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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[2]], M:[[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_1$, $ \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_1\phi_1^4$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1q_1q_2^3$ | $\phi_1^6q_1q_2$ | 0 | 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 + 2*t^6.11 + t^6.21 + t^6.32 + 2*t^6.59 + 2*t^6.7 + 2*t^6.8 + t^7.07 + 3*t^7.18 + 4*t^7.29 + 3*t^7.39 + t^7.5 + 2*t^7.77 + 3*t^7.88 + 3*t^7.98 + t^8.09 + t^8.25 + 2*t^8.36 + 2*t^8.46 + 4*t^8.57 + 3*t^8.68 + t^8.79 - 2*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 - t^6.05/y - t^6.54/y - t^6.64/y - t^6.75/y - t^7.12/y - t^7.23/y - t^7.71/y - t^7.93/y + t^8.41/y + t^8.52/y + t^8.63/y - t^8.89/y - t^3.59*y - t^4.77*y - t^5.95*y - t^6.05*y - t^6.54*y - t^6.64*y - t^6.75*y - t^7.12*y - t^7.23*y - t^7.71*y - t^7.93*y + t^8.41*y + t^8.52*y + t^8.63*y - t^8.89*y + t^8.36*y^2 - t^8.95*y^2 | t^2.36/g1^4 + g1^6*t^2.46 + t^2.95/g1^5 + g1^5*t^3.05 + g1^15*t^3.16 + g1^4*t^3.64 + t^4.12/g1^7 + g1^3*t^4.23 + g1^13*t^4.34 + t^4.71/g1^8 + 2*g1^2*t^4.82 + g1^12*t^4.93 + t^5.3/g1^9 + 2*g1*t^5.41 + 2*g1^11*t^5.52 + g1^21*t^5.63 + 2*g1^10*t^6.11 + g1^20*t^6.21 + g1^30*t^6.32 + (2*t^6.59)/g1 + 2*g1^9*t^6.7 + 2*g1^19*t^6.8 + t^7.07/g1^12 + (3*t^7.18)/g1^2 + 4*g1^8*t^7.29 + 3*g1^18*t^7.39 + g1^28*t^7.5 + (2*t^7.77)/g1^3 + 3*g1^7*t^7.88 + 3*g1^17*t^7.98 + g1^27*t^8.09 + t^8.25/g1^14 + (2*t^8.36)/g1^4 + 2*g1^6*t^8.46 + 4*g1^16*t^8.57 + 3*g1^26*t^8.68 + g1^36*t^8.79 - (2*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) - (g1^5*t^6.05)/y - t^6.54/(g1^6*y) - (g1^4*t^6.64)/y - (g1^14*t^6.75)/y - t^7.12/(g1^7*y) - (g1^3*t^7.23)/y - t^7.71/(g1^8*y) - (g1^12*t^7.93)/y + (g1*t^8.41)/y + (g1^11*t^8.52)/y + (g1^21*t^8.63)/y - t^8.89/(g1^10*y) - (t^3.59*y)/g1 - (t^4.77*y)/g1^3 - (t^5.95*y)/g1^5 - g1^5*t^6.05*y - (t^6.54*y)/g1^6 - g1^4*t^6.64*y - g1^14*t^6.75*y - (t^7.12*y)/g1^7 - g1^3*t^7.23*y - (t^7.71*y)/g1^8 - g1^12*t^7.93*y + g1*t^8.41*y + g1^11*t^8.52*y + g1^21*t^8.63*y - (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 8650 | $\phi_1^2X_1$ + $ 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]] | 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. - 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 | |
| 8651 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ | 1.1634 | 1.3004 | 0.8947 | [X:[1.6163], M:[1.0408, 0.9592, 0.8775], q:[0.3837, 0.4654], qb:[], phi:[0.1918]] | t^2.3 + t^2.55 + t^2.63 + t^2.88 + t^3.12 + t^3.7 + t^4.03 + t^4.27 + t^4.52 + t^4.6 + 2*t^4.85 + t^4.93 + t^5.09 + 2*t^5.18 + t^5.26 + 2*t^5.42 + t^5.51 + t^5.67 + t^5.75 - t^3.58/y - t^4.73/y - t^5.88/y - t^3.58*y - t^4.73*y - t^5.88*y | detail | |
| 8652 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1727 | 1.3194 | 0.8888 | [X:[1.6087], M:[1.0219, 0.9781, 0.7825], q:[0.3913, 0.435], qb:[], phi:[0.1956]] | 2*t^2.35 + t^2.48 + t^2.93 + t^3.07 + t^3.2 + t^4.11 + t^4.24 + t^4.37 + 3*t^4.7 + 3*t^4.83 + t^4.96 + 2*t^5.28 + 3*t^5.41 + 3*t^5.54 + t^5.68 - t^6. - t^3.59/y - t^4.76/y - (2*t^5.93)/y - t^3.59*y - t^4.76*y - 2*t^5.93*y | detail | |
| 8644 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ + $ M_2X_3$ | 0.7188 | 0.7397 | 0.9718 | [X:[1.7333, 1.4667, 1.3333], M:[1.3333, 0.6667], q:[0.2667, 0.9333], qb:[], phi:[0.1333]] | t^2.8 + t^3.6 + t^4. + t^4.4 + t^5.6 - t^6. - t^3.4/y - t^4.2/y - t^3.4*y - t^4.2*y | detail | {a: 4313/6000, c: 2219/3000, X1: 26/15, X2: 22/15, X3: 4/3, M1: 4/3, M2: 2/3, q1: 4/15, q2: 14/15, phi1: 2/15} |
| 8645 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9318 | 0.9991 | 0.9326 | [X:[1.6923, 1.3846], M:[1.2308, 0.7692], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | t^2.31 + 2*t^3.23 + t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + t^5.54 - t^6. - 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: 16377/17576, c: 2195/2197, X1: 22/13, X2: 18/13, M1: 16/13, M2: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. - t^3.53/y - t^4.59/y - t^5.66/y - t^3.53*y - t^4.59*y - t^5.66*y | detail |