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 |
|---|---|---|---|---|---|---|---|---|---|
| 46831 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6243 | 0.8111 | 0.7697 | [X:[], M:[0.9947, 1.0053, 0.7646, 0.7434, 1.0159], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | [X:[], M:[[4], [-4], [-11], [5], [-12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_2$, $ \phi_1^2$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_3^2$, $ M_2M_4$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1q_2^2$, $ M_4q_1\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.23 + t^2.26 + t^2.29 + 2*t^3.02 + 2*t^3.05 + 2*t^3.74 + t^4.43 + 4*t^4.46 + 3*t^4.49 + 3*t^4.52 + t^4.56 + t^4.59 + 4*t^5.25 + 5*t^5.28 + 3*t^5.31 + 2*t^5.34 + 2*t^5.97 - 2*t^6. + 2*t^6.03 + 4*t^6.06 + 3*t^6.1 + 2*t^6.66 + 5*t^6.69 + 3*t^6.72 + 7*t^6.75 + 5*t^6.79 + 2*t^6.82 + t^6.85 + t^6.88 - t^7.41 + 7*t^7.48 + 7*t^7.51 + 7*t^7.54 + 6*t^7.57 + 3*t^7.6 + 2*t^7.63 + t^8.17 - 7*t^8.23 + 4*t^8.29 + 8*t^8.33 + 5*t^8.36 + 3*t^8.39 + t^8.86 + 4*t^8.89 + 7*t^8.92 + 3*t^8.95 + 6*t^8.98 - t^4.51/y - t^6.74/y - t^6.8/y + (2*t^7.46)/y + (3*t^7.49)/y + t^7.52/y + t^8.21/y + (4*t^8.25)/y + (7*t^8.28)/y + (4*t^8.31)/y + (2*t^8.34)/y + (3*t^8.97)/y - t^4.51*y - t^6.74*y - t^6.8*y + 2*t^7.46*y + 3*t^7.49*y + t^7.52*y + t^8.21*y + 4*t^8.25*y + 7*t^8.28*y + 4*t^8.31*y + 2*t^8.34*y + 3*t^8.97*y | 2*g1^5*t^2.23 + t^2.26/g1^3 + t^2.29/g1^11 + (2*t^3.02)/g1^4 + (2*t^3.05)/g1^12 + 2*g1^3*t^3.74 + g1^18*t^4.43 + 4*g1^10*t^4.46 + 3*g1^2*t^4.49 + (3*t^4.52)/g1^6 + t^4.56/g1^14 + t^4.59/g1^22 + 4*g1*t^5.25 + (5*t^5.28)/g1^7 + (3*t^5.31)/g1^15 + (2*t^5.34)/g1^23 + 2*g1^8*t^5.97 - 2*t^6. + (2*t^6.03)/g1^8 + (4*t^6.06)/g1^16 + (3*t^6.1)/g1^24 + 2*g1^23*t^6.66 + 5*g1^15*t^6.69 + 3*g1^7*t^6.72 + (7*t^6.75)/g1 + (5*t^6.79)/g1^9 + (2*t^6.82)/g1^17 + t^6.85/g1^25 + t^6.88/g1^33 - g1^22*t^7.41 + 7*g1^6*t^7.48 + (7*t^7.51)/g1^2 + (7*t^7.54)/g1^10 + (6*t^7.57)/g1^18 + (3*t^7.6)/g1^26 + (2*t^7.63)/g1^34 + g1^21*t^8.17 - 7*g1^5*t^8.23 + (4*t^8.29)/g1^11 + (8*t^8.33)/g1^19 + (5*t^8.36)/g1^27 + (3*t^8.39)/g1^35 + g1^36*t^8.86 + 4*g1^28*t^8.89 + 7*g1^20*t^8.92 + 3*g1^12*t^8.95 + 6*g1^4*t^8.98 - t^4.51/(g1^2*y) - (g1^3*t^6.74)/y - t^6.8/(g1^13*y) + (2*g1^10*t^7.46)/y + (3*g1^2*t^7.49)/y + t^7.52/(g1^6*y) + (g1^9*t^8.21)/y + (4*g1*t^8.25)/y + (7*t^8.28)/(g1^7*y) + (4*t^8.31)/(g1^15*y) + (2*t^8.34)/(g1^23*y) + (3*g1^8*t^8.97)/y - (t^4.51*y)/g1^2 - g1^3*t^6.74*y - (t^6.8*y)/g1^13 + 2*g1^10*t^7.46*y + 3*g1^2*t^7.49*y + (t^7.52*y)/g1^6 + g1^9*t^8.21*y + 4*g1*t^8.25*y + (7*t^8.28*y)/g1^7 + (4*t^8.31*y)/g1^15 + (2*t^8.34*y)/g1^23 + 3*g1^8*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 54892 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ | 0.6105 | 0.7926 | 0.7703 | [X:[], M:[0.9565, 1.0435, 0.8696, 0.6957, 1.1304], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.09 + t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 3*t^4.7 + t^4.96 + 5*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 118851/194672, c: 77147/97336, M1: 22/23, M2: 24/23, M3: 20/23, M4: 16/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46553 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6278 | 0.8165 | 0.7689 | [X:[], M:[0.9804, 1.0196, 0.8039, 0.7255], q:[0.7451, 0.2745], qb:[0.4902, 0.451], phi:[0.5098]] | 2*t^2.18 + t^2.29 + t^2.41 + t^2.82 + 2*t^3.06 + t^3.18 + 2*t^3.71 + t^4.24 + 4*t^4.35 + 3*t^4.47 + 3*t^4.59 + t^4.71 + t^4.82 + 2*t^5. + t^5.12 + 5*t^5.24 + 3*t^5.35 + 2*t^5.47 + t^5.59 + t^5.65 + 4*t^5.88 - t^6. - t^4.53/y - t^4.53*y | detail |