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 |
|---|---|---|---|---|---|---|---|---|---|
| 4137 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_3M_7$ + $ M_2M_8$ | 0.6815 | 0.8555 | 0.7967 | [X:[], M:[1.015, 1.0723, 1.1596, 0.8404, 0.6958, 0.985, 0.8404, 0.9277], q:[0.7681, 0.5362], qb:[0.4488, 0.3915], phi:[0.4638]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-13], [-5], [4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_7$, $ M_8$, $ \phi_1^2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_5M_8$, $ M_5\phi_1^2$, $ M_4^2$, $ M_5M_6$, $ M_4M_7$, $ M_7^2$, $ M_4M_8$, $ M_7M_8$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_4M_6$, $ M_6M_7$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_6M_8$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6^2$ | $M_5q_1q_2$ | -2 | t^2.09 + 2*t^2.52 + 2*t^2.78 + t^2.96 + t^3.65 + t^3.74 + t^3.91 + t^4.08 + 2*t^4.17 + t^4.35 + 3*t^4.61 + 2*t^4.87 + 4*t^5.04 + 4*t^5.3 + 2*t^5.48 + 2*t^5.57 + 2*t^5.74 + t^5.91 - 2*t^6. + 2*t^6.17 + 2*t^6.26 + 2*t^6.43 + 2*t^6.52 + 3*t^6.61 + 5*t^6.7 + 4*t^6.87 + t^6.96 + t^7.04 + 5*t^7.13 - t^7.22 + t^7.3 + 3*t^7.39 + t^7.48 + 5*t^7.56 + t^7.65 + t^7.74 + 6*t^7.83 + t^7.92 + 5*t^8. + t^8.09 + t^8.17 + 4*t^8.26 + 3*t^8.35 + 3*t^8.43 - 4*t^8.52 + 6*t^8.69 - t^8.78 + t^8.87 + t^8.96 - t^4.39/y - t^6.48/y - t^6.91/y - t^7.17/y + (3*t^7.61)/y + (3*t^7.87)/y + (2*t^8.04)/y + (5*t^8.3)/y + (2*t^8.48)/y + (3*t^8.74)/y + t^8.83/y - t^4.39*y - t^6.48*y - t^6.91*y - t^7.17*y + 3*t^7.61*y + 3*t^7.87*y + 2*t^8.04*y + 5*t^8.3*y + 2*t^8.48*y + 3*t^8.74*y + t^8.83*y | g1^3*t^2.09 + (2*t^2.52)/g1^5 + 2*g1^4*t^2.78 + t^2.96/g1^13 + t^3.65/g1^12 + g1^14*t^3.74 + t^3.91/g1^3 + t^4.08/g1^20 + 2*g1^6*t^4.17 + t^4.35/g1^11 + (3*t^4.61)/g1^2 + 2*g1^7*t^4.87 + (4*t^5.04)/g1^10 + (4*t^5.3)/g1 + (2*t^5.48)/g1^18 + 2*g1^8*t^5.57 + (2*t^5.74)/g1^9 + t^5.91/g1^26 - 2*t^6. + (2*t^6.17)/g1^17 + 2*g1^9*t^6.26 + (2*t^6.43)/g1^8 + 2*g1^18*t^6.52 + (3*t^6.61)/g1^25 + 5*g1*t^6.7 + (4*t^6.87)/g1^16 + g1^10*t^6.96 + t^7.04/g1^33 + (5*t^7.13)/g1^7 - g1^19*t^7.22 + t^7.3/g1^24 + 3*g1^2*t^7.39 + g1^28*t^7.48 + (5*t^7.56)/g1^15 + g1^11*t^7.65 + t^7.74/g1^32 + (6*t^7.83)/g1^6 + g1^20*t^7.92 + (5*t^8.)/g1^23 + g1^3*t^8.09 + t^8.17/g1^40 + (4*t^8.26)/g1^14 + 3*g1^12*t^8.35 + (3*t^8.43)/g1^31 - (4*t^8.52)/g1^5 + (6*t^8.69)/g1^22 - g1^4*t^8.78 + t^8.87/g1^39 + t^8.96/g1^13 - (g1^2*t^4.39)/y - (g1^5*t^6.48)/y - t^6.91/(g1^3*y) - (g1^6*t^7.17)/y + (3*t^7.61)/(g1^2*y) + (3*g1^7*t^7.87)/y + (2*t^8.04)/(g1^10*y) + (5*t^8.3)/(g1*y) + (2*t^8.48)/(g1^18*y) + (3*t^8.74)/(g1^9*y) + (g1^17*t^8.83)/y - g1^2*t^4.39*y - g1^5*t^6.48*y - (t^6.91*y)/g1^3 - g1^6*t^7.17*y + (3*t^7.61*y)/g1^2 + 3*g1^7*t^7.87*y + (2*t^8.04*y)/g1^10 + (5*t^8.3*y)/g1 + (2*t^8.48*y)/g1^18 + (3*t^8.74*y)/g1^9 + g1^17*t^8.83*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5636 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_3M_7$ + $ M_2M_8$ + $ M_9q_1q_2$ | 0.7021 | 0.895 | 0.7845 | [X:[], M:[1.0132, 1.0729, 1.1589, 0.8411, 0.6953, 0.9868, 0.8411, 0.9271, 0.6953], q:[0.7682, 0.5364], qb:[0.4504, 0.3907], phi:[0.4636]] | 2*t^2.09 + 2*t^2.52 + 2*t^2.78 + t^2.96 + t^3.66 + t^3.73 + t^4.09 + 4*t^4.17 + t^4.35 + 5*t^4.61 + 4*t^4.87 + 5*t^5.05 + 4*t^5.3 + 2*t^5.48 + 2*t^5.56 + 3*t^5.74 + t^5.82 + t^5.92 - 3*t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2163 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_3M_7$ | 0.675 | 0.8455 | 0.7983 | [X:[], M:[1.0291, 1.068, 1.1651, 0.8349, 0.699, 0.9709, 0.8349], q:[0.767, 0.534], qb:[0.4369, 0.3981], phi:[0.466]] | t^2.1 + 2*t^2.5 + t^2.8 + t^2.91 + t^3.2 + t^3.61 + t^3.79 + t^3.9 + t^4.02 + 2*t^4.19 + t^4.31 + 3*t^4.6 + t^4.89 + 4*t^5.01 + 3*t^5.3 + 2*t^5.42 + 3*t^5.71 + t^5.83 - t^6. - t^4.4/y - t^4.4*y | detail |