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 |
|---|---|---|---|---|---|---|---|---|---|
| 8438 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1738 | 1.3011 | 0.9021 | [X:[1.6588], M:[1.0235, 0.8153, 0.8529], q:[0.5071, 0.4695], qb:[], phi:[0.1706]] | [X:[[0, 2]], M:[[0, -6], [2, -11], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ M_2\phi_1^4$, $ \phi_1^3q_1^2$, $ M_3\phi_1^4$, $ M_2^2$, $ X_1$, $ M_2M_3$, $ M_3^2$, $ M_1\phi_1^4$, $ \phi_1^5q_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_2\phi_1q_2^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.05 + t^2.45 + t^2.56 + t^3.07 + t^3.33 + t^3.95 + t^4.09 + t^4.35 + t^4.46 + t^4.49 + t^4.58 + t^4.61 + t^4.89 + t^4.98 + t^5. + 2*t^5.12 + t^5.38 + t^5.52 + t^5.63 + t^5.77 - t^6. - t^6.11 + 2*t^6.14 + 2*t^6.4 + t^6.51 + t^6.54 + t^6.65 + t^6.66 + t^6.8 + t^6.91 + t^6.94 + 3*t^7.02 + t^7.05 + 2*t^7.16 + t^7.28 + t^7.34 + 2*t^7.42 + t^7.45 + t^7.54 + 2*t^7.56 + 3*t^7.68 + t^7.79 + t^7.82 + t^7.91 + t^7.96 + t^8.05 + t^8.07 - t^8.16 + 3*t^8.19 + t^8.22 + t^8.31 - 3*t^8.56 + 2*t^8.59 - t^8.67 + 4*t^8.7 + t^8.82 + 2*t^8.84 + t^8.93 - t^8.96 + t^8.99 + t^8.05/y^2 - t^8.56/y^2 - t^8.96/y^2 - t^3.51/y - t^4.54/y - t^5.56/y - t^5.96/y - t^6.07/y - (2*t^6.58)/y - t^6.84/y - t^6.98/y - t^7.09/y + t^7.49/y - t^7.61/y - t^7.86/y + t^8.38/y - t^8.4/y - (2*t^8.63)/y + t^8.77/y - t^3.51*y - t^4.54*y - t^5.56*y - t^5.96*y - t^6.07*y - 2*t^6.58*y - t^6.84*y - t^6.98*y - t^7.09*y + t^7.49*y - t^7.61*y - t^7.86*y + t^8.38*y - t^8.4*y - 2*t^8.63*y + t^8.77*y + t^8.05*y^2 - t^8.56*y^2 - t^8.96*y^2 | t^2.05/g2^4 + (g1^2*t^2.45)/g2^11 + t^2.56/g2^5 + t^3.07/g2^6 + (g1^2*t^3.33)/g2 + g2^4*t^3.95 + t^4.09/g2^8 + (g1^2*t^4.35)/g2^3 + g2^3*t^4.46 + (g1^2*t^4.49)/g2^15 + (g2^9*t^4.58)/g1^2 + t^4.61/g2^9 + (g1^4*t^4.89)/g2^22 + g2^2*t^4.98 + (g1^2*t^5.)/g2^16 + (2*t^5.12)/g2^10 + (g1^2*t^5.38)/g2^5 + (g1^2*t^5.52)/g2^17 + t^5.63/g2^11 + (g1^4*t^5.77)/g2^12 - t^6. - (g2^6*t^6.11)/g1^2 + (2*t^6.14)/g2^12 + (2*g1^2*t^6.4)/g2^7 + t^6.51/g2 + (g1^2*t^6.54)/g2^19 + t^6.65/g2^13 + (g1^4*t^6.66)/g2^2 + (g1^4*t^6.8)/g2^14 + (g1^2*t^6.91)/g2^8 + (g1^4*t^6.94)/g2^26 + (3*t^7.02)/g2^2 + (g1^2*t^7.05)/g2^20 + (2*t^7.16)/g2^14 + g1^2*g2^3*t^7.28 + (g1^6*t^7.34)/g2^33 + (2*g1^2*t^7.42)/g2^9 + (g1^4*t^7.45)/g2^27 + t^7.54/g2^3 + (2*g1^2*t^7.56)/g2^21 + (2*t^7.68)/g2^15 + (g1^4*t^7.68)/g2^4 + g1^2*g2^2*t^7.79 + (g1^4*t^7.82)/g2^16 + g2^8*t^7.91 + (g1^4*t^7.96)/g2^28 + t^8.05/g2^4 + (g1^2*t^8.07)/g2^22 - (g2^2*t^8.16)/g1^2 + (3*t^8.19)/g2^16 + (g1^6*t^8.22)/g2^23 + g1^2*g2*t^8.31 - (3*t^8.56)/g2^5 + (2*g1^2*t^8.59)/g2^23 - (g2*t^8.67)/g1^2 + (2*t^8.7)/g2^17 + (2*g1^4*t^8.7)/g2^6 + g1^2*t^8.82 + (2*g1^4*t^8.84)/g2^18 + g2^6*t^8.93 - (g1^2*t^8.96)/g2^12 + (g1^4*t^8.99)/g2^30 + t^8.05/(g2^4*y^2) - t^8.56/(g2^5*y^2) - (g1^2*t^8.96)/(g2^12*y^2) - t^3.51/(g2*y) - t^4.54/(g2^3*y) - t^5.56/(g2^5*y) - (g1^2*t^5.96)/(g2^12*y) - t^6.07/(g2^6*y) - (2*t^6.58)/(g2^7*y) - (g1^2*t^6.84)/(g2^2*y) - (g1^2*t^6.98)/(g2^14*y) - t^7.09/(g2^8*y) + (g1^2*t^7.49)/(g2^15*y) - t^7.61/(g2^9*y) - (g1^2*t^7.86)/(g2^4*y) + (g1^2*t^8.38)/(g2^5*y) - (g1^4*t^8.4)/(g2^23*y) - (2*t^8.63)/(g2^11*y) + (g1^4*t^8.77)/(g2^12*y) - (t^3.51*y)/g2 - (t^4.54*y)/g2^3 - (t^5.56*y)/g2^5 - (g1^2*t^5.96*y)/g2^12 - (t^6.07*y)/g2^6 - (2*t^6.58*y)/g2^7 - (g1^2*t^6.84*y)/g2^2 - (g1^2*t^6.98*y)/g2^14 - (t^7.09*y)/g2^8 + (g1^2*t^7.49*y)/g2^15 - (t^7.61*y)/g2^9 - (g1^2*t^7.86*y)/g2^4 + (g1^2*t^8.38*y)/g2^5 - (g1^4*t^8.4*y)/g2^23 - (2*t^8.63*y)/g2^11 + (g1^4*t^8.77*y)/g2^12 + (t^8.05*y^2)/g2^4 - (t^8.56*y^2)/g2^5 - (g1^2*t^8.96*y^2)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8613 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 - 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 | |
| 8610 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.0886 | 1.2063 | 0.9025 | [X:[1.5817], M:[1.2548, 1.1634, 1.0457], q:[0.3137, 0.4315], qb:[], phi:[0.2091]] | t^2.51 + t^3.14 + t^3.22 + 2*t^3.49 + 2*t^3.76 + t^4.12 + t^4.47 + t^4.75 + t^5.02 + t^5.73 - t^3.63/y - t^4.88/y - t^3.63*y - t^4.88*y | detail | |
| 8612 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2^2$ | 1.1511 | 1.2712 | 0.9055 | [X:[1.6313], M:[1.106, 1.0, 0.9217], q:[0.4078, 0.4862], qb:[], phi:[0.1843]] | t^2.21 + t^2.76 + t^3. + t^3.32 + t^3.47 + t^3.79 + t^4.11 + t^4.34 + t^4.42 + t^4.58 + t^4.89 + t^4.98 + t^5.21 + 2*t^5.53 + t^5.68 - t^3.55/y - t^4.66/y - t^5.76/y - t^3.55*y - t^4.66*y - t^5.76*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8219 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1618 | 1.2816 | 0.9065 | [X:[1.649], M:[1.0529, 0.8372], q:[0.4937, 0.4535], qb:[], phi:[0.1755]] | t^2.11 + t^2.51 + t^3.16 + t^3.25 + t^3.37 + t^3.89 + t^4.21 + t^4.3 + t^4.42 + t^4.54 + t^4.62 + t^4.95 + t^5.02 + t^5.26 + t^5.35 + t^5.47 + t^5.67 + t^5.76 - t^6. - t^3.53/y - t^4.58/y - t^5.63/y - t^3.53*y - t^4.58*y - t^5.63*y | detail |