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 |
---|---|---|---|---|---|---|---|---|---|
47242 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ + $ M_4M_5$ | 0.6935 | 0.8487 | 0.8171 | [X:[], M:[0.9891, 1.0327, 0.9673, 0.9891, 1.0109], q:[0.5163, 0.4946], qb:[0.4728, 0.5381], phi:[0.4946]] | [X:[], M:[[-2], [6], [-6], [-2], [2]], q:[[3], [-1]], qb:[[-5], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$ | $M_1M_5$, $ M_5\phi_1^2$ | 0 | t^2.9 + 3*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + 2*t^4.52 + 2*t^4.58 + t^4.65 + t^4.71 + t^5.87 + 4*t^5.93 + t^6.07 + 2*t^6.13 + t^6.2 + t^6.26 + t^6.33 + t^7.22 + 3*t^7.29 + 2*t^7.35 + 4*t^7.42 + 4*t^7.48 + 4*t^7.55 + 3*t^7.61 + 4*t^7.68 + 2*t^7.74 + 2*t^7.81 + t^7.88 + t^8.64 + t^8.71 + t^8.77 + 2*t^8.84 + 5*t^8.9 - 3*t^8.97 - t^4.48/y - (2*t^7.45)/y + (2*t^7.52)/y + (3*t^8.87)/y + (4*t^8.93)/y - t^4.48*y - 2*t^7.45*y + 2*t^7.52*y + 3*t^8.87*y + 4*t^8.93*y | t^2.9/g1^6 + (3*t^2.97)/g1^2 + g1^2*t^3.03 + g1^6*t^3.1 + g1^10*t^3.16 + t^4.32/g1^11 + t^4.39/g1^7 + (2*t^4.45)/g1^3 + 2*g1*t^4.52 + 2*g1^5*t^4.58 + g1^9*t^4.65 + g1^13*t^4.71 + t^5.87/g1^8 + (4*t^5.93)/g1^4 + g1^4*t^6.07 + 2*g1^8*t^6.13 + g1^12*t^6.2 + g1^16*t^6.26 + g1^20*t^6.33 + t^7.22/g1^17 + (3*t^7.29)/g1^13 + (2*t^7.35)/g1^9 + (4*t^7.42)/g1^5 + (4*t^7.48)/g1 + 4*g1^3*t^7.55 + 3*g1^7*t^7.61 + 4*g1^11*t^7.68 + 2*g1^15*t^7.74 + 2*g1^19*t^7.81 + g1^23*t^7.88 + t^8.64/g1^22 + t^8.71/g1^18 + t^8.77/g1^14 + (2*t^8.84)/g1^10 + (5*t^8.9)/g1^6 - (3*t^8.97)/g1^2 - t^4.48/(g1*y) - (2*t^7.45)/(g1^3*y) + (2*g1*t^7.52)/y + (3*t^8.87)/(g1^8*y) + (4*t^8.93)/(g1^4*y) - (t^4.48*y)/g1 - (2*t^7.45*y)/g1^3 + 2*g1*t^7.52*y + (3*t^8.87*y)/g1^8 + (4*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
55575 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ | 0.6946 | 0.8505 | 0.8168 | [X:[], M:[0.9864, 1.0407, 0.9593, 0.9864, 1.0136, 0.9864], q:[0.5204, 0.4932], qb:[0.4661, 0.5475], phi:[0.4932]] | t^2.88 + 4*t^2.96 + t^3.12 + t^3.2 + t^4.28 + t^4.36 + 2*t^4.44 + 2*t^4.52 + 2*t^4.6 + t^4.68 + t^4.76 + 2*t^5.84 + 7*t^5.92 - 3*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
46619 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 0.9842, 1.0158, 0.8907, 0.7657], q:[0.6639, 0.4454], qb:[0.5704, 0.5389], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |