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 |
|---|---|---|---|---|---|---|---|---|---|
| 8772 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[2]], M:[[-6], [5], [-5], [5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ M_4$, $ \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_2\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^5q_2^2$ | $\phi_1^6q_1q_2$ | -1 | 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. + 2*t^6.1 + 2*t^6.2 + t^6.3 + 2*t^6.59 + 3*t^6.69 + t^6.79 + t^7.08 + 3*t^7.18 + 2*t^7.28 + 3*t^7.38 + t^7.48 + 2*t^7.77 + 3*t^7.87 + t^7.97 + t^8.26 + 2*t^8.36 + 3*t^8.46 + 3*t^8.56 + 2*t^8.66 - t^8.95 + t^8.36/y^2 - t^8.95/y^2 - t^3.59/y - t^4.77/y - t^5.95/y - (2*t^6.64)/y - t^6.74/y - (2*t^7.13)/y - (2*t^7.82)/y - t^7.92/y - (2*t^8.31)/y + (2*t^8.41)/y + t^8.51/y + t^8.9/y - t^3.59*y - t^4.77*y - t^5.95*y - 2*t^6.64*y - t^6.74*y - 2*t^7.13*y - 2*t^7.82*y - t^7.92*y - 2*t^8.31*y + 2*t^8.41*y + t^8.51*y + t^8.9*y + t^8.36*y^2 - t^8.95*y^2 | t^2.36/g1^4 + 2*g1^5*t^3.05 + g1^15*t^3.15 + t^3.54/g1^6 + g1^4*t^3.64 + t^4.13/g1^7 + g1^3*t^4.23 + g1^13*t^4.33 + t^4.72/g1^8 + g1^2*t^4.82 + 2*g1*t^5.41 + g1^11*t^5.51 - t^6. + 2*g1^10*t^6.1 + 2*g1^20*t^6.2 + g1^30*t^6.3 + (2*t^6.59)/g1 + 3*g1^9*t^6.69 + g1^19*t^6.79 + t^7.08/g1^12 + (3*t^7.18)/g1^2 + 2*g1^8*t^7.28 + 3*g1^18*t^7.38 + g1^28*t^7.48 + (2*t^7.77)/g1^3 + 3*g1^7*t^7.87 + g1^17*t^7.97 + t^8.26/g1^14 + (2*t^8.36)/g1^4 + 3*g1^6*t^8.46 + 3*g1^16*t^8.56 + 2*g1^26*t^8.66 - t^8.95/g1^5 + t^8.36/(g1^4*y^2) - t^8.95/(g1^5*y^2) - t^3.59/(g1*y) - t^4.77/(g1^3*y) - t^5.95/(g1^5*y) - (2*g1^4*t^6.64)/y - (g1^14*t^6.74)/y - (2*t^7.13)/(g1^7*y) - (2*g1^2*t^7.82)/y - (g1^12*t^7.92)/y - (2*t^8.31)/(g1^9*y) + (2*g1*t^8.41)/y + (g1^11*t^8.51)/y + t^8.9/(g1^10*y) - (t^3.59*y)/g1 - (t^4.77*y)/g1^3 - (t^5.95*y)/g1^5 - 2*g1^4*t^6.64*y - g1^14*t^6.74*y - (2*t^7.13*y)/g1^7 - 2*g1^2*t^7.82*y - g1^12*t^7.92*y - (2*t^8.31*y)/g1^9 + 2*g1*t^8.41*y + g1^11*t^8.51*y + (t^8.9*y)/g1^10 + (t^8.36*y^2)/g1^4 - (t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 8884 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_3M_4$ + $ M_5\phi_1^2q_1q_2$ | 1.1558 | 1.2905 | 0.8957 | [X:[1.6083], M:[1.1751, 1.0208, 0.9792, 1.0208, 0.7834], q:[0.3917, 0.4332], qb:[], phi:[0.1958]] | 2*t^2.35 + 2*t^3.06 + t^3.19 + t^3.53 + t^4.11 + t^4.24 + t^4.36 + 3*t^4.7 + t^4.82 + 4*t^5.41 + 2*t^5.54 + t^5.88 - 2*t^6. - t^3.59/y - t^4.76/y - (2*t^5.94)/y - t^3.59*y - t^4.76*y - 2*t^5.94*y | detail | |
| 8883 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_3M_4$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9207 | 0.9784 | 0.941 | [X:[1.6923, 1.3846], M:[0.9231, 1.2308, 0.7692, 1.2308], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | t^2.77 + t^3.23 + 2*t^3.69 + 2*t^4.15 + t^5.08 - t^6. - t^3.46/y - t^4.38/y - t^3.46*y - t^4.38*y | detail | {a: 8091/8788, c: 4299/4394, X1: 22/13, X2: 18/13, M1: 12/13, M2: 16/13, M3: 10/13, M4: 16/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |