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 |
|---|---|---|---|---|---|---|---|---|---|
| 4131 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ + $ M_8q_1\tilde{q}_1$ | 0.686 | 0.8645 | 0.7935 | [X:[], M:[0.9753, 1.0845, 1.1443, 0.8557, 0.6866, 1.0845, 0.8557, 0.7464], q:[0.7711, 0.5423], qb:[0.4824, 0.3732], phi:[0.4577]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-4], [-5], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_8$, $ M_4$, $ M_7$, $ M_1$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_8^2$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_4M_8$, $ M_7M_8$, $ M_1M_5$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_8$, $ M_2M_5$, $ M_5M_6$, $ M_1M_4$, $ M_1M_7$, $ M_2M_8$, $ M_6M_8$, $ M_2M_4$, $ M_4M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1^2$, $ M_8\phi_1\tilde{q}_2^2$ | $M_5q_1q_2$ | -2 | t^2.06 + t^2.24 + 2*t^2.57 + t^2.93 + 2*t^3.25 + t^3.61 + t^3.94 + 2*t^4.12 + t^4.27 + t^4.3 + t^4.45 + t^4.48 + 3*t^4.63 + 2*t^4.81 + t^4.99 + 3*t^5.13 + t^5.17 + 2*t^5.31 + 3*t^5.49 + 3*t^5.82 + 2*t^5.85 - 2*t^6. + 5*t^6.18 + 2*t^6.36 + 4*t^6.51 + 2*t^6.54 + 3*t^6.69 + t^6.72 + 2*t^6.83 + 3*t^6.87 + t^7.01 + 3*t^7.05 + 4*t^7.19 + 2*t^7.22 + 4*t^7.37 + t^7.4 + t^7.52 + 3*t^7.55 + 3*t^7.7 + 4*t^7.73 + 2*t^7.88 + t^7.91 + t^8.06 + 2*t^8.09 + t^8.24 + 3*t^8.39 + 6*t^8.42 + t^8.54 - 3*t^8.57 + 2*t^8.6 + t^8.72 + 8*t^8.75 + 3*t^8.78 + t^8.89 - t^8.93 + t^8.96 - t^4.37/y - t^6.43/y - t^6.61/y - t^6.94/y + t^7.12/y + t^7.45/y + t^7.63/y + (3*t^7.81)/y + t^7.99/y + (2*t^8.13)/y + t^8.17/y + (3*t^8.31)/y + (3*t^8.49)/y + (4*t^8.82)/y - t^4.37*y - t^6.43*y - t^6.61*y - t^6.94*y + t^7.12*y + t^7.45*y + t^7.63*y + 3*t^7.81*y + t^7.99*y + 2*t^8.13*y + t^8.17*y + 3*t^8.31*y + 3*t^8.49*y + 4*t^8.82*y | g1^3*t^2.06 + g1^12*t^2.24 + (2*t^2.57)/g1^5 + g1^13*t^2.93 + (2*t^3.25)/g1^4 + g1^14*t^3.61 + t^3.94/g1^3 + 2*g1^6*t^4.12 + t^4.27/g1^20 + g1^15*t^4.3 + t^4.45/g1^11 + g1^24*t^4.48 + (3*t^4.63)/g1^2 + 2*g1^7*t^4.81 + g1^16*t^4.99 + (3*t^5.13)/g1^10 + g1^25*t^5.17 + (2*t^5.31)/g1 + 3*g1^8*t^5.49 + (3*t^5.82)/g1^9 + 2*g1^26*t^5.85 - 2*t^6. + 5*g1^9*t^6.18 + 2*g1^18*t^6.36 + (4*t^6.51)/g1^8 + 2*g1^27*t^6.54 + 3*g1*t^6.69 + g1^36*t^6.72 + (2*t^6.83)/g1^25 + 3*g1^10*t^6.87 + t^7.01/g1^16 + 3*g1^19*t^7.05 + (4*t^7.19)/g1^7 + 2*g1^28*t^7.22 + 4*g1^2*t^7.37 + g1^37*t^7.4 + t^7.52/g1^24 + 3*g1^11*t^7.55 + (3*t^7.7)/g1^15 + 4*g1^20*t^7.73 + (2*t^7.88)/g1^6 + g1^29*t^7.91 + g1^3*t^8.06 + 2*g1^38*t^8.09 + g1^12*t^8.24 + (3*t^8.39)/g1^14 + 6*g1^21*t^8.42 + t^8.54/g1^40 - (3*t^8.57)/g1^5 + 2*g1^30*t^8.6 + t^8.72/g1^31 + 8*g1^4*t^8.75 + 3*g1^39*t^8.78 + t^8.89/g1^22 - g1^13*t^8.93 + g1^48*t^8.96 - (g1^2*t^4.37)/y - (g1^5*t^6.43)/y - (g1^14*t^6.61)/y - t^6.94/(g1^3*y) + (g1^6*t^7.12)/y + t^7.45/(g1^11*y) + t^7.63/(g1^2*y) + (3*g1^7*t^7.81)/y + (g1^16*t^7.99)/y + (2*t^8.13)/(g1^10*y) + (g1^25*t^8.17)/y + (3*t^8.31)/(g1*y) + (3*g1^8*t^8.49)/y + (4*t^8.82)/(g1^9*y) - g1^2*t^4.37*y - g1^5*t^6.43*y - g1^14*t^6.61*y - (t^6.94*y)/g1^3 + g1^6*t^7.12*y + (t^7.45*y)/g1^11 + (t^7.63*y)/g1^2 + 3*g1^7*t^7.81*y + g1^16*t^7.99*y + (2*t^8.13*y)/g1^10 + g1^25*t^8.17*y + (3*t^8.31*y)/g1 + 3*g1^8*t^8.49*y + (4*t^8.82*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5651 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ + $ M_8q_1\tilde{q}_1$ + $ M_1M_8$ | 0.663 | 0.838 | 0.7912 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.72, 1.04, 0.8, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 2*t^5.04 + 3*t^5.28 + 4*t^5.52 + 3*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 663/1000, c: 419/500, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 18/25, M6: 26/25, M7: 4/5, M8: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 5635 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ + $ M_8q_1\tilde{q}_1$ + $ M_9q_1q_2$ | 0.7067 | 0.9048 | 0.7811 | [X:[], M:[0.9742, 1.0849, 1.1439, 0.8561, 0.6864, 1.0849, 0.8561, 0.7454, 0.6864], q:[0.7712, 0.5424], qb:[0.4834, 0.3727], phi:[0.4576]] | 2*t^2.06 + t^2.24 + 2*t^2.57 + t^2.92 + 2*t^3.25 + t^3.61 + 4*t^4.12 + t^4.27 + 2*t^4.3 + t^4.45 + t^4.47 + 5*t^4.63 + 2*t^4.8 + 2*t^4.98 + 3*t^5.14 + t^5.16 + 4*t^5.31 + 3*t^5.49 + t^5.67 + 3*t^5.82 + 2*t^5.85 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6672 | 0.8304 | 0.8034 | [X:[], M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], phi:[0.4607]] | t^2.07 + 2*t^2.54 + t^2.98 + 2*t^3.24 + t^3.67 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + t^4.4 + 3*t^4.62 + t^5.06 + 3*t^5.09 + 2*t^5.31 + t^5.53 + 4*t^5.78 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail |