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 |
|---|---|---|---|---|---|---|---|---|---|
| 8804 | 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$ + $ 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]] | [X:[[4]], M:[[-28], [8], [-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$, $ M_4$, $ \phi_1^4$, $ M_1$, $ \phi_1q_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$, $ M_4q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1M_3$, $ M_1M_4$, $ M_1\phi_1^4$, $ M_1^2$, $ \phi_1q_1^2q_2^2$, $ M_3\phi_1q_1q_2$, $ M_4\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^3q_1q_2^3$ | -1 | 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. + 2*t^6.15 + t^6.3 + 3*t^6.61 + 2*t^6.93 + 6*t^7.08 + 9*t^7.23 + 14*t^7.38 + 7*t^7.53 + 2*t^7.55 + 3*t^7.67 + 2*t^7.7 + t^7.82 + 6*t^7.84 + t^8.31 - 3*t^8.46 + 2*t^8.61 + 2*t^8.76 + 2*t^8.78 + t^8.9 - 4*t^8.93 + t^8.46/y^2 - t^8.93/y^2 - t^3.61/y - t^4.84/y - t^5.93/y - (3*t^6.07)/y - t^6.22/y - t^6.54/y - (3*t^7.3)/y - t^7.45/y + (2*t^7.77)/y + (4*t^7.92)/y + (3*t^8.07)/y + t^8.39/y - (6*t^8.53)/y - (3*t^8.68)/y - t^8.83/y - t^8.85/y - t^3.61*y - t^4.84*y - t^5.93*y - 3*t^6.07*y - t^6.22*y - t^6.54*y - 3*t^7.3*y - t^7.45*y + 2*t^7.77*y + 4*t^7.92*y + 3*t^8.07*y + t^8.39*y - 6*t^8.53*y - 3*t^8.68*y - t^8.83*y - t^8.85*y + t^8.46*y^2 - t^8.93*y^2 | g1^12*t^2.31 + (3*t^2.46)/g1^8 + t^2.61/g1^28 + g1^10*t^2.93 + t^3.69/g1^12 + g1^6*t^4.16 + 2*g1^24*t^4.62 + 4*g1^4*t^4.77 + (7*t^4.92)/g1^16 + (3*t^5.07)/g1^36 + t^5.21/g1^56 + g1^22*t^5.24 + 3*g1^2*t^5.39 + g1^20*t^5.85 - t^6. + (2*t^6.15)/g1^20 + t^6.3/g1^40 + (3*t^6.61)/g1^2 + 2*g1^36*t^6.93 + 6*g1^16*t^7.08 + (9*t^7.23)/g1^4 + (14*t^7.38)/g1^24 + (7*t^7.53)/g1^44 + 2*g1^34*t^7.55 + (3*t^7.67)/g1^64 + 2*g1^14*t^7.7 + t^7.82/g1^84 + (6*t^7.84)/g1^6 + g1^12*t^8.31 - (3*t^8.46)/g1^8 + (2*t^8.61)/g1^28 + (2*t^8.76)/g1^48 + 2*g1^30*t^8.78 + t^8.9/g1^68 - 4*g1^10*t^8.93 + t^8.46/(g1^8*y^2) - (g1^10*t^8.93)/y^2 - t^3.61/(g1^2*y) - t^4.84/(g1^6*y) - (g1^10*t^5.93)/y - (3*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) + (2*g1^4*t^7.77)/y + (4*t^7.92)/(g1^16*y) + (3*t^8.07)/(g1^36*y) + (g1^2*t^8.39)/y - (6*t^8.53)/(g1^18*y) - (3*t^8.68)/(g1^38*y) - t^8.83/(g1^58*y) - (g1^20*t^8.85)/y - (t^3.61*y)/g1^2 - (t^4.84*y)/g1^6 - g1^10*t^5.93*y - (3*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 + 2*g1^4*t^7.77*y + (4*t^7.92*y)/g1^16 + (3*t^8.07*y)/g1^36 + g1^2*t^8.39*y - (6*t^8.53*y)/g1^18 - (3*t^8.68*y)/g1^38 - (t^8.83*y)/g1^58 - g1^20*t^8.85*y + (t^8.46*y^2)/g1^8 - g1^10*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 8911 | $\phi_1^2X_1$ + $ 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$ + $ M_5\phi_1q_1q_2$ | 1.1474 | 1.3085 | 0.8769 | [X:[1.5936], M:[0.8451, 1.1871, 0.8129, 0.8129, 1.0161], q:[0.4758, 0.3048], qb:[], phi:[0.2032]] | t^2.34 + 3*t^2.44 + t^2.54 + t^3.05 + t^3.66 + t^4.17 + 2*t^4.68 + 4*t^4.78 + 7*t^4.88 + 3*t^4.97 + t^5.07 + t^5.39 + 2*t^5.49 + t^5.58 - t^6. - t^3.61/y - t^4.83/y - t^5.95/y - t^3.61*y - t^4.83*y - t^5.95*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^3.62/y - t^4.85/y - t^5.91/y - t^3.62*y - t^4.85*y - t^5.91*y | detail |