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 |
|---|---|---|---|---|---|---|---|---|---|
| 3464 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6M_7$ | 0.6055 | 0.7749 | 0.7813 | [X:[], M:[1.0, 1.0141, 0.9717, 1.0141, 0.7535, 0.7394, 1.2606], q:[0.7535, 0.2465], qb:[0.5071, 0.5212], phi:[0.4929]] | [X:[], M:[[0], [4], [-8], [4], [1], [-3], [3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ M_7$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_3$ | . | -3 | 2*t^2.26 + t^2.3 + t^2.92 + t^3. + 2*t^3.04 + 2*t^3.78 + t^3.82 + 4*t^4.52 + 3*t^4.56 + 2*t^4.61 + t^5.18 + 2*t^5.26 + 5*t^5.3 + 2*t^5.35 + t^5.83 + t^5.92 - 3*t^6. + 4*t^6.04 + 6*t^6.08 + t^6.13 - t^6.65 - 2*t^6.74 + 4*t^6.78 + 8*t^6.82 + 6*t^6.87 + 2*t^6.91 + t^7.44 - 3*t^7.48 + 10*t^7.56 + 8*t^7.61 + 4*t^7.65 + t^8.09 + t^8.18 - 2*t^8.22 - 9*t^8.26 + 2*t^8.3 + 11*t^8.35 + 8*t^8.39 + 2*t^8.43 + t^8.75 + t^8.83 + t^8.87 - 3*t^8.92 - t^8.96 - t^4.48/y - t^6.74/y - t^7.39/y + t^7.44/y + (3*t^7.56)/y + (2*t^8.18)/y + (2*t^8.22)/y + (2*t^8.26)/y + (5*t^8.3)/y + (2*t^8.35)/y + t^8.92/y + (2*t^8.96)/y - t^4.48*y - t^6.74*y - t^7.39*y + t^7.44*y + 3*t^7.56*y + 2*t^8.18*y + 2*t^8.22*y + 2*t^8.26*y + 5*t^8.3*y + 2*t^8.35*y + t^8.92*y + 2*t^8.96*y | 2*g1*t^2.26 + g1^5*t^2.3 + t^2.92/g1^8 + t^3. + 2*g1^4*t^3.04 + 2*g1^3*t^3.78 + g1^7*t^3.82 + 4*g1^2*t^4.52 + 3*g1^6*t^4.56 + 2*g1^10*t^4.61 + t^5.18/g1^7 + 2*g1*t^5.26 + 5*g1^5*t^5.3 + 2*g1^9*t^5.35 + t^5.83/g1^16 + t^5.92/g1^8 - 3*t^6. + 4*g1^4*t^6.04 + 6*g1^8*t^6.08 + g1^12*t^6.13 - t^6.65/g1^9 - (2*t^6.74)/g1 + 4*g1^3*t^6.78 + 8*g1^7*t^6.82 + 6*g1^11*t^6.87 + 2*g1^15*t^6.91 + t^7.44/g1^6 - (3*t^7.48)/g1^2 + 10*g1^6*t^7.56 + 8*g1^10*t^7.61 + 4*g1^14*t^7.65 + t^8.09/g1^15 + t^8.18/g1^7 - (2*t^8.22)/g1^3 - 9*g1*t^8.26 + 2*g1^5*t^8.3 + 11*g1^9*t^8.35 + 8*g1^13*t^8.39 + 2*g1^17*t^8.43 + t^8.75/g1^24 + t^8.83/g1^16 + t^8.87/g1^12 - (3*t^8.92)/g1^8 - t^8.96/g1^4 - t^4.48/(g1^2*y) - t^6.74/(g1*y) - t^7.39/(g1^10*y) + t^7.44/(g1^6*y) + (3*g1^6*t^7.56)/y + (2*t^8.18)/(g1^7*y) + (2*t^8.22)/(g1^3*y) + (2*g1*t^8.26)/y + (5*g1^5*t^8.3)/y + (2*g1^9*t^8.35)/y + t^8.92/(g1^8*y) + (2*t^8.96)/(g1^4*y) - (t^4.48*y)/g1^2 - (t^6.74*y)/g1 - (t^7.39*y)/g1^10 + (t^7.44*y)/g1^6 + 3*g1^6*t^7.56*y + (2*t^8.18*y)/g1^7 + (2*t^8.22*y)/g1^3 + 2*g1*t^8.26*y + 5*g1^5*t^8.3*y + 2*g1^9*t^8.35*y + (t^8.92*y)/g1^8 + (2*t^8.96*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5138 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.6256 | 0.8117 | 0.7707 | [X:[], M:[1.0, 1.0222, 0.9556, 1.0222, 0.7555, 0.7334, 1.2666, 0.7112], q:[0.7555, 0.2445], qb:[0.5111, 0.5333], phi:[0.4889]] | t^2.13 + 2*t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.07 + 2*t^3.8 + t^4.27 + 2*t^4.4 + t^4.47 + 4*t^4.53 + 3*t^4.6 + 2*t^4.67 + t^5. + 2*t^5.13 + 2*t^5.2 + 2*t^5.27 + 5*t^5.33 + 2*t^5.4 + t^5.73 + t^5.87 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2892 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.625 | 0.8101 | 0.7715 | [X:[], M:[1.0, 1.0193, 0.9615, 1.0193, 0.7548, 0.7356], q:[0.7548, 0.2452], qb:[0.5096, 0.5289], phi:[0.4904]] | t^2.21 + 2*t^2.26 + t^2.32 + t^2.88 + t^3. + 2*t^3.06 + t^3.79 + t^3.85 + t^4.41 + 2*t^4.47 + 5*t^4.53 + 3*t^4.59 + 2*t^4.64 + t^5.09 + t^5.15 + t^5.21 + 4*t^5.26 + 5*t^5.32 + 2*t^5.38 + t^5.77 + t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail |