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 |
---|---|---|---|---|---|---|---|---|---|
3275 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6295 | 0.7957 | 0.7912 | [X:[], M:[1.1587, 1.1138, 0.7725, 0.6825, 0.8862, 1.2275], q:[0.75, 0.4775], qb:[0.3638, 0.4087], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6], [1], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_6$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_4q_1q_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_2M_5$, $ M_6\tilde{q}_1\tilde{q}_2$ | 0 | t^2.05 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.82 + t^4.02 + t^4.1 + t^4.16 + 2*t^4.37 + t^4.63 + t^4.71 + t^4.98 + t^5.05 + 2*t^5.32 + t^5.39 + 2*t^5.52 + t^5.66 + 2*t^5.73 + t^5.79 + t^6.07 + 2*t^6.13 + t^6.14 + t^6.34 + 2*t^6.41 + 2*t^6.48 + 3*t^6.68 + t^6.75 + 2*t^6.82 + 3*t^6.95 + 3*t^7.02 + t^7.1 + 2*t^7.16 + t^7.29 + 4*t^7.37 + t^7.44 + t^7.5 + 2*t^7.57 + 2*t^7.63 + 2*t^7.71 + 2*t^7.78 + 2*t^7.84 + t^7.98 + 2*t^8.05 + t^8.11 + t^8.12 + t^8.18 + t^8.19 + 2*t^8.39 + t^8.45 + 2*t^8.46 + t^8.52 - 2*t^8.66 + 4*t^8.73 + 2*t^8.79 + t^8.8 - t^4.5/y - t^6.55/y + t^7.02/y + t^7.37/y + t^7.71/y + t^8.05/y + t^8.32/y + t^8.39/y + t^8.45/y + (2*t^8.52)/y - t^8.6/y + (2*t^8.66)/y + (2*t^8.73)/y + (2*t^8.79)/y + t^8.87/y - t^4.5*y - t^6.55*y + t^7.02*y + t^7.37*y + t^7.71*y + t^8.05*y + t^8.32*y + t^8.39*y + t^8.45*y + 2*t^8.52*y - t^8.6*y + 2*t^8.66*y + 2*t^8.73*y + 2*t^8.79*y + t^8.87*y | t^2.05/g1^6 + g1^2*t^2.32 + g1*t^2.66 + t^3. + t^3.34/g1 + 2*g1^3*t^3.48 + (2*t^3.68)/g1^2 + g1^2*t^3.82 + t^4.02/g1^3 + t^4.1/g1^12 + g1*t^4.16 + (2*t^4.37)/g1^4 + g1^4*t^4.63 + t^4.71/g1^5 + g1^3*t^4.98 + t^5.05/g1^6 + 2*g1^2*t^5.32 + t^5.39/g1^7 + (2*t^5.52)/g1^3 + g1*t^5.66 + (2*t^5.73)/g1^8 + g1^5*t^5.79 + t^6.07/g1^9 + 2*g1^4*t^6.13 + t^6.14/g1^18 + t^6.34/g1 + (2*t^6.41)/g1^10 + 2*g1^3*t^6.48 + (3*t^6.68)/g1^2 + t^6.75/g1^11 + 2*g1^2*t^6.82 + 3*g1^6*t^6.95 + (3*t^7.02)/g1^3 + t^7.1/g1^12 + 2*g1*t^7.16 + g1^5*t^7.29 + (4*t^7.37)/g1^4 + t^7.44/g1^13 + t^7.5 + (2*t^7.57)/g1^9 + 2*g1^4*t^7.63 + (2*t^7.71)/g1^5 + (2*t^7.78)/g1^14 + (2*t^7.84)/g1 + g1^3*t^7.98 + (2*t^8.05)/g1^6 + g1^7*t^8.11 + t^8.12/g1^15 + t^8.18/g1^2 + t^8.19/g1^24 + (2*t^8.39)/g1^7 + g1^6*t^8.45 + (2*t^8.46)/g1^16 + t^8.52/g1^3 - 2*g1*t^8.66 + (4*t^8.73)/g1^8 + 2*g1^5*t^8.79 + t^8.8/g1^17 - t^4.5/y - t^6.55/(g1^6*y) + t^7.02/(g1^3*y) + t^7.37/(g1^4*y) + t^7.71/(g1^5*y) + t^8.05/(g1^6*y) + (g1^2*t^8.32)/y + t^8.39/(g1^7*y) + (g1^6*t^8.45)/y + (2*t^8.52)/(g1^3*y) - t^8.6/(g1^12*y) + (2*g1*t^8.66)/y + (2*t^8.73)/(g1^8*y) + (2*g1^5*t^8.79)/y + t^8.87/(g1^4*y) - t^4.5*y - (t^6.55*y)/g1^6 + (t^7.02*y)/g1^3 + (t^7.37*y)/g1^4 + (t^7.71*y)/g1^5 + (t^8.05*y)/g1^6 + g1^2*t^8.32*y + (t^8.39*y)/g1^7 + g1^6*t^8.45*y + (2*t^8.52*y)/g1^3 - (t^8.6*y)/g1^12 + 2*g1*t^8.66*y + (2*t^8.73*y)/g1^8 + 2*g1^5*t^8.79*y + (t^8.87*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 |
---|---|---|---|---|---|---|---|---|
3707 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_2M_7$ | 0.6398 | 0.8129 | 0.7871 | [X:[], M:[1.1531, 1.1156, 0.7687, 0.6938, 0.8844, 1.2313, 0.8844], q:[0.75, 0.4813], qb:[0.3656, 0.4031], phi:[0.5]] | t^2.08 + t^2.31 + 2*t^2.65 + t^3. + 2*t^3.46 + 2*t^3.69 + t^3.81 + t^4.04 + t^4.15 + t^4.16 + 2*t^4.39 + t^4.61 + 2*t^4.73 + 2*t^4.96 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^5.65 + t^5.77 + 2*t^5.78 - t^6. - t^4.5/y - t^4.5*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2757 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6476 | 0.8279 | 0.7823 | [X:[], M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | t^2.09 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.46 + t^3.7 + t^3.8 + t^4.04 + t^4.15 + t^4.17 + 3*t^4.39 + 3*t^4.61 + t^4.74 + 2*t^4.96 + t^5.09 + 3*t^5.3 + t^5.44 + 2*t^5.54 + 2*t^5.65 + 3*t^5.76 + t^5.78 - t^4.5/y - t^4.5*y | detail |