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 |
|---|---|---|---|---|---|---|---|---|---|
| 8880 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ | 1.1554 | 1.2874 | 0.8975 | [X:[1.6224], M:[1.1328, 1.056, 0.944, 0.8321, 0.944], q:[0.3776, 0.4896], qb:[], phi:[0.1888]] | [X:[[2]], M:[[-6], [5], [-5], [-15], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_4$, $ M_3$, $ M_5$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_4\phi_1^4$, $ X_1$, $ M_4^2$, $ M_3\phi_1^4$, $ M_5\phi_1^4$, $ M_3M_4$, $ M_4M_5$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_1\phi_1^4$, $ M_1M_4$ | $\phi_1^6q_1q_2$ | -1 | t^2.27 + t^2.5 + 2*t^2.83 + t^3.4 + t^3.73 + t^3.96 + t^4.3 + t^4.53 + t^4.64 + t^4.76 + t^4.87 + t^4.99 + 2*t^5.1 + 2*t^5.33 + 3*t^5.66 + t^5.89 - t^6. + 3*t^6.23 - t^6.34 + t^6.46 + 2*t^6.57 + 4*t^6.8 + t^7.03 + 4*t^7.13 + t^7.26 + 3*t^7.36 + t^7.47 + t^7.49 + 2*t^7.59 + 2*t^7.7 + 2*t^7.82 + 4*t^7.93 + 3*t^8.16 + 2*t^8.27 + t^8.39 + 3*t^8.5 + 3*t^8.73 - 4*t^8.83 + t^8.94 + t^8.96 + t^8.27/y^2 - t^8.83/y^2 - t^3.57/y - t^4.7/y - t^5.83/y - t^6.06/y - (2*t^6.4)/y - (2*t^6.96)/y - t^7.2/y - (2*t^7.53)/y + t^7.76/y + t^8.33/y - t^8.56/y - t^8.89/y - t^3.57*y - t^4.7*y - t^5.83*y - t^6.06*y - 2*t^6.4*y - 2*t^6.96*y - t^7.2*y - 2*t^7.53*y + t^7.76*y + t^8.33*y - t^8.56*y - t^8.89*y + t^8.27*y^2 - t^8.83*y^2 | t^2.27/g1^4 + t^2.5/g1^15 + (2*t^2.83)/g1^5 + t^3.4/g1^6 + g1^4*t^3.73 + t^3.96/g1^7 + g1^3*t^4.3 + t^4.53/g1^8 + g1^13*t^4.64 + t^4.76/g1^19 + g1^2*t^4.87 + t^4.99/g1^30 + (2*t^5.1)/g1^9 + (2*t^5.33)/g1^20 + (3*t^5.66)/g1^10 + t^5.89/g1^21 - t^6. + (3*t^6.23)/g1^11 - g1^10*t^6.34 + t^6.46/g1^22 + (2*t^6.57)/g1 + (4*t^6.8)/g1^12 + t^7.03/g1^23 + (4*t^7.13)/g1^2 + t^7.26/g1^34 + (3*t^7.36)/g1^13 + g1^8*t^7.47 + t^7.49/g1^45 + (2*t^7.59)/g1^24 + (2*t^7.7)/g1^3 + (2*t^7.82)/g1^35 + (4*t^7.93)/g1^14 + (3*t^8.16)/g1^25 + (2*t^8.27)/g1^4 + t^8.39/g1^36 + (3*t^8.5)/g1^15 + (3*t^8.73)/g1^26 - (4*t^8.83)/g1^5 + g1^16*t^8.94 + t^8.96/g1^37 + t^8.27/(g1^4*y^2) - t^8.83/(g1^5*y^2) - t^3.57/(g1*y) - t^4.7/(g1^3*y) - t^5.83/(g1^5*y) - t^6.06/(g1^16*y) - (2*t^6.4)/(g1^6*y) - (2*t^6.96)/(g1^7*y) - t^7.2/(g1^18*y) - (2*t^7.53)/(g1^8*y) + t^7.76/(g1^19*y) + t^8.33/(g1^20*y) - t^8.56/(g1^31*y) - t^8.89/(g1^21*y) - (t^3.57*y)/g1 - (t^4.7*y)/g1^3 - (t^5.83*y)/g1^5 - (t^6.06*y)/g1^16 - (2*t^6.4*y)/g1^6 - (2*t^6.96*y)/g1^7 - (t^7.2*y)/g1^18 - (2*t^7.53*y)/g1^8 + (t^7.76*y)/g1^19 + (t^8.33*y)/g1^20 - (t^8.56*y)/g1^31 - (t^8.89*y)/g1^21 + (t^8.27*y^2)/g1^4 - (t^8.83*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 9008 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ + $ M_6\phi_1^3q_1^2$ | 1.1762 | 1.3283 | 0.8855 | [X:[1.6221], M:[1.1337, 1.0553, 0.9447, 0.8341, 0.9447, 0.6774], q:[0.3779, 0.4885], qb:[], phi:[0.1889]] | t^2.03 + t^2.27 + t^2.5 + 2*t^2.83 + t^3.4 + t^3.73 + t^4.06 + 2*t^4.3 + 2*t^4.53 + t^4.63 + t^4.77 + 3*t^4.87 + t^5. + 2*t^5.1 + 2*t^5.34 + t^5.43 + 3*t^5.67 + t^5.76 + t^5.9 - t^6. - t^3.57/y - t^4.7/y - t^5.6/y - t^5.83/y - t^3.57*y - t^4.7*y - t^5.6*y - t^5.83*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8774 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ | 1.1506 | 1.2786 | 0.8999 | [X:[1.6194], M:[1.1419, 1.0484, 0.9516, 0.8548], q:[0.3806, 0.4774], qb:[], phi:[0.1903]] | t^2.28 + t^2.56 + t^2.85 + t^3.15 + t^3.43 + t^3.72 + t^4. + t^4.29 + t^4.57 + t^4.58 + t^4.85 + t^4.86 + t^5.13 + t^5.14 + t^5.42 + t^5.43 + 2*t^5.71 + t^5.99 - t^3.57/y - t^4.71/y - t^5.85/y - t^3.57*y - t^4.71*y - t^5.85*y | detail |