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 |
|---|---|---|---|---|---|---|---|---|---|
| 55224 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ + $ M_1M_6$ | 0.6223 | 0.8123 | 0.7661 | [X:[], M:[0.9601, 0.9601, 0.6794, 0.8804, 1.0399, 1.0399], q:[0.74, 0.2998], qb:[0.4801, 0.4003], phi:[0.5199]] | [X:[], M:[[4], [4], [-18], [12], [-4], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_1$, $ M_4M_5$, $ M_4M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.04 + t^2.1 + t^2.34 + 2*t^2.64 + 2*t^3.12 + t^3.42 + 2*t^3.66 + t^3.9 + t^4.08 + t^4.14 + 2*t^4.2 + t^4.38 + 2*t^4.44 + 3*t^4.68 + 2*t^4.74 + 2*t^4.98 + 2*t^5.16 + 2*t^5.22 + 3*t^5.28 + 2*t^5.46 + t^5.52 + t^5.7 + 5*t^5.76 + t^5.94 - t^6. + 2*t^6.06 + t^6.11 + t^6.18 + 3*t^6.24 + 4*t^6.3 + t^6.42 + 2*t^6.48 + 3*t^6.54 + 3*t^6.72 + 4*t^6.78 + 4*t^6.84 + 2*t^7.02 + 4*t^7.08 + 2*t^7.2 + t^7.26 + 7*t^7.32 + 3*t^7.38 + 2*t^7.5 + t^7.56 + 4*t^7.62 + t^7.74 + 4*t^7.8 + 4*t^7.86 + 4*t^7.92 + t^7.98 - 2*t^8.04 + 2*t^8.1 + t^8.15 + 2*t^8.16 + t^8.21 + 3*t^8.28 + 2*t^8.34 + 8*t^8.4 + t^8.45 + 2*t^8.52 + 2*t^8.58 - 2*t^8.64 + 3*t^8.7 + 3*t^8.76 + 2*t^8.82 + 5*t^8.88 + 6*t^8.94 - t^4.56/y - t^6.6/y + t^7.14/y - t^7.2/y + t^7.38/y + (2*t^7.44)/y + t^7.68/y + (2*t^7.74)/y + t^7.92/y + (2*t^7.98)/y + (2*t^8.16)/y + (2*t^8.22)/y + t^8.28/y + (3*t^8.46)/y + (2*t^8.52)/y - t^8.64/y + (2*t^8.7)/y + (7*t^8.76)/y + t^8.94/y - t^4.56*y - t^6.6*y + t^7.14*y - t^7.2*y + t^7.38*y + 2*t^7.44*y + t^7.68*y + 2*t^7.74*y + t^7.92*y + 2*t^7.98*y + 2*t^8.16*y + 2*t^8.22*y + t^8.28*y + 3*t^8.46*y + 2*t^8.52*y - t^8.64*y + 2*t^8.7*y + 7*t^8.76*y + t^8.94*y | t^2.04/g1^18 + g1^5*t^2.1 + t^2.34/g1^3 + 2*g1^12*t^2.64 + (2*t^3.12)/g1^4 + g1^11*t^3.42 + 2*g1^3*t^3.66 + t^3.9/g1^5 + t^4.08/g1^36 + t^4.14/g1^13 + 2*g1^10*t^4.2 + t^4.38/g1^21 + 2*g1^2*t^4.44 + (3*t^4.68)/g1^6 + 2*g1^17*t^4.74 + 2*g1^9*t^4.98 + (2*t^5.16)/g1^22 + 2*g1*t^5.22 + 3*g1^24*t^5.28 + (2*t^5.46)/g1^7 + g1^16*t^5.52 + t^5.7/g1^15 + 5*g1^8*t^5.76 + t^5.94/g1^23 - t^6. + 2*g1^23*t^6.06 + t^6.11/g1^54 + t^6.18/g1^31 + (3*t^6.24)/g1^8 + 4*g1^15*t^6.3 + t^6.42/g1^39 + (2*t^6.48)/g1^16 + 3*g1^7*t^6.54 + (3*t^6.72)/g1^24 + (4*t^6.78)/g1 + 4*g1^22*t^6.84 + (2*t^7.02)/g1^9 + 4*g1^14*t^7.08 + (2*t^7.2)/g1^40 + t^7.26/g1^17 + 7*g1^6*t^7.32 + 3*g1^29*t^7.38 + (2*t^7.5)/g1^25 + t^7.56/g1^2 + 4*g1^21*t^7.62 + t^7.74/g1^33 + (4*t^7.8)/g1^10 + 4*g1^13*t^7.86 + 4*g1^36*t^7.92 + t^7.98/g1^41 - (2*t^8.04)/g1^18 + 2*g1^5*t^8.1 + t^8.15/g1^72 + 2*g1^28*t^8.16 + t^8.21/g1^49 + (3*t^8.28)/g1^26 + (2*t^8.34)/g1^3 + 8*g1^20*t^8.4 + t^8.45/g1^57 + (2*t^8.52)/g1^34 + (2*t^8.58)/g1^11 - 2*g1^12*t^8.64 + 3*g1^35*t^8.7 + (3*t^8.76)/g1^42 + (2*t^8.82)/g1^19 + 5*g1^4*t^8.88 + 6*g1^27*t^8.94 - t^4.56/(g1^2*y) - t^6.6/(g1^20*y) + t^7.14/(g1^13*y) - (g1^10*t^7.2)/y + t^7.38/(g1^21*y) + (2*g1^2*t^7.44)/y + t^7.68/(g1^6*y) + (2*g1^17*t^7.74)/y + t^7.92/(g1^14*y) + (2*g1^9*t^7.98)/y + (2*t^8.16)/(g1^22*y) + (2*g1*t^8.22)/y + (g1^24*t^8.28)/y + (3*t^8.46)/(g1^7*y) + (2*g1^16*t^8.52)/y - t^8.64/(g1^38*y) + (2*t^8.7)/(g1^15*y) + (7*g1^8*t^8.76)/y + t^8.94/(g1^23*y) - (t^4.56*y)/g1^2 - (t^6.6*y)/g1^20 + (t^7.14*y)/g1^13 - g1^10*t^7.2*y + (t^7.38*y)/g1^21 + 2*g1^2*t^7.44*y + (t^7.68*y)/g1^6 + 2*g1^17*t^7.74*y + (t^7.92*y)/g1^14 + 2*g1^9*t^7.98*y + (2*t^8.16*y)/g1^22 + 2*g1*t^8.22*y + g1^24*t^8.28*y + (3*t^8.46*y)/g1^7 + 2*g1^16*t^8.52*y - (t^8.64*y)/g1^38 + (2*t^8.7*y)/g1^15 + 7*g1^8*t^8.76*y + (t^8.94*y)/g1^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56861 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_1$ | 0.64 | 0.8437 | 0.7585 | [X:[], M:[0.9614, 0.9614, 0.6735, 0.8843, 1.0386, 1.0386, 0.7789], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | t^2.02 + t^2.11 + 2*t^2.34 + 2*t^2.65 + 2*t^3.12 + t^3.43 + t^3.66 + t^3.89 + t^4.04 + t^4.13 + 2*t^4.21 + 2*t^4.36 + 3*t^4.44 + 5*t^4.67 + 2*t^4.76 + 4*t^4.99 + 2*t^5.14 + 2*t^5.22 + 3*t^5.31 + 4*t^5.45 + t^5.54 + 5*t^5.77 + t^5.92 - t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46988 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_2^2$ + $ M_2M_5$ | 0.6262 | 0.819 | 0.7645 | [X:[], M:[0.9571, 0.9571, 0.6932, 0.8712, 1.0429], q:[0.7393, 0.3037], qb:[0.4785, 0.3927], phi:[0.5215]] | t^2.08 + t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.4 + 2*t^3.65 + t^3.91 + t^4.16 + t^4.17 + 2*t^4.18 + t^4.43 + 2*t^4.44 + 3*t^4.69 + 2*t^4.7 + t^4.95 + 3*t^4.96 + t^5.21 + 2*t^5.22 + 3*t^5.23 + 4*t^5.48 + t^5.73 + 4*t^5.74 + t^5.99 - t^4.56/y - t^4.56*y | detail |