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 |
|---|---|---|---|---|---|---|---|---|---|
| 5180 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6889 | 0.86 | 0.801 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375, 1.1063, 1.0282, 1.0498, 0.8156], q:[0.7766, 0.5424], qb:[0.4859, 0.4078], phi:[0.4468]] | [X:[], M:[[36], [-12], [22], [-8], [-12], [-22], [32], [2]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_8$, $ M_6$, $ M_7$, $ M_2$, $ M_5$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_8$, $ \phi_1q_2^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_7$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_1M_5$, $ M_4M_7$, $ M_2M_4$, $ M_4M_5$, $ M_6M_8$, $ M_2M_8$, $ M_5M_8$ | . | -2 | t^2.04 + t^2.21 + t^2.45 + t^3.08 + t^3.15 + 2*t^3.32 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.49 + t^4.59 + t^4.66 + t^4.89 + t^5.13 + t^5.19 + t^5.3 + 3*t^5.36 + 3*t^5.53 + t^5.77 - 2*t^6. + t^6.06 + t^6.13 + 2*t^6.23 + 3*t^6.3 + 2*t^6.4 + 5*t^6.47 + t^6.53 + 5*t^6.64 + t^6.7 + t^6.81 + t^6.87 + t^6.94 + t^7.04 + t^7.17 + t^7.24 + 3*t^7.34 + 4*t^7.41 + 2*t^7.51 + 5*t^7.57 + t^7.68 + 3*t^7.74 + t^7.81 + t^7.91 + t^7.98 - 2*t^8.04 + t^8.11 - t^8.15 + t^8.17 - 2*t^8.21 + 2*t^8.28 + 3*t^8.34 + 7*t^8.51 + t^8.58 + 2*t^8.62 + 8*t^8.68 + 2*t^8.75 + t^8.79 + 6*t^8.85 - t^4.34/y - t^6.38/y - t^6.55/y - t^6.79/y + t^7.02/y + t^7.19/y + t^7.26/y + t^7.89/y + (2*t^8.13)/y + t^8.19/y + (2*t^8.3)/y + (3*t^8.36)/y - t^8.43/y + (3*t^8.53)/y + t^8.77/y - t^4.34*y - t^6.38*y - t^6.55*y - t^6.79*y + t^7.02*y + t^7.19*y + t^7.26*y + t^7.89*y + 2*t^8.13*y + t^8.19*y + 2*t^8.3*y + 3*t^8.36*y - t^8.43*y + 3*t^8.53*y + t^8.77*y | g1^36*t^2.04 + t^2.21/g1^8 + g1^2*t^2.45 + t^3.08/g1^22 + g1^32*t^3.15 + (2*t^3.32)/g1^12 + g1^8*t^3.79 + g1^18*t^4.02 + g1^72*t^4.09 + t^4.19/g1^26 + 2*g1^28*t^4.26 + (2*t^4.43)/g1^16 + g1^38*t^4.49 + t^4.59/g1^60 + t^4.66/g1^6 + g1^4*t^4.89 + g1^14*t^5.13 + g1^68*t^5.19 + t^5.3/g1^30 + 3*g1^24*t^5.36 + (3*t^5.53)/g1^20 + t^5.77/g1^10 - 2*t^6. + g1^54*t^6.06 + g1^108*t^6.13 + 2*g1^10*t^6.23 + 3*g1^64*t^6.3 + (2*t^6.4)/g1^34 + 5*g1^20*t^6.47 + g1^74*t^6.53 + (5*t^6.64)/g1^24 + g1^30*t^6.7 + t^6.81/g1^68 + t^6.87/g1^14 + g1^40*t^6.94 + t^7.04/g1^58 + g1^50*t^7.17 + g1^104*t^7.24 + 3*g1^6*t^7.34 + 4*g1^60*t^7.41 + (2*t^7.51)/g1^38 + 5*g1^16*t^7.57 + t^7.68/g1^82 + (3*t^7.74)/g1^28 + g1^26*t^7.81 + t^7.91/g1^72 + t^7.98/g1^18 - 2*g1^36*t^8.04 + g1^90*t^8.11 - t^8.15/g1^62 + g1^144*t^8.17 - (2*t^8.21)/g1^8 + 2*g1^46*t^8.28 + 3*g1^100*t^8.34 + 7*g1^56*t^8.51 + g1^110*t^8.58 + (2*t^8.62)/g1^42 + 8*g1^12*t^8.68 + 2*g1^66*t^8.75 + t^8.79/g1^86 + (6*t^8.85)/g1^32 - (g1^6*t^4.34)/y - (g1^42*t^6.38)/y - t^6.55/(g1^2*y) - (g1^8*t^6.79)/y + (g1^18*t^7.02)/y + t^7.19/(g1^26*y) + (g1^28*t^7.26)/y + (g1^4*t^7.89)/y + (2*g1^14*t^8.13)/y + (g1^68*t^8.19)/y + (2*t^8.3)/(g1^30*y) + (3*g1^24*t^8.36)/y - (g1^78*t^8.43)/y + (3*t^8.53)/(g1^20*y) + t^8.77/(g1^10*y) - g1^6*t^4.34*y - g1^42*t^6.38*y - (t^6.55*y)/g1^2 - g1^8*t^6.79*y + g1^18*t^7.02*y + (t^7.19*y)/g1^26 + g1^28*t^7.26*y + g1^4*t^7.89*y + 2*g1^14*t^8.13*y + g1^68*t^8.19*y + (2*t^8.3*y)/g1^30 + 3*g1^24*t^8.36*y - g1^78*t^8.43*y + (3*t^8.53*y)/g1^20 + (t^8.77*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6736 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ + $ M_4M_9$ | 0.6694 | 0.8242 | 0.8122 | [X:[], M:[0.6771, 1.1076, 0.9693, 0.7384, 1.1076, 1.0307, 1.0463, 0.8154, 1.2616], q:[0.7769, 0.546], qb:[0.4847, 0.4077], phi:[0.4462]] | t^2.03 + t^2.45 + t^3.09 + t^3.14 + 2*t^3.32 + 2*t^3.78 + t^4.02 + t^4.06 + t^4.2 + t^4.25 + t^4.43 + t^4.48 + t^4.61 + t^4.89 + t^5.12 + t^5.17 + 2*t^5.35 + t^5.54 + t^5.77 + t^5.82 - 3*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3516 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ | 0.6734 | 0.8329 | 0.8084 | [X:[], M:[0.6829, 1.1057, 0.9729, 0.7371, 1.1057, 1.0271, 1.0514], q:[0.7764, 0.5407], qb:[0.4864, 0.4079], phi:[0.4471]] | t^2.05 + t^2.21 + t^3.08 + t^3.15 + 2*t^3.32 + t^3.55 + t^3.79 + t^4.02 + t^4.1 + t^4.19 + 2*t^4.26 + 2*t^4.42 + t^4.59 + t^5.13 + t^5.2 + t^5.29 + 3*t^5.37 + 2*t^5.53 - 2*t^6. - t^4.34/y - t^4.34*y | detail |