t^7.42*y + t^7.47*y - t^7.53*y + 2*t^7.58*y + t^8.02*y + 2*t^8.13*y + 2*t^8.18*y + 2*t^8.24*y + 2*t^8.29*y + 2*t^8.34*y + 2*t^8.4*y - t^8.73*y + t^8.84*y + 2*t^8.89*y + 4*t^8.95*y | t^2.13/g1^9 + t^2.24/g1 + g1^7*t^2.34 + t^2.89/g1^8 + t^3. + 2*g1^4*t^3.05 + t^3.71/g1^3 + g1*t^3.76 + g1^5*t^3.82 + t^4.26/g1^18 + t^4.37/g1^10 + (3*t^4.47)/g1^2 + 2*g1^6*t^4.58 + 2*g1^14*t^4.69 + t^5.02/g1^17 + t^5.13/g1^9 + (2*t^5.18)/g1^5 + t^5.24/g1 + 2*g1^3*t^5.29 + g1^7*t^5.34 + 2*g1^11*t^5.4 + t^5.79/g1^16 + t^5.84/g1^12 + t^5.89/g1^8 + (3*t^5.95)/g1^4 - 2*t^6. + 3*g1^4*t^6.05 + 2*g1^8*t^6.11 + g1^12*t^6.16 + t^6.39/g1^27 + t^6.5/g1^19 + (3*t^6.6)/g1^11 + (3*t^6.71)/g1^3 + 5*g1^5*t^6.82 + 2*g1^13*t^6.92 + 2*g1^21*t^7.03 + t^7.15/g1^26 + t^7.26/g1^18 + (2*t^7.31)/g1^14 + t^7.37/g1^10 + (2*t^7.42)/g1^6 + t^7.47/g1^2 + 4*g1^2*t^7.53 + g1^6*t^7.58 + 3*g1^10*t^7.63 + g1^14*t^7.69 + 3*g1^18*t^7.74 + t^7.91/g1^25 + t^7.97/g1^21 + t^8.02/g1^17 + (3*t^8.08)/g1^13 - (3*t^8.13)/g1^9 + (4*t^8.18)/g1^5 - t^8.24/g1 + 3*g1^3*t^8.29 - 2*g1^7*t^8.34 + 3*g1^11*t^8.4 + 2*g1^15*t^8.45 + 2*g1^19*t^8.5 + t^8.52/g1^36 + t^8.62/g1^28 + t^8.68/g1^24 + (3*t^8.73)/g1^20 + t^8.79/g1^16 + (4*t^8.84)/g1^12 - (3*t^8.89)/g1^8 + (5*t^8.95)/g1^4 - t^4.47/(g1^2*y) - t^6.6/(g1^11*y) + t^7.42/(g1^6*y) + t^7.47/(g1^2*y) - (g1^2*t^7.53)/y + (2*g1^6*t^7.58)/y + t^8.02/(g1^17*y) + (2*t^8.13)/(g1^9*y) + (2*t^8.18)/(g1^5*y) + (2*t^8.24)/(g1*y) + (2*g1^3*t^8.29)/y + (2*g1^7*t^8.34)/y + (2*g1^11*t^8.4)/y - t^8.73/(g1^20*y) + t^8.84/(g1^12*y) + (2*t^8.89)/(g1^8*y) + (4*t^8.95)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.6*y)/g1^11 + (t^7.42*y)/g1^6 + (t^7.47*y)/g1^2 - g1^2*t^7.53*y + 2*g1^6*t^7.58*y + (t^8.02*y)/g1^17 + (2*t^8.13*y)/g1^9 + (2*t^8.18*y)/g1^5 + (2*t^8.24*y)/g1 + 2*g1^3*t^8.29*y + 2*g1^7*t^8.34*y + 2*g1^11*t^8.4*y - (t^8.73*y)/g1^20 + (t^8.84*y)/g1^12 + (2*t^8.89*y)/g1^8 + (4*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 4970 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.6265 | 0.8153 | 0.7684 | [X:[], M:[1.0, 1.0216, 0.9569, 1.2554, 0.7015, 0.7446, 1.0216, 0.723], q:[0.2446, 0.7554], qb:[0.5, 0.5431], phi:[0.4892]] | t^2.1 + t^2.17 + t^2.23 + t^2.36 + t^2.87 + t^3. + 2*t^3.06 + t^3.7 + t^3.77 + t^4.21 + t^4.27 + 2*t^4.34 + t^4.4 + 3*t^4.47 + t^4.53 + 2*t^4.6 + 2*t^4.73 + t^4.97 + t^5.04 + t^5.1 + 3*t^5.17 + 3*t^5.23 + 2*t^5.3 + t^5.36 + 2*t^5.43 + t^5.74 + t^5.81 + 2*t^5.87 + 3*t^5.94 - 2*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |