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 |
|---|---|---|---|---|---|---|---|---|---|
| 8767 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ | 1.116 | 1.2523 | 0.8912 | [X:[1.5904], M:[1.2289, 1.1807, 0.8674, 0.8193], q:[0.3072, 0.4639], qb:[], phi:[0.2048]] | [X:[[4]], M:[[-12], [8], [-28], [-8]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^4$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_4^2$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_3M_4$, $ M_3\phi_1^4$, $ M_3^2$, $ M_4\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $M_4\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$ | 0 | 2*t^2.46 + t^2.6 + t^2.93 + t^3.54 + 2*t^3.69 + t^4.16 + t^4.63 + t^4.77 + 3*t^4.92 + 2*t^5.06 + t^5.2 + 2*t^5.39 + t^5.86 + 4*t^6.14 + 2*t^6.29 + 3*t^6.61 + 2*t^7.08 + 3*t^7.23 + 7*t^7.37 + 3*t^7.52 + t^7.55 + 2*t^7.66 + t^7.81 + 4*t^7.84 + 3*t^8.31 + t^8.46 + 4*t^8.6 + 4*t^8.75 + 2*t^8.78 + 2*t^8.89 - 2*t^8.93 + t^8.46/y^2 - t^3.61/y - t^4.84/y - (2*t^6.07)/y - t^6.22/y - t^6.54/y - (3*t^7.3)/y - t^7.45/y - t^7.77/y + t^7.92/y + (2*t^8.06)/y + (2*t^8.39)/y - (3*t^8.53)/y - (2*t^8.67)/y - t^8.82/y - t^3.61*y - t^4.84*y - 2*t^6.07*y - t^6.22*y - t^6.54*y - 3*t^7.3*y - t^7.45*y - t^7.77*y + t^7.92*y + 2*t^8.06*y + 2*t^8.39*y - 3*t^8.53*y - 2*t^8.67*y - t^8.82*y + t^8.46*y^2 | (2*t^2.46)/g1^8 + t^2.6/g1^28 + g1^10*t^2.93 + g1^8*t^3.54 + (2*t^3.69)/g1^12 + g1^6*t^4.16 + g1^24*t^4.63 + g1^4*t^4.77 + (3*t^4.92)/g1^16 + (2*t^5.06)/g1^36 + t^5.2/g1^56 + 2*g1^2*t^5.39 + g1^20*t^5.86 + (4*t^6.14)/g1^20 + (2*t^6.29)/g1^40 + (3*t^6.61)/g1^2 + 2*g1^16*t^7.08 + (3*t^7.23)/g1^4 + (7*t^7.37)/g1^24 + (3*t^7.52)/g1^44 + g1^34*t^7.55 + (2*t^7.66)/g1^64 + t^7.81/g1^84 + (4*t^7.84)/g1^6 + 3*g1^12*t^8.31 + t^8.46/g1^8 + (4*t^8.6)/g1^28 + (4*t^8.75)/g1^48 + 2*g1^30*t^8.78 + (2*t^8.89)/g1^68 - 2*g1^10*t^8.93 + t^8.46/(g1^8*y^2) - t^3.61/(g1^2*y) - t^4.84/(g1^6*y) - (2*t^6.07)/(g1^10*y) - t^6.22/(g1^30*y) - (g1^8*t^6.54)/y - (3*t^7.3)/(g1^14*y) - t^7.45/(g1^34*y) - (g1^4*t^7.77)/y + t^7.92/(g1^16*y) + (2*t^8.06)/(g1^36*y) + (2*g1^2*t^8.39)/y - (3*t^8.53)/(g1^18*y) - (2*t^8.67)/(g1^38*y) - t^8.82/(g1^58*y) - (t^3.61*y)/g1^2 - (t^4.84*y)/g1^6 - (2*t^6.07*y)/g1^10 - (t^6.22*y)/g1^30 - g1^8*t^6.54*y - (3*t^7.3*y)/g1^14 - (t^7.45*y)/g1^34 - g1^4*t^7.77*y + (t^7.92*y)/g1^16 + (2*t^8.06*y)/g1^36 + 2*g1^2*t^8.39*y - (3*t^8.53*y)/g1^18 - (2*t^8.67*y)/g1^38 - (t^8.82*y)/g1^58 + (t^8.46*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8885 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ + $ M_5\phi_1^2q_1q_2$ | 1.1314 | 1.2795 | 0.8842 | [X:[1.5924], M:[1.2228, 1.1848, 0.8531, 0.8152, 0.8152], q:[0.3057, 0.4716], qb:[], phi:[0.2038]] | 3*t^2.45 + t^2.56 + t^2.94 + 2*t^3.67 + t^4.17 + t^4.66 + t^4.78 + 6*t^4.89 + 3*t^5. + t^5.12 + 3*t^5.39 + t^5.89 - 2*t^6. - t^3.61/y - t^4.83/y - t^3.61*y - t^4.83*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8597 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1008 | 1.2258 | 0.898 | [X:[1.5882], M:[1.2353, 1.1765, 0.8824], q:[0.3088, 0.4559], qb:[], phi:[0.2059]] | t^2.47 + t^2.65 + t^2.91 + 2*t^3.53 + 2*t^3.71 + t^4.15 + t^4.59 + t^4.76 + t^4.94 + t^5.12 + t^5.29 + t^5.38 + t^5.82 - t^3.62/y - t^4.85/y - t^3.62*y - t^4.85*y | detail | {a: 20361/18496, c: 22673/18496, X1: 27/17, M1: 21/17, M2: 20/17, M3: 15/17, q1: 21/68, q2: 31/68, phi1: 7/34} |