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 |
|---|---|---|---|---|---|---|---|---|---|
| 8650 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ | 1.1573 | 1.2912 | 0.8963 | [X:[1.6106], M:[1.0265, 0.9735, 0.9735], q:[0.3894, 0.4424], qb:[], phi:[0.1947]] | [X:[[2]], M:[[5], [-5], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ X_1$, $ q_1^2q_2^2$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1q_1q_2^3$, $ M_2^2$, $ M_2M_3$, $ M_3^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.34 + t^2.5 + 2*t^2.92 + t^3.24 + t^3.66 + t^4.09 + t^4.25 + t^4.41 + t^4.67 + 2*t^4.83 + t^4.99 + 2*t^5.26 + 2*t^5.42 + t^5.58 + t^5.73 + 2*t^5.84 - t^6. + 2*t^6.16 + t^6.48 + 3*t^6.58 + t^6.74 + 2*t^6.9 + 2*t^7.01 + 3*t^7.17 + 4*t^7.33 + 2*t^7.49 + t^7.59 + t^7.65 + 3*t^7.75 + 2*t^7.91 + 2*t^8.07 + 3*t^8.18 + t^8.23 + 3*t^8.34 + t^8.5 + 3*t^8.65 + 2*t^8.76 + 2*t^8.81 - 3*t^8.92 + t^8.97 + t^8.34/y^2 - t^8.92/y^2 - t^3.58/y - t^4.75/y - t^5.92/y - t^6.08/y - (2*t^6.5)/y - t^6.82/y - t^7.09/y - t^7.25/y - (2*t^7.67)/y + t^7.83/y - t^7.99/y + t^8.26/y + t^8.42/y + t^8.73/y - t^8.84/y - t^3.58*y - t^4.75*y - t^5.92*y - t^6.08*y - 2*t^6.5*y - t^6.82*y - t^7.09*y - t^7.25*y - 2*t^7.67*y + t^7.83*y - t^7.99*y + t^8.26*y + t^8.42*y + t^8.73*y - t^8.84*y + t^8.34*y^2 - t^8.92*y^2 | t^2.34/g1^4 + g1^6*t^2.5 + (2*t^2.92)/g1^5 + g1^15*t^3.24 + g1^4*t^3.66 + t^4.09/g1^7 + g1^3*t^4.25 + g1^13*t^4.41 + t^4.67/g1^8 + 2*g1^2*t^4.83 + g1^12*t^4.99 + (2*t^5.26)/g1^9 + 2*g1*t^5.42 + g1^11*t^5.58 + g1^21*t^5.73 + (2*t^5.84)/g1^10 - t^6. + 2*g1^10*t^6.16 + g1^30*t^6.48 + (3*t^6.58)/g1 + g1^9*t^6.74 + 2*g1^19*t^6.9 + (2*t^7.01)/g1^12 + (3*t^7.17)/g1^2 + 4*g1^8*t^7.33 + 2*g1^18*t^7.49 + t^7.59/g1^13 + g1^28*t^7.65 + (3*t^7.75)/g1^3 + 2*g1^7*t^7.91 + 2*g1^17*t^8.07 + (3*t^8.18)/g1^14 + g1^27*t^8.23 + (3*t^8.34)/g1^4 + g1^6*t^8.5 + 3*g1^16*t^8.65 + (2*t^8.76)/g1^15 + 2*g1^26*t^8.81 - (3*t^8.92)/g1^5 + g1^36*t^8.97 + t^8.34/(g1^4*y^2) - t^8.92/(g1^5*y^2) - t^3.58/(g1*y) - t^4.75/(g1^3*y) - t^5.92/(g1^5*y) - (g1^5*t^6.08)/y - (2*t^6.5)/(g1^6*y) - (g1^14*t^6.82)/y - t^7.09/(g1^7*y) - (g1^3*t^7.25)/y - (2*t^7.67)/(g1^8*y) + (g1^2*t^7.83)/y - (g1^12*t^7.99)/y + t^8.26/(g1^9*y) + (g1*t^8.42)/y + (g1^21*t^8.73)/y - t^8.84/(g1^10*y) - (t^3.58*y)/g1 - (t^4.75*y)/g1^3 - (t^5.92*y)/g1^5 - g1^5*t^6.08*y - (2*t^6.5*y)/g1^6 - g1^14*t^6.82*y - (t^7.09*y)/g1^7 - g1^3*t^7.25*y - (2*t^7.67*y)/g1^8 + g1^2*t^7.83*y - g1^12*t^7.99*y + (t^8.26*y)/g1^9 + g1*t^8.42*y + g1^21*t^8.73*y - (t^8.84*y)/g1^10 + (t^8.34*y^2)/g1^4 - (t^8.92*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8817 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 1.1676 | 1.3075 | 0.893 | [X:[1.6193], M:[1.0484, 0.9516, 0.9516, 0.8549], q:[0.3807, 0.4774], qb:[], phi:[0.1903]] | t^2.28 + t^2.56 + t^2.57 + 2*t^2.85 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + 2*t^4.86 + t^5.13 + 3*t^5.14 + t^5.15 + 2*t^5.42 + 2*t^5.43 + 2*t^5.71 - t^6. - t^3.57/y - t^4.71/y - t^5.85/y - t^3.57*y - t^4.71*y - t^5.85*y | detail | |
| 8818 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1751 | 1.3225 | 0.8886 | [X:[1.6121], M:[1.0304, 0.9696, 0.9696, 0.7757], q:[0.3879, 0.4486], qb:[], phi:[0.1939]] | 2*t^2.33 + t^2.51 + 2*t^2.91 + t^3.27 + t^4.07 + t^4.25 + t^4.44 + 3*t^4.65 + 3*t^4.84 + t^5.02 + 4*t^5.24 + 2*t^5.42 + 2*t^5.6 + t^5.78 + 2*t^5.82 - 2*t^6. - t^3.58/y - t^4.75/y - (2*t^5.91)/y - t^3.58*y - t^4.75*y - 2*t^5.91*y | detail | |
| 8833 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.95 | 1.0317 | 0.9208 | [X:[1.6923, 1.3846], M:[1.2308, 0.7692, 0.7692], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | 2*t^2.31 + 2*t^3.23 + 2*t^4.15 + 3*t^4.62 + t^5.08 + 3*t^5.54 - 2*t^6. - t^3.46/y - t^4.38/y - (2*t^5.77)/y - t^3.46*y - t^4.38*y - 2*t^5.77*y | detail | {a: 33393/35152, c: 18133/17576, X1: 22/13, X2: 18/13, M1: 16/13, M2: 10/13, M3: 10/13, q1: 4/13, q2: 10/13, phi1: 2/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8477 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ | 1.1553 | 1.2892 | 0.8961 | [X:[1.6072], M:[1.0179, 0.9821], q:[0.3928, 0.4286], qb:[], phi:[0.1964]] | t^2.36 + t^2.46 + t^2.95 + t^3.05 + t^3.16 + t^3.64 + t^4.12 + t^4.23 + t^4.34 + t^4.71 + 2*t^4.82 + t^4.93 + t^5.3 + 2*t^5.41 + 2*t^5.52 + t^5.63 - t^3.59/y - t^4.77/y - t^5.95/y - t^3.59*y - t^4.77*y - t^5.95*y | detail |