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 |
|---|---|---|---|---|---|---|---|---|---|
| 8578 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[0, 2]], M:[[0, 4], [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 |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_3^2$, $ X_1$, $ M_3M_4$, $ M_4^2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1q_2^2$ | . | -2 | 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^6.11 + t^6.16 + 2*t^6.4 + t^6.51 - t^6.63 + t^6.64 + t^6.8 + t^6.91 + 3*t^7.03 + 2*t^7.27 + t^7.36 + t^7.43 + t^7.47 + t^7.54 + t^7.58 + t^7.67 + t^7.7 + t^7.78 + 3*t^7.9 + t^7.98 + 2*t^8.05 + t^8.1 + t^8.21 + t^8.22 + 2*t^8.29 + t^8.41 - 2*t^8.45 + t^8.52 - 2*t^8.57 + t^8.61 - t^8.68 + t^8.69 + t^8.72 + t^8.81 + 2*t^8.85 + 2*t^8.92 - t^8.97 + t^8.05/y^2 - t^8.97/y^2 - t^3.51/y - t^4.54/y - t^5.97/y - t^6.08/y - t^6.59/y - t^6.83/y - t^6.99/y - t^7.1/y - t^7.46/y - t^7.62/y - t^7.86/y + t^8.02/y - t^8.42/y - t^8.49/y + t^8.77/y + t^8.89/y - t^3.51*y - t^4.54*y - t^5.97*y - t^6.08*y - t^6.59*y - t^6.83*y - t^6.99*y - t^7.1*y - t^7.46*y - t^7.62*y - t^7.86*y + t^8.02*y - t^8.42*y - t^8.49*y + t^8.77*y + t^8.89*y + t^8.05*y^2 - t^8.97*y^2 | (g1^2*t^2.45)/g2^11 + t^2.57/g2^5 + t^3.08/g2^6 + (g1^2*t^3.32)/g2 + 2*g2^4*t^3.95 + (g1^2*t^4.35)/g2^3 + g2^3*t^4.46 + (g2^9*t^4.57)/g1^2 + (g1^4*t^4.9)/g2^22 + g2^2*t^4.97 + (g1^2*t^5.02)/g2^16 + t^5.13/g2^10 + (g1^2*t^5.53)/g2^17 + t^5.64/g2^11 + (g1^4*t^5.77)/g2^12 - 2*t^6. - (g2^6*t^6.11)/g1^2 + t^6.16/g2^12 + (2*g1^2*t^6.4)/g2^7 + t^6.51/g2 - (g2^5*t^6.63)/g1^2 + (g1^4*t^6.64)/g2^2 + (g1^4*t^6.8)/g2^14 + (g1^2*t^6.91)/g2^8 + (3*t^7.03)/g2^2 + 2*g1^2*g2^3*t^7.27 + (g1^6*t^7.36)/g2^33 + (g1^2*t^7.43)/g2^9 + (g1^4*t^7.47)/g2^27 + t^7.54/g2^3 + (g1^2*t^7.58)/g2^21 + (g1^4*t^7.67)/g2^4 + t^7.7/g2^15 + g1^2*g2^2*t^7.78 + 3*g2^8*t^7.9 + (g1^4*t^7.98)/g2^28 + (2*t^8.05)/g2^4 + (g1^2*t^8.1)/g2^22 + t^8.21/g2^16 + (g1^6*t^8.22)/g2^23 + 2*g1^2*g2*t^8.29 + g2^7*t^8.41 - (2*g1^2*t^8.45)/g2^11 + (g2^13*t^8.52)/g1^2 - (2*t^8.57)/g2^5 + (g1^2*t^8.61)/g2^23 - (g2*t^8.68)/g1^2 + (g1^4*t^8.69)/g2^6 + t^8.72/g2^17 + g1^2*t^8.81 + (2*g1^4*t^8.85)/g2^18 + 2*g2^6*t^8.92 - (g1^2*t^8.97)/g2^12 + t^8.05/(g2^4*y^2) - (g1^2*t^8.97)/(g2^12*y^2) - t^3.51/(g2*y) - t^4.54/(g2^3*y) - (g1^2*t^5.97)/(g2^12*y) - t^6.08/(g2^6*y) - t^6.59/(g2^7*y) - (g1^2*t^6.83)/(g2^2*y) - (g1^2*t^6.99)/(g2^14*y) - t^7.1/(g2^8*y) - (g2^3*t^7.46)/y - t^7.62/(g2^9*y) - (g1^2*t^7.86)/(g2^4*y) + (g1^2*t^8.02)/(g2^16*y) - (g1^4*t^8.42)/(g2^23*y) - (g2*t^8.49)/y + (g1^4*t^8.77)/(g2^12*y) + (g1^2*t^8.89)/(g2^6*y) - (t^3.51*y)/g2 - (t^4.54*y)/g2^3 - (g1^2*t^5.97*y)/g2^12 - (t^6.08*y)/g2^6 - (t^6.59*y)/g2^7 - (g1^2*t^6.83*y)/g2^2 - (g1^2*t^6.99*y)/g2^14 - (t^7.1*y)/g2^8 - g2^3*t^7.46*y - (t^7.62*y)/g2^9 - (g1^2*t^7.86*y)/g2^4 + (g1^2*t^8.02*y)/g2^16 - (g1^4*t^8.42*y)/g2^23 - g2*t^8.49*y + (g1^4*t^8.77*y)/g2^12 + (g1^2*t^8.89*y)/g2^6 + (t^8.05*y^2)/g2^4 - (g1^2*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 8753 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ | 1.1229 | 1.2316 | 0.9117 | [X:[1.6086], M:[1.2172, 1.1743, 1.0214, 0.9786], q:[0.3914, 0.4343], qb:[], phi:[0.1957]] | t^2.94 + t^3.06 + t^3.19 + t^3.52 + 2*t^3.65 + t^4.11 + t^4.24 + t^4.37 + t^4.83 - t^6. - t^3.59/y - t^4.76/y - t^3.59*y - t^4.76*y | detail | |
| 8752 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3^2$ | 1.1317 | 1.2361 | 0.9155 | [X:[1.6286], M:[1.2573, 1.1141, 1.0, 0.9284], q:[0.4072, 0.4788], qb:[], phi:[0.1857]] | t^2.79 + t^3. + t^3.34 + t^3.43 + 2*t^3.77 + t^4.11 + t^4.33 + t^4.54 + t^4.89 + t^5.57 - t^6. - t^3.56/y - t^4.67/y - t^3.56*y - t^4.67*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.53/y - t^4.59/y - t^3.53*y - t^4.59*y | detail |