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 |
|---|---|---|---|---|---|---|---|---|---|
| 8484 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1982 | 1.3478 | 0.889 | [X:[1.6476], M:[0.8405, 0.881, 0.7048], q:[0.4916, 0.4511], qb:[], phi:[0.1762]] | [X:[[0, 2]], M:[[2, -11], [0, -5], [0, -4]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^4$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1q_2$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ M_1\phi_1q_2^2$ | . | -2 | 2*t^2.11 + t^2.52 + t^2.64 + t^2.83 + t^3.24 + 3*t^4.23 + t^4.29 + t^4.41 + t^4.54 + 2*t^4.64 + 2*t^4.76 + 3*t^4.94 + t^5.04 + t^5.16 + t^5.29 + 3*t^5.35 + t^5.47 + t^5.66 + t^5.76 - 2*t^6. + t^6.06 - t^6.12 + 4*t^6.34 + t^6.41 + t^6.47 + t^6.53 + t^6.65 + 3*t^6.75 + t^6.81 + 3*t^6.87 + t^6.94 + 6*t^7.06 + t^7.12 + 2*t^7.16 + t^7.24 + 2*t^7.28 + t^7.36 + 2*t^7.4 + 5*t^7.46 + t^7.53 + t^7.56 + 2*t^7.59 + t^7.65 + t^7.69 - t^7.71 + 3*t^7.77 + t^7.81 + 3*t^7.87 + t^7.93 + t^7.99 - 2*t^8.11 + 3*t^8.18 - 2*t^8.24 + t^8.28 - t^8.42 + 5*t^8.46 + t^8.48 - t^8.52 + 4*t^8.59 - 5*t^8.64 + t^8.71 - 2*t^8.83 + 4*t^8.86 + t^8.89 + t^8.93 + 5*t^8.99 + t^8.11/y^2 - (2*t^8.64)/y^2 - t^3.53/y - t^4.59/y - (2*t^5.64)/y - t^6.05/y - t^6.17/y - t^6.36/y - (2*t^6.7)/y - t^6.76/y - t^7.11/y + (2*t^7.64)/y - t^7.76/y - t^7.82/y + (2*t^7.94)/y - t^8.16/y - (2*t^8.29)/y + (3*t^8.35)/y - t^8.57/y - t^8.69/y + t^8.76/y - (4*t^8.81)/y - (2*t^8.88)/y - t^3.53*y - t^4.59*y - 2*t^5.64*y - t^6.05*y - t^6.17*y - t^6.36*y - 2*t^6.7*y - t^6.76*y - t^7.11*y + 2*t^7.64*y - t^7.76*y - t^7.82*y + 2*t^7.94*y - t^8.16*y - 2*t^8.29*y + 3*t^8.35*y - t^8.57*y - t^8.69*y + t^8.76*y - 4*t^8.81*y - 2*t^8.88*y + t^8.11*y^2 - 2*t^8.64*y^2 | (2*t^2.11)/g2^4 + (g1^2*t^2.52)/g2^11 + t^2.64/g2^5 + g2^6*t^2.83 + (g1^2*t^3.24)/g2 + (3*t^4.23)/g2^8 + (g1^2*t^4.29)/g2^3 + g2^3*t^4.41 + (g2^9*t^4.54)/g1^2 + (2*g1^2*t^4.64)/g2^15 + (2*t^4.76)/g2^9 + 3*g2^2*t^4.94 + (g1^4*t^5.04)/g2^22 + (g1^2*t^5.16)/g2^16 + t^5.29/g2^10 + (3*g1^2*t^5.35)/g2^5 + g2*t^5.47 + g2^12*t^5.66 + (g1^4*t^5.76)/g2^12 - 2*t^6. + g1^2*g2^5*t^6.06 - (g2^6*t^6.12)/g1^2 + (4*t^6.34)/g2^12 + (g1^2*t^6.41)/g2^7 + (g1^4*t^6.47)/g2^2 + t^6.53/g2 + (g2^5*t^6.65)/g1^2 + (3*g1^2*t^6.75)/g2^19 + (g1^4*t^6.81)/g2^14 + (3*t^6.87)/g2^13 + (g1^2*t^6.94)/g2^8 + (6*t^7.06)/g2^2 + g1^2*g2^3*t^7.12 + (2*g1^4*t^7.16)/g2^26 + g2^9*t^7.24 + (2*g1^2*t^7.28)/g2^20 + (g2^15*t^7.36)/g1^2 + (2*t^7.4)/g2^14 + (5*g1^2*t^7.46)/g2^9 + (g1^4*t^7.53)/g2^4 + (g1^6*t^7.56)/g2^33 + (2*t^7.59)/g2^3 + g1^2*g2^2*t^7.65 + (g1^4*t^7.69)/g2^27 - (g2^3*t^7.71)/g1^2 + 3*g2^8*t^7.77 + (g1^2*t^7.81)/g2^21 + (3*g1^4*t^7.87)/g2^16 + t^7.93/g2^15 + (g1^2*t^7.99)/g2^10 - (2*t^8.11)/g2^4 + 3*g1^2*g2*t^8.18 - (2*g2^2*t^8.24)/g1^2 + (g1^6*t^8.28)/g2^23 - (g2^13*t^8.42)/g1^2 + (5*t^8.46)/g2^16 + g2^18*t^8.48 - (g1^2*t^8.52)/g2^11 + (4*g1^4*t^8.59)/g2^6 - (5*t^8.64)/g2^5 + g1^2*t^8.71 - 2*g2^6*t^8.83 + (4*g1^2*t^8.86)/g2^23 + g1^2*g2^11*t^8.89 + (g1^4*t^8.93)/g2^18 + (4*t^8.99)/g2^17 + (g1^6*t^8.99)/g2^13 + t^8.11/(g2^4*y^2) - (2*t^8.64)/(g2^5*y^2) - t^3.53/(g2*y) - t^4.59/(g2^3*y) - (2*t^5.64)/(g2^5*y) - (g1^2*t^6.05)/(g2^12*y) - t^6.17/(g2^6*y) - (g2^5*t^6.36)/y - (2*t^6.7)/(g2^7*y) - (g1^2*t^6.76)/(g2^2*y) - (g1^2*t^7.11)/(g2^14*y) + (2*g1^2*t^7.64)/(g2^15*y) - t^7.76/(g2^9*y) - (g1^2*t^7.82)/(g2^4*y) + (2*g2^2*t^7.94)/y - (g1^2*t^8.16)/(g2^16*y) - (2*t^8.29)/(g2^10*y) + (3*g1^2*t^8.35)/(g2^5*y) - (g1^4*t^8.57)/(g2^23*y) - (g1^2*t^8.69)/(g2^17*y) + (g1^4*t^8.76)/(g2^12*y) - (4*t^8.81)/(g2^11*y) - (2*g1^2*t^8.88)/(g2^6*y) - (t^3.53*y)/g2 - (t^4.59*y)/g2^3 - (2*t^5.64*y)/g2^5 - (g1^2*t^6.05*y)/g2^12 - (t^6.17*y)/g2^6 - g2^5*t^6.36*y - (2*t^6.7*y)/g2^7 - (g1^2*t^6.76*y)/g2^2 - (g1^2*t^7.11*y)/g2^14 + (2*g1^2*t^7.64*y)/g2^15 - (t^7.76*y)/g2^9 - (g1^2*t^7.82*y)/g2^4 + 2*g2^2*t^7.94*y - (g1^2*t^8.16*y)/g2^16 - (2*t^8.29*y)/g2^10 + (3*g1^2*t^8.35*y)/g2^5 - (g1^4*t^8.57*y)/g2^23 - (g1^2*t^8.69*y)/g2^17 + (g1^4*t^8.76*y)/g2^12 - (4*t^8.81*y)/g2^11 - (2*g1^2*t^8.88*y)/g2^6 + (t^8.11*y^2)/g2^4 - (2*t^8.64*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8671 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ + $ M_2^2$ | 1.1721 | 1.325 | 0.8846 | [X:[1.6], M:[0.9546, 1.0, 0.8], q:[0.4227, 0.3773], qb:[], phi:[0.2]] | 3*t^2.4 + 2*t^2.86 + t^3. + t^4.06 + t^4.2 + t^4.34 + 7*t^4.8 + 6*t^5.26 + 3*t^5.4 + 3*t^5.73 + t^5.86 - t^6. - t^3.6/y - t^4.8/y - (3*t^6.)/y - t^3.6*y - t^4.8*y - 3*t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. - t^3.53/y - t^4.59/y - t^5.66/y - t^3.53*y - t^4.59*y - t^5.66*y | detail |