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 |
|---|---|---|---|---|---|---|---|---|---|
| 8636 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ | 1.1342 | 1.285 | 0.8827 | [X:[1.5881], M:[0.883, 1.1763, 0.8237], q:[0.4555, 0.3089], qb:[], phi:[0.2059]] | [X:[[4]], M:[[-28], [8], [-8]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_3$, $ \phi_1^4$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1M_3$, $ M_1\phi_1^4$, $ \phi_1q_1^2q_2^2$, $ M_1^2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $M_3\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$, $ \phi_1^3q_1q_2^3$ | 1 | t^2.29 + 2*t^2.47 + t^2.65 + t^2.91 + t^3.53 + t^3.71 + t^4.15 + 2*t^4.59 + 3*t^4.76 + 4*t^4.94 + 2*t^5.12 + t^5.2 + t^5.3 + 2*t^5.38 + 2*t^5.82 + t^6. + 2*t^6.18 + t^6.36 + t^6.44 + 2*t^6.62 + 2*t^6.88 + 5*t^7.06 + 6*t^7.24 + 7*t^7.41 + 2*t^7.5 + 4*t^7.59 + 2*t^7.68 + 2*t^7.77 + 3*t^7.85 + t^7.95 + 2*t^8.12 + 3*t^8.29 + 2*t^8.47 + 2*t^8.65 + 3*t^8.73 + 2*t^8.83 - 2*t^8.91 + t^8.47/y^2 - t^8.91/y^2 - t^3.62/y - t^4.85/y - t^5.91/y - (2*t^6.09)/y - t^6.27/y - t^6.53/y - t^7.15/y - (2*t^7.32)/y - t^7.5/y + t^7.76/y + (2*t^7.94)/y + (2*t^8.12)/y - (3*t^8.56)/y - (2*t^8.74)/y - t^8.92/y - t^3.62*y - t^4.85*y - t^5.91*y - 2*t^6.09*y - t^6.27*y - t^6.53*y - t^7.15*y - 2*t^7.32*y - t^7.5*y + t^7.76*y + 2*t^7.94*y + 2*t^8.12*y - 3*t^8.56*y - 2*t^8.74*y - t^8.92*y + t^8.47*y^2 - t^8.91*y^2 | g1^12*t^2.29 + (2*t^2.47)/g1^8 + t^2.65/g1^28 + g1^10*t^2.91 + g1^8*t^3.53 + t^3.71/g1^12 + g1^6*t^4.15 + 2*g1^24*t^4.59 + 3*g1^4*t^4.76 + (4*t^4.94)/g1^16 + (2*t^5.12)/g1^36 + g1^22*t^5.2 + t^5.3/g1^56 + 2*g1^2*t^5.38 + 2*g1^20*t^5.82 + t^6. + (2*t^6.18)/g1^20 + t^6.36/g1^40 + g1^18*t^6.44 + (2*t^6.62)/g1^2 + 2*g1^36*t^6.88 + 5*g1^16*t^7.06 + (6*t^7.24)/g1^4 + (7*t^7.41)/g1^24 + 2*g1^34*t^7.5 + (4*t^7.59)/g1^44 + 2*g1^14*t^7.68 + (2*t^7.77)/g1^64 + (3*t^7.85)/g1^6 + t^7.95/g1^84 + 2*g1^32*t^8.12 + 3*g1^12*t^8.29 + (2*t^8.47)/g1^8 + (2*t^8.65)/g1^28 + 3*g1^30*t^8.73 + (2*t^8.83)/g1^48 - 2*g1^10*t^8.91 + t^8.47/(g1^8*y^2) - (g1^10*t^8.91)/y^2 - t^3.62/(g1^2*y) - t^4.85/(g1^6*y) - (g1^10*t^5.91)/y - (2*t^6.09)/(g1^10*y) - t^6.27/(g1^30*y) - (g1^8*t^6.53)/y - (g1^6*t^7.15)/y - (2*t^7.32)/(g1^14*y) - t^7.5/(g1^34*y) + (g1^4*t^7.76)/y + (2*t^7.94)/(g1^16*y) + (2*t^8.12)/(g1^36*y) - (3*t^8.56)/(g1^18*y) - (2*t^8.74)/(g1^38*y) - t^8.92/(g1^58*y) - (t^3.62*y)/g1^2 - (t^4.85*y)/g1^6 - g1^10*t^5.91*y - (2*t^6.09*y)/g1^10 - (t^6.27*y)/g1^30 - g1^8*t^6.53*y - g1^6*t^7.15*y - (2*t^7.32*y)/g1^14 - (t^7.5*y)/g1^34 + g1^4*t^7.76*y + (2*t^7.94*y)/g1^16 + (2*t^8.12*y)/g1^36 - (3*t^8.56*y)/g1^18 - (2*t^8.74*y)/g1^38 - (t^8.92*y)/g1^58 + (t^8.47*y^2)/g1^8 - g1^10*t^8.91*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8803 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1q_1q_2$ | 1.1319 | 1.2811 | 0.8835 | [X:[1.5916], M:[0.8585, 1.1833, 0.8167, 1.0209], q:[0.4687, 0.3063], qb:[], phi:[0.2042]] | t^2.32 + 2*t^2.45 + t^2.58 + t^3.06 + t^3.55 + t^3.68 + t^4.16 + 2*t^4.65 + 3*t^4.77 + 4*t^4.9 + 2*t^5.03 + t^5.15 + t^5.39 + t^5.51 + t^5.64 + t^5.87 + t^6. - t^3.61/y - t^4.84/y - t^5.94/y - t^3.61*y - t^4.84*y - t^5.94*y | detail | |
| 8804 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1493 | 1.3112 | 0.8765 | [X:[1.5901], M:[0.8691, 1.1803, 0.8197, 0.8197], q:[0.463, 0.3074], qb:[], phi:[0.2049]] | t^2.31 + 3*t^2.46 + t^2.61 + t^2.93 + t^3.69 + t^4.16 + 2*t^4.62 + 4*t^4.77 + 7*t^4.92 + 3*t^5.07 + t^5.21 + t^5.24 + 3*t^5.39 + t^5.85 - t^6. - t^3.61/y - t^4.84/y - t^5.93/y - t^3.61*y - t^4.84*y - t^5.93*y | detail | |
| 8805 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^3q_2^2$ | 1.1528 | 1.3187 | 0.8741 | [X:[1.5861], M:[0.8971, 1.1722, 0.8278, 0.7584], q:[0.448, 0.3104], qb:[], phi:[0.2069]] | 2*t^2.28 + 2*t^2.48 + t^2.69 + t^2.9 + t^3.52 + t^4.14 + 4*t^4.55 + 5*t^4.76 + 5*t^4.97 + 4*t^5.17 + 3*t^5.38 + 3*t^5.79 - t^3.62/y - t^4.86/y - (2*t^5.9)/y - t^3.62*y - t^4.86*y - 2*t^5.9*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8471 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1194 | 1.2595 | 0.8888 | [X:[1.5861], M:[0.8976, 1.1721], q:[0.4477, 0.3105], qb:[], phi:[0.207]] | t^2.27 + t^2.48 + t^2.69 + t^2.9 + 2*t^3.52 + t^3.73 + t^4.14 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + t^5.17 + t^5.18 + t^5.38 + t^5.39 + 3*t^5.79 + t^6. - t^3.62/y - t^4.86/y - t^5.9/y - t^3.62*y - t^4.86*y - t^5.9*y | detail |