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 |
|---|---|---|---|---|---|---|---|---|---|
| 8613 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | [X:[[2]], M:[[-6], [5], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ X_1$, $ M_3\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^5q_2^2$, $ M_3^2$, $ M_1\phi_1^4$ | $\phi_1^6q_1q_2$ | 0 | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 + t^6.15 + t^6.31 + t^6.43 + t^6.46 + 2*t^6.58 + 2*t^6.74 + t^6.89 + 2*t^7.02 + 3*t^7.17 + 2*t^7.32 + 2*t^7.48 + t^7.6 + t^7.63 + 2*t^7.75 + 2*t^7.91 + t^8.06 + 2*t^8.18 + 3*t^8.34 + 2*t^8.49 + 2*t^8.65 + t^8.77 + 2*t^8.8 - t^8.92 + t^8.34/y^2 - t^8.92/y^2 - t^3.58/y - t^4.75/y - t^5.92/y - t^6.51/y - t^6.66/y - t^6.82/y - (2*t^7.09)/y - t^7.68/y - t^7.83/y - t^7.98/y - t^8.26/y + t^8.42/y + t^8.57/y - t^3.58*y - t^4.75*y - t^5.92*y - t^6.51*y - t^6.66*y - t^6.82*y - 2*t^7.09*y - t^7.68*y - t^7.83*y - t^7.98*y - t^8.26*y + t^8.42*y + t^8.57*y + t^8.34*y^2 - t^8.92*y^2 | t^2.34/g1^4 + t^2.92/g1^5 + g1^5*t^3.08 + g1^15*t^3.23 + t^3.51/g1^6 + g1^4*t^3.66 + t^4.09/g1^7 + g1^3*t^4.25 + g1^13*t^4.4 + t^4.68/g1^8 + g1^2*t^4.83 + t^5.26/g1^9 + g1*t^5.42 + g1^11*t^5.57 + t^5.85/g1^10 + g1^10*t^6.15 + g1^20*t^6.31 + t^6.43/g1^11 + g1^30*t^6.46 + (2*t^6.58)/g1 + 2*g1^9*t^6.74 + g1^19*t^6.89 + (2*t^7.02)/g1^12 + (3*t^7.17)/g1^2 + 2*g1^8*t^7.32 + 2*g1^18*t^7.48 + t^7.6/g1^13 + g1^28*t^7.63 + (2*t^7.75)/g1^3 + 2*g1^7*t^7.91 + g1^17*t^8.06 + (2*t^8.18)/g1^14 + (3*t^8.34)/g1^4 + 2*g1^6*t^8.49 + 2*g1^16*t^8.65 + t^8.77/g1^15 + 2*g1^26*t^8.8 - t^8.92/g1^5 + 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) - t^6.51/(g1^6*y) - (g1^4*t^6.66)/y - (g1^14*t^6.82)/y - (2*t^7.09)/(g1^7*y) - t^7.68/(g1^8*y) - (g1^2*t^7.83)/y - (g1^12*t^7.98)/y - t^8.26/(g1^9*y) + (g1*t^8.42)/y + (g1^11*t^8.57)/y - (t^3.58*y)/g1 - (t^4.75*y)/g1^3 - (t^5.92*y)/g1^5 - (t^6.51*y)/g1^6 - g1^4*t^6.66*y - g1^14*t^6.82*y - (2*t^7.09*y)/g1^7 - (t^7.68*y)/g1^8 - g1^2*t^7.83*y - g1^12*t^7.98*y - (t^8.26*y)/g1^9 + g1*t^8.42*y + g1^11*t^8.57*y + (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 |
|---|---|---|---|---|---|---|---|---|
| 8773 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_2M_4$ | 1.1433 | 1.2661 | 0.903 | [X:[1.6139], M:[1.1583, 1.0347, 0.9653, 0.9653], q:[0.3861, 0.4556], qb:[], phi:[0.1931]] | t^2.32 + 2*t^2.9 + t^3.31 + t^3.47 + t^3.68 + t^4.05 + t^4.26 + t^4.47 + t^4.63 + t^4.84 + 2*t^5.21 + t^5.63 + 3*t^5.79 - t^6. - t^3.58/y - t^4.74/y - t^5.9/y - t^3.58*y - t^4.74*y - t^5.9*y | detail | |
| 8772 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_3M_4$ | 1.1385 | 1.2604 | 0.9033 | [X:[1.6066], M:[1.1801, 1.0166, 0.9834, 1.0166], q:[0.3934, 0.4266], qb:[], phi:[0.1967]] | t^2.36 + 2*t^3.05 + t^3.15 + t^3.54 + t^3.64 + t^4.13 + t^4.23 + t^4.33 + t^4.72 + t^4.82 + 2*t^5.41 + t^5.51 - t^6. - 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 | |
| 8774 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ | 1.1506 | 1.2786 | 0.8999 | [X:[1.6194], M:[1.1419, 1.0484, 0.9516, 0.8548], q:[0.3806, 0.4774], qb:[], phi:[0.1903]] | t^2.28 + t^2.56 + t^2.85 + t^3.15 + t^3.43 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + t^4.86 + t^5.13 + t^5.14 + t^5.42 + t^5.43 + 2*t^5.71 + t^5.99 - 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 | |
| 8775 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1582 | 1.2935 | 0.8954 | [X:[1.6119], M:[1.1644, 1.0296, 0.9704, 0.7763], q:[0.3881, 0.4474], qb:[], phi:[0.1941]] | 2*t^2.33 + t^2.91 + t^3.09 + t^3.27 + t^3.49 + t^4.08 + t^4.25 + t^4.43 + 3*t^4.66 + t^4.84 + 2*t^5.24 + 2*t^5.42 + 2*t^5.6 + 2*t^5.82 - 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 | |
| 8800 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_3X_3$ | 0.7353 | 0.7687 | 0.9566 | [X:[1.7333, 1.4667, 1.3333], M:[0.8, 1.3333, 0.6667], q:[0.2667, 0.9333], qb:[], phi:[0.1333]] | t^2.4 + t^2.8 + t^4. + t^4.4 + t^4.8 + t^5.2 + t^5.6 - t^6. - t^3.4/y - t^4.2/y - t^5.8/y - t^3.4*y - t^4.2*y - t^5.8*y | detail | {a: 1103/1500, c: 1153/1500, X1: 26/15, X2: 22/15, X3: 4/3, M1: 4/5, M2: 4/3, M3: 2/3, q1: 4/15, q2: 14/15, phi1: 2/15} |
| 8802 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9389 | 1.011 | 0.9287 | [X:[1.6923, 1.3846], M:[0.9231, 1.2308, 0.7692], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | t^2.31 + t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + t^4.62 + 2*t^5.08 + t^5.54 - t^3.46/y - t^4.38/y - t^5.77/y - t^3.46*y - t^4.38*y - t^5.77*y | detail | {a: 33003/35152, c: 17769/17576, X1: 22/13, X2: 18/13, M1: 12/13, M2: 16/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8438 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1738 | 1.3011 | 0.9021 | [X:[1.6588], M:[1.0235, 0.8153, 0.8529], q:[0.5071, 0.4695], qb:[], phi:[0.1706]] | t^2.05 + t^2.45 + t^2.56 + t^3.07 + t^3.33 + t^3.95 + t^4.09 + t^4.35 + t^4.46 + t^4.49 + t^4.58 + t^4.61 + t^4.89 + t^4.98 + t^5. + 2*t^5.12 + t^5.38 + t^5.52 + t^5.63 + t^5.77 - t^6. - t^3.51/y - t^4.54/y - t^5.56/y - t^5.96/y - t^3.51*y - t^4.54*y - t^5.56*y - t^5.96*y | detail |