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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[4], [-4], [-11], [5]], 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$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \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_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_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_3\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_3$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | 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. + 2*t^6.12 + 2*t^6.23 + t^6.35 + 2*t^6.41 + 7*t^6.53 + 3*t^6.65 + 7*t^6.76 + 3*t^6.88 + 2*t^7. + t^7.06 + t^7.12 + 3*t^7.18 + t^7.23 + 3*t^7.29 + 9*t^7.41 + 4*t^7.53 + 5*t^7.65 + 3*t^7.76 + 2*t^7.82 + 2*t^7.88 + 2*t^7.94 + t^8. + 5*t^8.06 - 4*t^8.18 + 2*t^8.29 + t^8.41 + 2*t^8.47 + 3*t^8.53 + 4*t^8.59 + 2*t^8.65 + 11*t^8.71 + t^8.76 + 2*t^8.82 + 8*t^8.94 - t^4.53/y - t^6.71/y - t^6.94/y + t^7.35/y + (3*t^7.47)/y + t^7.59/y + t^7.71/y + (2*t^8.)/y + (2*t^8.12)/y + (5*t^8.24)/y + (5*t^8.35)/y + (3*t^8.47)/y + t^8.59/y + (5*t^8.88)/y - t^4.53*y - t^6.71*y - t^6.94*y + t^7.35*y + 3*t^7.47*y + t^7.59*y + t^7.71*y + 2*t^8.*y + 2*t^8.12*y + 5*t^8.24*y + 5*t^8.35*y + 3*t^8.47*y + t^8.59*y + 5*t^8.88*y | 2*g1^5*t^2.18 + t^2.29/g1^3 + t^2.41/g1^11 + g1^12*t^2.82 + (2*t^3.06)/g1^4 + t^3.18/g1^12 + 2*g1^3*t^3.71 + g1^18*t^4.24 + 4*g1^10*t^4.35 + 3*g1^2*t^4.47 + (3*t^4.59)/g1^6 + t^4.71/g1^14 + t^4.82/g1^22 + 2*g1^17*t^5. + g1^9*t^5.12 + 5*g1*t^5.24 + (3*t^5.35)/g1^7 + (2*t^5.47)/g1^15 + t^5.59/g1^23 + g1^24*t^5.65 + 4*g1^8*t^5.88 - t^6. + (2*t^6.12)/g1^8 + (2*t^6.23)/g1^16 + t^6.35/g1^24 + 2*g1^23*t^6.41 + 7*g1^15*t^6.53 + 3*g1^7*t^6.65 + (7*t^6.76)/g1 + (3*t^6.88)/g1^9 + (2*t^7.)/g1^17 + g1^30*t^7.06 + t^7.12/g1^25 + 3*g1^22*t^7.18 + t^7.23/g1^33 + 3*g1^14*t^7.29 + 9*g1^6*t^7.41 + (4*t^7.53)/g1^2 + (5*t^7.65)/g1^10 + (3*t^7.76)/g1^18 + 2*g1^29*t^7.82 + (2*t^7.88)/g1^26 + 2*g1^21*t^7.94 + t^8./g1^34 + 5*g1^13*t^8.06 - 4*g1^5*t^8.18 + (2*t^8.29)/g1^3 + t^8.41/g1^11 + 2*g1^36*t^8.47 + (3*t^8.53)/g1^19 + 4*g1^28*t^8.59 + (2*t^8.65)/g1^27 + 11*g1^20*t^8.71 + t^8.76/g1^35 + 2*g1^12*t^8.82 + 8*g1^4*t^8.94 - t^4.53/(g1^2*y) - (g1^3*t^6.71)/y - t^6.94/(g1^13*y) + (g1^10*t^7.35)/y + (3*g1^2*t^7.47)/y + t^7.59/(g1^6*y) + t^7.71/(g1^14*y) + (2*g1^17*t^8.)/y + (2*g1^9*t^8.12)/y + (5*g1*t^8.24)/y + (5*t^8.35)/(g1^7*y) + (3*t^8.47)/(g1^15*y) + t^8.59/(g1^23*y) + (5*g1^8*t^8.88)/y - (t^4.53*y)/g1^2 - g1^3*t^6.71*y - (t^6.94*y)/g1^13 + g1^10*t^7.35*y + 3*g1^2*t^7.47*y + (t^7.59*y)/g1^6 + (t^7.71*y)/g1^14 + 2*g1^17*t^8.*y + 2*g1^9*t^8.12*y + 5*g1*t^8.24*y + (5*t^8.35*y)/g1^7 + (3*t^8.47*y)/g1^15 + (t^8.59*y)/g1^23 + 5*g1^8*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 47195 | $M_1q_1q_2$ + $ \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\phi_1q_2^2$ | 0.635 | 0.8307 | 0.7645 | [X:[], M:[0.9675, 1.0325, 0.8395, 0.7093, 0.9024], q:[0.7419, 0.2907], qb:[0.4837, 0.4186], phi:[0.5163]] | 2*t^2.13 + t^2.32 + t^2.52 + 2*t^2.71 + 2*t^3.1 + 2*t^3.68 + t^4.06 + 4*t^4.26 + 3*t^4.45 + 3*t^4.65 + 4*t^4.83 + t^4.84 + 2*t^5.03 + t^5.04 + 6*t^5.23 + 3*t^5.41 + t^5.42 + t^5.62 + 6*t^5.8 - 2*t^6. - t^4.55/y - t^4.55*y | detail | |
| 46922 | $M_1q_1q_2$ + $ \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_5q_1\tilde{q}_1$ | 0.6462 | 0.8496 | 0.7606 | [X:[], M:[0.9822, 1.0178, 0.799, 0.7277, 0.7634], q:[0.7455, 0.2723], qb:[0.4911, 0.4555], phi:[0.5089]] | 2*t^2.18 + 2*t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + t^3.71 + t^4.26 + 4*t^4.37 + 5*t^4.47 + 5*t^4.58 + 2*t^4.69 + t^4.79 + 2*t^5.02 + 2*t^5.13 + 5*t^5.24 + 5*t^5.34 + 3*t^5.45 + t^5.56 + t^5.68 + 2*t^5.89 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 46831 | $M_1q_1q_2$ + $ \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]] | 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. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46173 | 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$ | 0.6079 | 0.7795 | 0.7799 | [X:[], M:[0.9824, 1.0176, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | t^2.18 + t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + 2*t^3.71 + t^3.82 + t^4.26 + 2*t^4.37 + 2*t^4.47 + 2*t^4.58 + t^4.68 + t^4.79 + t^5.03 + t^5.13 + 3*t^5.24 + 2*t^5.34 + 2*t^5.45 + t^5.55 + t^5.68 + 2*t^5.89 - t^4.53/y - t^4.53*y | detail |