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 |
|---|---|---|---|---|---|---|---|---|---|
| 8419 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1413 | 1.2432 | 0.9181 | [X:[1.6469], M:[1.2937, 1.0594, 0.8422], q:[0.4906, 0.4499], qb:[], phi:[0.1766]] | [X:[[0, 2]], M:[[0, 4], [0, -6], [2, -11]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_3^2$, $ M_2M_3$, $ M_3\phi_1q_2^2$ | . | -2 | t^2.53 + t^3.18 + t^3.23 + t^3.35 + 2*t^3.88 + t^4.29 + t^4.41 + t^4.53 + t^4.94 + t^5.05 + t^5.7 + t^5.76 - 2*t^6. - t^6.12 + t^6.36 + 2*t^6.41 + t^6.46 + t^6.58 - t^6.65 + t^6.7 + t^6.82 + 2*t^7.06 + 2*t^7.11 - t^7.18 + 2*t^7.23 + t^7.47 + t^7.52 + t^7.58 + 2*t^7.64 + 4*t^7.76 + t^7.88 + 2*t^8.12 + 2*t^8.17 + t^8.23 + t^8.28 + 2*t^8.29 + t^8.41 - 2*t^8.53 + t^8.58 + t^8.7 + 2*t^8.82 + t^8.88 + 2*t^8.93 + t^8.94 + t^8.99 + t^8.12/y^2 - t^3.53/y - t^4.59/y - t^6.06/y - t^6.71/y - t^6.76/y - t^6.88/y - t^7.12/y - t^7.41/y - t^7.77/y - t^7.82/y - t^7.94/y - t^8.47/y - t^8.58/y + t^8.7/y + t^8.76/y + t^8.88/y - t^3.53*y - t^4.59*y - t^6.06*y - t^6.71*y - t^6.76*y - t^6.88*y - t^7.12*y - t^7.41*y - t^7.77*y - t^7.82*y - t^7.94*y - t^8.47*y - t^8.58*y + t^8.7*y + t^8.76*y + t^8.88*y + t^8.12*y^2 | (g1^2*t^2.53)/g2^11 + t^3.18/g2^6 + (g1^2*t^3.23)/g2 + g2^5*t^3.35 + 2*g2^4*t^3.88 + (g1^2*t^4.29)/g2^3 + g2^3*t^4.41 + (g2^9*t^4.53)/g1^2 + g2^2*t^4.94 + (g1^4*t^5.05)/g2^22 + (g1^2*t^5.7)/g2^17 + (g1^4*t^5.76)/g2^12 - 2*t^6. - (g2^6*t^6.12)/g1^2 + t^6.36/g2^12 + (2*g1^2*t^6.41)/g2^7 + (g1^4*t^6.46)/g2^2 + g1^2*g2^4*t^6.58 - (g2^5*t^6.65)/g1^2 + g2^10*t^6.7 + (g1^4*t^6.82)/g2^14 + (2*t^7.06)/g2^2 + 2*g1^2*g2^3*t^7.11 - (g2^4*t^7.18)/g1^2 + 2*g2^9*t^7.23 + (g1^2*t^7.47)/g2^9 + (g1^4*t^7.52)/g2^4 + (g1^6*t^7.58)/g2^33 + 2*g1^2*g2^2*t^7.64 + 4*g2^8*t^7.76 + (g2^14*t^7.88)/g1^2 + (2*t^8.12)/g2^4 + 2*g1^2*g2*t^8.17 + (g1^4*t^8.23)/g2^28 + (g1^6*t^8.28)/g2^23 + 2*g2^7*t^8.29 + (g2^13*t^8.41)/g1^2 - (2*g1^2*t^8.53)/g2^11 + (g1^4*t^8.58)/g2^6 + g1^2*t^8.7 + 2*g2^6*t^8.82 + (g1^2*t^8.88)/g2^23 + (2*g1^4*t^8.93)/g2^18 + (g2^12*t^8.94)/g1^2 + (g1^6*t^8.99)/g2^13 + t^8.12/(g2^4*y^2) - t^3.53/(g2*y) - t^4.59/(g2^3*y) - (g1^2*t^6.06)/(g2^12*y) - t^6.71/(g2^7*y) - (g1^2*t^6.76)/(g2^2*y) - (g2^4*t^6.88)/y - (g1^2*t^7.12)/(g2^14*y) - (g2^3*t^7.41)/y - t^7.77/(g2^9*y) - (g1^2*t^7.82)/(g2^4*y) - (g2^2*t^7.94)/y - (g2*t^8.47)/y - (g1^4*t^8.58)/(g2^23*y) + (g1^2*t^8.7)/(g2^17*y) + (g1^4*t^8.76)/(g2^12*y) + (g1^2*t^8.88)/(g2^6*y) - (t^3.53*y)/g2 - (t^4.59*y)/g2^3 - (g1^2*t^6.06*y)/g2^12 - (t^6.71*y)/g2^7 - (g1^2*t^6.76*y)/g2^2 - g2^4*t^6.88*y - (g1^2*t^7.12*y)/g2^14 - g2^3*t^7.41*y - (t^7.77*y)/g2^9 - (g1^2*t^7.82*y)/g2^4 - g2^2*t^7.94*y - g2*t^8.47*y - (g1^4*t^8.58*y)/g2^23 + (g1^2*t^8.7*y)/g2^17 + (g1^4*t^8.76*y)/g2^12 + (g1^2*t^8.88*y)/g2^6 + (t^8.12*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8578 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ | 1.153 | 1.2606 | 0.9146 | [X:[1.6579], M:[1.3159, 1.0262, 0.8173, 0.8552], q:[0.5058, 0.468], qb:[], phi:[0.171]] | t^2.45 + t^2.57 + t^3.08 + t^3.32 + 2*t^3.95 + t^4.35 + t^4.46 + t^4.57 + t^4.9 + t^4.97 + t^5.02 + t^5.13 + t^5.53 + t^5.64 + t^5.77 - 2*t^6. - t^3.51/y - t^4.54/y - t^5.97/y - t^3.51*y - t^4.54*y - t^5.97*y | detail | |
| 8577 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_2^2$ | 1.1516 | 1.2567 | 0.9164 | [X:[1.6591], M:[1.3183, 1.0226, 0.8521, 0.8521], q:[0.4887, 0.4887], qb:[], phi:[0.1704]] | 2*t^2.56 + t^3.07 + t^3.44 + 2*t^3.95 + 3*t^4.47 + t^4.98 + 3*t^5.11 + 2*t^5.62 - 2*t^6. - t^3.51/y - t^4.53/y - t^3.51*y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8215 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ | 1.1302 | 1.2274 | 0.9208 | [X:[1.635], M:[1.27, 1.095], q:[0.4525, 0.4525], qb:[], phi:[0.1825]] | 3*t^3.26 + t^3.29 + 2*t^3.81 + 3*t^4.36 + t^4.9 - 4*t^6. - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*y | detail |