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 |
|---|---|---|---|---|---|---|---|---|---|
| 4471 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.62 | 0.8023 | 0.7727 | [X:[], M:[0.9554, 1.1337, 1.0446, 0.8663, 0.7389, 1.2611, 0.828, 0.8663], q:[0.7389, 0.3057], qb:[0.4331, 0.4331], phi:[0.5223]] | [X:[], M:[[4], [-12], [-4], [12], [1], [-1], [-7], [12]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_8$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_8$, $ M_4\phi_1^2$, $ M_8\phi_1^2$, $ q_1q_2\tilde{q}_2^2$ | $M_6q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.22 + t^2.48 + 2*t^2.6 + 2*t^3.13 + t^3.52 + 2*t^3.78 + 3*t^4.17 + 3*t^4.43 + 2*t^4.7 + 4*t^4.82 + t^4.97 + 2*t^5.08 + 3*t^5.2 + 4*t^5.35 + 5*t^5.73 - t^6. + 2*t^6.11 + 3*t^6.27 + 6*t^6.38 + 5*t^6.65 + 6*t^6.76 + 3*t^6.92 + 4*t^7.03 + 7*t^7.3 + 6*t^7.41 + t^7.45 + 3*t^7.57 + 4*t^7.68 + 4*t^7.8 + 9*t^7.95 - 5*t^8.22 + 13*t^8.33 + t^8.48 - t^8.6 + 3*t^8.71 - t^8.75 + 8*t^8.87 + 10*t^8.98 - t^4.57/y - t^7.05/y - t^7.17/y + (2*t^7.43)/y + t^7.7/y + (4*t^7.82)/y + t^7.97/y + (3*t^8.08)/y + t^8.2/y + (4*t^8.35)/y + (2*t^8.62)/y + (6*t^8.73)/y - t^4.57*y - t^7.05*y - t^7.17*y + 2*t^7.43*y + t^7.7*y + 4*t^7.82*y + t^7.97*y + 3*t^8.08*y + t^8.2*y + 4*t^8.35*y + 2*t^8.62*y + 6*t^8.73*y | 2*g1*t^2.22 + t^2.48/g1^7 + 2*g1^12*t^2.6 + (2*t^3.13)/g1^4 + g1^7*t^3.52 + (2*t^3.78)/g1 + 3*g1^10*t^4.17 + 3*g1^2*t^4.43 + (2*t^4.7)/g1^6 + 4*g1^13*t^4.82 + t^4.97/g1^14 + 2*g1^5*t^5.08 + 3*g1^24*t^5.2 + (4*t^5.35)/g1^3 + 5*g1^8*t^5.73 - t^6. + 2*g1^19*t^6.11 + (3*t^6.27)/g1^8 + 6*g1^11*t^6.38 + 5*g1^3*t^6.65 + 6*g1^22*t^6.76 + (3*t^6.92)/g1^5 + 4*g1^14*t^7.03 + 7*g1^6*t^7.3 + 6*g1^25*t^7.41 + t^7.45/g1^21 + (3*t^7.57)/g1^2 + 4*g1^17*t^7.68 + 4*g1^36*t^7.8 + 9*g1^9*t^7.95 - 5*g1*t^8.22 + 13*g1^20*t^8.33 + t^8.48/g1^7 - g1^12*t^8.6 + 3*g1^31*t^8.71 - t^8.75/g1^15 + 8*g1^4*t^8.87 + 10*g1^23*t^8.98 - t^4.57/(g1^2*y) - t^7.05/(g1^9*y) - (g1^10*t^7.17)/y + (2*g1^2*t^7.43)/y + t^7.7/(g1^6*y) + (4*g1^13*t^7.82)/y + t^7.97/(g1^14*y) + (3*g1^5*t^8.08)/y + (g1^24*t^8.2)/y + (4*t^8.35)/(g1^3*y) + (2*t^8.62)/(g1^11*y) + (6*g1^8*t^8.73)/y - (t^4.57*y)/g1^2 - (t^7.05*y)/g1^9 - g1^10*t^7.17*y + 2*g1^2*t^7.43*y + (t^7.7*y)/g1^6 + 4*g1^13*t^7.82*y + (t^7.97*y)/g1^14 + 3*g1^5*t^8.08*y + g1^24*t^8.2*y + (4*t^8.35*y)/g1^3 + (2*t^8.62*y)/g1^11 + 6*g1^8*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 5970 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1q_2^2$ + $ M_9q_1\tilde{q}_2$ | 0.6351 | 0.8273 | 0.7677 | [X:[], M:[0.9627, 1.112, 1.0373, 0.888, 0.7407, 1.2593, 0.8153, 0.888, 0.8153], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]] | 2*t^2.22 + 2*t^2.45 + 2*t^2.66 + 2*t^3.11 + 2*t^3.78 + 3*t^4.22 + 3*t^4.44 + 4*t^4.67 + 7*t^4.89 + 4*t^5.11 + 7*t^5.33 + 2*t^5.56 + 3*t^5.78 - 2*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2428 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6101 | 0.7833 | 0.7789 | [X:[], M:[0.9726, 1.0823, 1.0274, 0.9177, 0.7431, 1.2569, 0.798], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | 2*t^2.23 + t^2.39 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.61 + 2*t^3.77 + 3*t^4.29 + 3*t^4.46 + 2*t^4.62 + t^4.79 + 2*t^4.98 + t^5.15 + 4*t^5.31 + 2*t^5.48 + t^5.51 + t^5.64 + 3*t^5.84 - t^4.54/y - t^4.54*y | detail |