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 |
|---|---|---|---|---|---|---|---|---|---|
| 45965 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6855 | 0.8931 | 0.7675 | [X:[], M:[0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]] | [X:[], M:[[1, 1], [-2, 0], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2^2$, $ M_1M_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.03 + t^2.05 + 2*t^2.45 + t^2.52 + t^2.53 + t^3. + t^3.47 + t^3.48 + t^3.93 + t^4.02 + t^4.03 + t^4.07 + t^4.08 + 2*t^4.1 + 2*t^4.48 + 2*t^4.5 + t^4.55 + 2*t^4.57 + t^4.59 + 3*t^4.9 + 2*t^4.97 + 2*t^4.98 + 2*t^5.03 + 2*t^5.05 + t^5.07 + 2*t^5.45 + t^5.5 + 3*t^5.52 + 2*t^5.53 + t^5.91 + t^5.93 + t^5.96 + t^5.98 - t^6. + t^6.05 + t^6.07 + t^6.1 + t^6.12 + 2*t^6.13 + 2*t^6.15 + 2*t^6.38 + t^6.45 + 2*t^6.47 + t^6.48 + 2*t^6.51 + 3*t^6.53 + 4*t^6.55 + t^6.57 + t^6.58 + 2*t^6.6 + 3*t^6.62 + 2*t^6.64 + 4*t^6.93 + 2*t^6.95 + 2*t^7. + 3*t^7.02 + t^7.03 + 2*t^7.07 + 3*t^7.08 + 3*t^7.1 + t^7.12 + 4*t^7.35 + t^7.4 + 2*t^7.41 + t^7.43 + 3*t^7.48 + 2*t^7.5 + t^7.52 + t^7.53 + 4*t^7.55 + 4*t^7.57 + 2*t^7.59 + t^7.6 + t^7.86 + 2*t^7.9 + 2*t^7.95 + 3*t^7.97 + t^7.98 + t^8. + t^8.01 + 2*t^8.03 - t^8.05 + t^8.07 + t^8.08 + t^8.1 + t^8.12 + t^8.13 + t^8.14 + t^8.15 + 2*t^8.17 + 2*t^8.19 + 3*t^8.2 + t^8.36 + t^8.38 + 2*t^8.41 + t^8.43 - 4*t^8.45 - t^8.47 + t^8.48 + 3*t^8.5 - t^8.52 - 3*t^8.53 + 2*t^8.55 + 3*t^8.57 + 4*t^8.58 + 3*t^8.6 + t^8.61 + 2*t^8.63 + 3*t^8.65 + 4*t^8.67 + 2*t^8.69 + 3*t^8.83 + 2*t^8.9 + 2*t^8.91 + 5*t^8.96 + 4*t^8.98 - t^4.5/y - t^6.53/y - t^6.55/y - t^6.95/y + t^7.08/y + (2*t^7.48)/y + (2*t^7.5)/y + t^7.55/y + (2*t^7.57)/y + t^7.59/y + t^7.9/y + (2*t^7.97)/y + (2*t^7.98)/y + t^8.03/y + (3*t^8.05)/y + (3*t^8.45)/y + t^8.47/y + t^8.5/y + (3*t^8.52)/y + (2*t^8.53)/y - t^8.57/y - t^8.58/y - t^8.6/y + (2*t^8.91)/y + (2*t^8.93)/y + t^8.96/y + t^8.98/y - t^4.5*y - t^6.53*y - t^6.55*y - t^6.95*y + t^7.08*y + 2*t^7.48*y + 2*t^7.5*y + t^7.55*y + 2*t^7.57*y + t^7.59*y + t^7.9*y + 2*t^7.97*y + 2*t^7.98*y + t^8.03*y + 3*t^8.05*y + 3*t^8.45*y + t^8.47*y + t^8.5*y + 3*t^8.52*y + 2*t^8.53*y - t^8.57*y - t^8.58*y - t^8.6*y + 2*t^8.91*y + 2*t^8.93*y + t^8.96*y + t^8.98*y | t^2.03/g1^2 + t^2.05/(g1*g2) + 2*g1*g2*t^2.45 + t^2.52/g1 + t^2.53/g2 + t^3. + g2*t^3.47 + g1*t^3.48 + g2^2*t^3.93 + t^4.02/g1 + t^4.03/g2 + t^4.07/g1^4 + t^4.08/(g1^3*g2) + (2*t^4.1)/(g1^2*g2^2) + (2*g2*t^4.48)/g1 + 2*t^4.5 + t^4.55/g1^3 + (2*t^4.57)/(g1^2*g2) + t^4.59/(g1*g2^2) + 3*g1^2*g2^2*t^4.9 + 2*g2*t^4.97 + 2*g1*t^4.98 + (2*t^5.03)/g1^2 + (2*t^5.05)/(g1*g2) + t^5.07/g2^2 + 2*g1*g2*t^5.45 + (g2*t^5.5)/g1^2 + (3*t^5.52)/g1 + (2*t^5.53)/g2 + g1*g2^2*t^5.91 + g1^2*g2*t^5.93 + (g2^2*t^5.96)/g1^2 + (g2*t^5.98)/g1 - t^6. + t^6.05/g1^3 + t^6.07/(g1^2*g2) + t^6.1/g1^6 + t^6.12/(g1^5*g2) + (2*t^6.13)/(g1^4*g2^2) + (2*t^6.15)/(g1^3*g2^3) + 2*g1*g2^3*t^6.38 + (g2^2*t^6.45)/g1 + 2*g2*t^6.47 + g1*t^6.48 + (2*g2*t^6.51)/g1^3 + (3*t^6.53)/g1^2 + (4*t^6.55)/(g1*g2) + t^6.57/g2^2 + t^6.58/g1^5 + (2*t^6.6)/(g1^4*g2) + (3*t^6.62)/(g1^3*g2^2) + (2*t^6.64)/(g1^2*g2^3) + 4*g2^2*t^6.93 + 2*g1*g2*t^6.95 + (2*g2*t^7.)/g1^2 + (3*t^7.02)/g1 + t^7.03/g2 + (2*t^7.07)/g1^4 + (3*t^7.08)/(g1^3*g2) + (3*t^7.1)/(g1^2*g2^2) + t^7.12/(g1*g2^3) + 4*g1^3*g2^3*t^7.35 + g2^3*t^7.4 + 2*g1*g2^2*t^7.41 + g1^2*g2*t^7.43 + (3*g2*t^7.48)/g1 + 2*t^7.5 + (g1*t^7.52)/g2 + (g2*t^7.53)/g1^4 + (4*t^7.55)/g1^3 + (4*t^7.57)/(g1^2*g2) + (2*t^7.59)/(g1*g2^2) + t^7.6/g2^3 + g2^4*t^7.86 + 2*g1^2*g2^2*t^7.9 + (2*g2^2*t^7.95)/g1 + 3*g2*t^7.97 + g1*t^7.98 + (g2^2*t^8.)/g1^4 + (g2*t^8.01)/g1^3 + (2*t^8.03)/g1^2 - t^8.05/(g1*g2) + t^8.07/g2^2 + t^8.08/g1^5 + t^8.1/(g1^4*g2) + t^8.12/(g1^3*g2^2) + t^8.13/g1^8 + t^8.14/(g1^2*g2^3) + t^8.15/(g1^7*g2) + (2*t^8.17)/(g1^6*g2^2) + (2*t^8.19)/(g1^5*g2^3) + (3*t^8.2)/(g1^4*g2^4) + g1^2*g2^3*t^8.36 + g1^3*g2^2*t^8.38 + (2*g2^3*t^8.41)/g1 + g2^2*t^8.43 - 4*g1*g2*t^8.45 - g1^2*t^8.47 + (g2^2*t^8.48)/g1^3 + (3*g2*t^8.5)/g1^2 - t^8.52/g1 - (3*t^8.53)/g2 + (2*g2*t^8.55)/g1^5 + (3*t^8.57)/g1^4 + (4*t^8.58)/(g1^3*g2) + (3*t^8.6)/(g1^2*g2^2) + t^8.61/g1^7 + (2*t^8.63)/(g1^6*g2) + (3*t^8.65)/(g1^5*g2^2) + (4*t^8.67)/(g1^4*g2^3) + (2*t^8.69)/(g1^3*g2^4) + 3*g1^2*g2^4*t^8.83 + 2*g2^3*t^8.9 + 2*g1*g2^2*t^8.91 + (5*g2^2*t^8.96)/g1^2 + (4*g2*t^8.98)/g1 - t^4.5/y - t^6.53/(g1^2*y) - t^6.55/(g1*g2*y) - (g1*g2*t^6.95)/y + t^7.08/(g1^3*g2*y) + (2*g2*t^7.48)/(g1*y) + (2*t^7.5)/y + t^7.55/(g1^3*y) + (2*t^7.57)/(g1^2*g2*y) + t^7.59/(g1*g2^2*y) + (g1^2*g2^2*t^7.9)/y + (2*g2*t^7.97)/y + (2*g1*t^7.98)/y + t^8.03/(g1^2*y) + (3*t^8.05)/(g1*g2*y) + (3*g1*g2*t^8.45)/y + (g1^2*t^8.47)/y + (g2*t^8.5)/(g1^2*y) + (3*t^8.52)/(g1*y) + (2*t^8.53)/(g2*y) - t^8.57/(g1^4*y) - t^8.58/(g1^3*g2*y) - t^8.6/(g1^2*g2^2*y) + (2*g1*g2^2*t^8.91)/y + (2*g1^2*g2*t^8.93)/y + (g2^2*t^8.96)/(g1^2*y) + (g2*t^8.98)/(g1*y) - t^4.5*y - (t^6.53*y)/g1^2 - (t^6.55*y)/(g1*g2) - g1*g2*t^6.95*y + (t^7.08*y)/(g1^3*g2) + (2*g2*t^7.48*y)/g1 + 2*t^7.5*y + (t^7.55*y)/g1^3 + (2*t^7.57*y)/(g1^2*g2) + (t^7.59*y)/(g1*g2^2) + g1^2*g2^2*t^7.9*y + 2*g2*t^7.97*y + 2*g1*t^7.98*y + (t^8.03*y)/g1^2 + (3*t^8.05*y)/(g1*g2) + 3*g1*g2*t^8.45*y + g1^2*t^8.47*y + (g2*t^8.5*y)/g1^2 + (3*t^8.52*y)/g1 + (2*t^8.53*y)/g2 - (t^8.57*y)/g1^4 - (t^8.58*y)/(g1^3*g2) - (t^8.6*y)/(g1^2*g2^2) + 2*g1*g2^2*t^8.91*y + 2*g1^2*g2*t^8.93*y + (g2^2*t^8.96*y)/g1^2 + (g2*t^8.98*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46319 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ | 0.6763 | 0.877 | 0.7712 | [X:[], M:[0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + 2*t^2.37 + 2*t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + 2*t^4.42 + 2*t^4.5 + 4*t^4.73 + 4*t^4.82 + 3*t^4.9 + 3*t^5.05 + 2*t^5.13 + 4*t^5.37 + 2*t^5.45 + 3*t^5.68 + t^5.77 - t^4.5/y - t^4.5*y | detail | |
| 46337 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.7062 | 0.9336 | 0.7565 | [X:[], M:[0.8189, 0.6811, 0.6811, 0.6811], q:[0.75, 0.4311], qb:[0.4095, 0.4095], phi:[0.5]] | 3*t^2.04 + 2*t^2.46 + 2*t^2.52 + t^3. + 2*t^3.48 + 2*t^4.02 + 7*t^4.09 + 6*t^4.5 + 6*t^4.56 + 3*t^4.91 + 4*t^4.98 + 6*t^5.04 + 2*t^5.46 + 8*t^5.52 + 2*t^5.94 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 46182 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.6721 | 0.8687 | 0.7736 | [X:[], M:[0.8103, 0.7064, 0.6897, 1.1468], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]] | t^2.07 + t^2.12 + 2*t^2.43 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^3.98 + t^4.01 + t^4.06 + 2*t^4.14 + t^4.19 + t^4.24 + 2*t^4.5 + 2*t^4.55 + t^4.58 + t^4.63 + 3*t^4.86 + 2*t^4.94 + t^5.02 + t^5.07 + t^5.12 + 2*t^5.43 + 3*t^5.51 + 3*t^5.56 + t^5.61 + 3*t^5.87 + t^5.92 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46150 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.685 | 0.8925 | 0.7675 | [X:[], M:[0.8301, 0.6797, 0.6699], q:[0.75, 0.4199], qb:[0.4101, 0.4199], phi:[0.5]] | t^2.01 + t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + t^3.99 + 4*t^4.02 + t^4.05 + t^4.08 + 3*t^4.5 + 4*t^4.53 + t^4.56 + 6*t^4.98 + 4*t^5.01 + 2*t^5.04 + 4*t^5.49 + 3*t^5.52 + t^5.55 + t^5.97 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45913 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6648 | 0.8527 | 0.7796 | [X:[], M:[0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |