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 |
|---|---|---|---|---|---|---|---|---|---|
| 55669 | SU2adj1nf3 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ + $ q_1q_2$ | 0.7003 | 0.8367 | 0.837 | [X:[], M:[1.0907], q:[0.7727, 1.2273, 0.5454], qb:[0.5454, 0.5454, 0.5454], phi:[0.4546]] | [X:[], M:[[4, 4, 4, 4]], q:[[1, 1, 1, 1], [-1, -1, -1, -1], [8, 0, 0, 0]], qb:[[0, 8, 0, 0], [0, 0, 8, 0], [0, 0, 0, 8]], phi:[[-2, -2, -2, -2]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_3\tilde{q}_1$, $ M_1$, $ \phi_1q_3^2$, $ \phi_1q_3\tilde{q}_1$, $ \phi_1\tilde{q}_2\tilde{q}_3$ | . | -16 | 7*t^3.27 + 10*t^4.64 - 16*t^6. + 27*t^6.54 - 15*t^7.36 + 45*t^7.91 + 10*t^8.73 - t^4.36/y - t^4.36*y | g1^8*g2^8*t^3.27 + g1^8*g3^8*t^3.27 + g2^8*g3^8*t^3.27 + g1^4*g2^4*g3^4*g4^4*t^3.27 + g1^8*g4^8*t^3.27 + g2^8*g4^8*t^3.27 + g3^8*g4^8*t^3.27 + (g1^14*t^4.64)/(g2^2*g3^2*g4^2) + (g1^6*g2^6*t^4.64)/(g3^2*g4^2) + (g2^14*t^4.64)/(g1^2*g3^2*g4^2) + (g1^6*g3^6*t^4.64)/(g2^2*g4^2) + (g2^6*g3^6*t^4.64)/(g1^2*g4^2) + (g3^14*t^4.64)/(g1^2*g2^2*g4^2) + (g1^6*g4^6*t^4.64)/(g2^2*g3^2) + (g2^6*g4^6*t^4.64)/(g1^2*g3^2) + (g3^6*g4^6*t^4.64)/(g1^2*g2^2) + (g4^14*t^4.64)/(g1^2*g2^2*g3^2) - 4*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 - (g1^8*t^6.)/g3^8 - (g2^8*t^6.)/g3^8 - (g3^8*t^6.)/g1^8 - (g3^8*t^6.)/g2^8 - (g1^8*t^6.)/g4^8 - (g2^8*t^6.)/g4^8 - (g3^8*t^6.)/g4^8 - (g4^8*t^6.)/g1^8 - (g4^8*t^6.)/g2^8 - (g4^8*t^6.)/g3^8 + g1^16*g2^16*t^6.54 + g1^16*g2^8*g3^8*t^6.54 + g1^8*g2^16*g3^8*t^6.54 + g1^16*g3^16*t^6.54 + g1^8*g2^8*g3^16*t^6.54 + g2^16*g3^16*t^6.54 + g1^12*g2^12*g3^4*g4^4*t^6.54 + g1^12*g2^4*g3^12*g4^4*t^6.54 + g1^4*g2^12*g3^12*g4^4*t^6.54 + g1^16*g2^8*g4^8*t^6.54 + g1^8*g2^16*g4^8*t^6.54 + g1^16*g3^8*g4^8*t^6.54 + 3*g1^8*g2^8*g3^8*g4^8*t^6.54 + g2^16*g3^8*g4^8*t^6.54 + g1^8*g3^16*g4^8*t^6.54 + g2^8*g3^16*g4^8*t^6.54 + g1^12*g2^4*g3^4*g4^12*t^6.54 + g1^4*g2^12*g3^4*g4^12*t^6.54 + g1^4*g2^4*g3^12*g4^12*t^6.54 + g1^16*g4^16*t^6.54 + g1^8*g2^8*g4^16*t^6.54 + g2^16*g4^16*t^6.54 + g1^8*g3^8*g4^16*t^6.54 + g2^8*g3^8*g4^16*t^6.54 + g3^16*g4^16*t^6.54 - (g1^6*t^7.36)/(g2^2*g3^2*g4^10) - (g2^6*t^7.36)/(g1^2*g3^2*g4^10) - (g3^6*t^7.36)/(g1^2*g2^2*g4^10) - (g1^6*t^7.36)/(g2^2*g3^10*g4^2) - (g2^6*t^7.36)/(g1^2*g3^10*g4^2) - (g1^6*t^7.36)/(g2^10*g3^2*g4^2) - (3*t^7.36)/(g1^2*g2^2*g3^2*g4^2) - (g2^6*t^7.36)/(g1^10*g3^2*g4^2) - (g3^6*t^7.36)/(g1^2*g2^10*g4^2) - (g3^6*t^7.36)/(g1^10*g2^2*g4^2) - (g4^6*t^7.36)/(g1^2*g2^2*g3^10) - (g4^6*t^7.36)/(g1^2*g2^10*g3^2) - (g4^6*t^7.36)/(g1^10*g2^2*g3^2) + (g1^22*g2^6*t^7.91)/(g3^2*g4^2) + (g1^14*g2^14*t^7.91)/(g3^2*g4^2) + (g1^6*g2^22*t^7.91)/(g3^2*g4^2) + (g1^22*g3^6*t^7.91)/(g2^2*g4^2) + (2*g1^14*g2^6*g3^6*t^7.91)/g4^2 + (2*g1^6*g2^14*g3^6*t^7.91)/g4^2 + (g2^22*g3^6*t^7.91)/(g1^2*g4^2) + (g1^14*g3^14*t^7.91)/(g2^2*g4^2) + (2*g1^6*g2^6*g3^14*t^7.91)/g4^2 + (g2^14*g3^14*t^7.91)/(g1^2*g4^2) + (g1^6*g3^22*t^7.91)/(g2^2*g4^2) + (g2^6*g3^22*t^7.91)/(g1^2*g4^2) + (g1^22*g4^6*t^7.91)/(g2^2*g3^2) + (2*g1^14*g2^6*g4^6*t^7.91)/g3^2 + (2*g1^6*g2^14*g4^6*t^7.91)/g3^2 + (g2^22*g4^6*t^7.91)/(g1^2*g3^2) + (2*g1^14*g3^6*g4^6*t^7.91)/g2^2 + 3*g1^6*g2^6*g3^6*g4^6*t^7.91 + (2*g2^14*g3^6*g4^6*t^7.91)/g1^2 + (2*g1^6*g3^14*g4^6*t^7.91)/g2^2 + (2*g2^6*g3^14*g4^6*t^7.91)/g1^2 + (g3^22*g4^6*t^7.91)/(g1^2*g2^2) + (g1^14*g4^14*t^7.91)/(g2^2*g3^2) + (2*g1^6*g2^6*g4^14*t^7.91)/g3^2 + (g2^14*g4^14*t^7.91)/(g1^2*g3^2) + (2*g1^6*g3^6*g4^14*t^7.91)/g2^2 + (2*g2^6*g3^6*g4^14*t^7.91)/g1^2 + (g3^14*g4^14*t^7.91)/(g1^2*g2^2) + (g1^6*g4^22*t^7.91)/(g2^2*g3^2) + (g2^6*g4^22*t^7.91)/(g1^2*g3^2) + (g3^6*g4^22*t^7.91)/(g1^2*g2^2) + t^8.73/g1^16 + t^8.73/g2^16 + t^8.73/(g1^8*g2^8) + t^8.73/g3^16 + t^8.73/(g1^8*g3^8) + t^8.73/(g2^8*g3^8) + t^8.73/g4^16 + t^8.73/(g1^8*g4^8) + t^8.73/(g2^8*g4^8) + t^8.73/(g3^8*g4^8) - t^4.36/(g1^2*g2^2*g3^2*g4^2*y) - (t^4.36*y)/(g1^2*g2^2*g3^2*g4^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55769 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ + $ q_1q_2$ + $ M_2q_3\tilde{q}_1$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[1.1256, 0.8278], q:[0.7814, 1.2186, 0.5861], qb:[0.5861, 0.5395, 0.5395], phi:[0.4372]] | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*y | detail | |
| 55776 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ + $ q_1q_2$ + $ \phi_1q_3^2$ | 0.6584 | 0.7801 | 0.844 | [X:[], M:[1.1579], q:[0.7895, 1.2105, 0.7895], qb:[0.5088, 0.5088, 0.5088], phi:[0.4211]] | 3*t^3.05 + t^3.47 + 3*t^3.89 + 6*t^4.32 - 9*t^6. - t^4.26/y - t^4.26*y | detail | {a: 3803/5776, c: 2253/2888, M1: 22/19, q1: 15/19, q2: 23/19, q3: 15/19, qb1: 29/57, qb2: 29/57, qb3: 29/57, phi1: 8/19} |
| 55766 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ + $ q_1q_2$ + $ \phi_1\tilde{q}_2\tilde{q}_3$ | 0.5876 | 0.6839 | 0.8592 | [X:[], M:[1.274], q:[0.8185, 1.1815, 0.4555], qb:[0.4555, 0.8185, 0.8185], phi:[0.363]] | t^2.73 + 8*t^3.82 + t^4.91 + t^5.47 - 9*t^6. - t^4.09/y - t^4.09*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 |
|---|---|---|---|---|---|---|---|---|---|
| 41 | SU2adj1nf2 | $M_1\phi_1^2$ | 0.7003 | 0.8367 | 0.837 | [X:[], M:[1.0907], q:[0.5454, 0.5454], qb:[0.5454, 0.5454], phi:[0.4546]] | 7*t^3.27 + 10*t^4.64 - 16*t^6. - t^4.36/y - t^4.36*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55442 | SU2adj1nf3 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ | 0.865 | 1.0573 | 0.8182 | [X:[], M:[0.8356], q:[0.7089, 0.5925, 0.5925], qb:[0.5925, 0.5925, 0.5925], phi:[0.5822]] | t^2.51 + 10*t^3.55 + 5*t^3.9 + t^5.01 + 15*t^5.3 - 25*t^6. - t^4.75/y - t^4.75*y | detail |