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 |
---|---|---|---|---|---|---|---|---|---|
819 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2M_4$ | 0.6993 | 0.8587 | 0.8143 | [X:[], M:[0.9795, 0.9385, 1.0205, 1.0615, 0.8976], q:[0.5717, 0.4488], qb:[0.4898, 0.5307], phi:[0.4898]] | [X:[], M:[[-2], [-6], [2], [6], [-10]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_1M_2$, $ M_3M_5$, $ M_2\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.69 + t^2.82 + 2*t^2.94 + 2*t^3.06 + t^3.18 + t^4.16 + t^4.28 + 2*t^4.41 + 2*t^4.53 + 2*t^4.65 + t^4.78 + t^4.9 + t^5.39 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 + t^6. + t^6.12 + t^6.85 + 2*t^6.98 + 4*t^7.1 + 4*t^7.22 + 5*t^7.35 + 4*t^7.47 + 4*t^7.59 + 2*t^7.72 + 2*t^7.84 + t^7.96 + 2*t^8.08 + t^8.2 + 3*t^8.32 + 3*t^8.45 + 4*t^8.57 + 2*t^8.69 + 2*t^8.82 - t^8.94 - t^4.47/y - t^7.16/y - t^7.41/y + t^7.53/y + t^7.78/y + t^8.51/y + (2*t^8.63)/y + (4*t^8.75)/y + (4*t^8.88)/y - t^4.47*y - t^7.16*y - t^7.41*y + t^7.53*y + t^7.78*y + t^8.51*y + 2*t^8.63*y + 4*t^8.75*y + 4*t^8.88*y | t^2.69/g1^10 + t^2.82/g1^6 + (2*t^2.94)/g1^2 + 2*g1^2*t^3.06 + g1^6*t^3.18 + t^4.16/g1^11 + t^4.28/g1^7 + (2*t^4.41)/g1^3 + 2*g1*t^4.53 + 2*g1^5*t^4.65 + g1^9*t^4.78 + g1^13*t^4.9 + t^5.39/g1^20 + t^5.51/g1^16 + (2*t^5.63)/g1^12 + (2*t^5.75)/g1^8 + (3*t^5.88)/g1^4 + t^6. + g1^4*t^6.12 + t^6.85/g1^21 + (2*t^6.98)/g1^17 + (4*t^7.1)/g1^13 + (4*t^7.22)/g1^9 + (5*t^7.35)/g1^5 + (4*t^7.47)/g1 + 4*g1^3*t^7.59 + 2*g1^7*t^7.72 + 2*g1^11*t^7.84 + g1^15*t^7.96 + t^8.08/g1^30 + g1^19*t^8.08 + t^8.2/g1^26 + (3*t^8.32)/g1^22 + (3*t^8.45)/g1^18 + (4*t^8.57)/g1^14 + (2*t^8.69)/g1^10 + (2*t^8.82)/g1^6 - t^8.94/g1^2 - t^4.47/(g1*y) - t^7.16/(g1^11*y) - t^7.41/(g1^3*y) + (g1*t^7.53)/y + (g1^9*t^7.78)/y + t^8.51/(g1^16*y) + (2*t^8.63)/(g1^12*y) + (4*t^8.75)/(g1^8*y) + (4*t^8.88)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.16*y)/g1^11 - (t^7.41*y)/g1^3 + g1*t^7.53*y + g1^9*t^7.78*y + (t^8.51*y)/g1^16 + (2*t^8.63*y)/g1^12 + (4*t^8.75*y)/g1^8 + (4*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
1296 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_2M_6$ | 0.6946 | 0.8504 | 0.8168 | [X:[], M:[0.9868, 0.9605, 1.0132, 1.0395, 0.9342, 1.0395], q:[0.5461, 0.4671], qb:[0.4934, 0.5198], phi:[0.4934]] | t^2.8 + 2*t^2.96 + 2*t^3.04 + 2*t^3.12 + t^4.28 + t^4.36 + 2*t^4.44 + 2*t^4.52 + 2*t^4.6 + t^4.68 + t^4.76 + t^5.6 + t^5.76 + 2*t^5.92 - t^4.48/y - t^4.48*y | detail | |
1297 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_4M_6$ | 0.7059 | 0.8716 | 0.8099 | [X:[], M:[0.9727, 0.918, 1.0273, 1.082, 0.8634, 0.918], q:[0.5956, 0.4317], qb:[0.4863, 0.541], phi:[0.4863]] | t^2.59 + 2*t^2.75 + 2*t^2.92 + 2*t^3.08 + t^4.05 + t^4.21 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + t^4.87 + t^5.03 + t^5.18 + 2*t^5.34 + 4*t^5.51 + 4*t^5.67 + 4*t^5.84 - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
526 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.774, 1.0753, 0.9247, 0.9247], q:[0.613, 0.4623], qb:[0.613, 0.4623], phi:[0.4623]] | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - t^4.39/y - t^4.39*y | detail |