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 |
---|---|---|---|---|---|---|---|---|---|
3859 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ + $ M_6M_7$ | 0.7132 | 0.8851 | 0.8057 | [X:[], M:[0.9742, 0.7253, 1.0258, 0.6737, 0.9742, 1.2747, 0.7253], q:[0.4871, 0.5387], qb:[0.4871, 0.7876], phi:[0.4249]] | [X:[], M:[[-14], [6], [14], [-22], [-14], [-6], [6]], q:[[-7], [21]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4q_1\tilde{q}_2$ | $M_7q_1\tilde{q}_2$ | -2 | t^2.02 + t^2.18 + t^2.55 + 2*t^2.92 + t^3.08 + t^3.82 + t^4.04 + 4*t^4.2 + 3*t^4.35 + t^4.51 + t^4.57 + t^4.73 + 2*t^4.94 + 4*t^5.1 + t^5.25 + 2*t^5.47 + t^5.63 + 2*t^5.85 - 2*t^6. + t^6.06 - t^6.15 + 4*t^6.22 + 5*t^6.37 + 3*t^6.53 + t^6.59 + t^6.68 + 5*t^6.75 + t^6.9 + 2*t^6.96 + t^7.06 + 8*t^7.12 + 5*t^7.27 + 2*t^7.43 + 2*t^7.49 + t^7.58 + 2*t^7.65 - t^7.8 + 2*t^7.87 - t^7.96 + 2*t^8.02 + t^8.08 - 4*t^8.18 + 4*t^8.24 - 2*t^8.33 + 11*t^8.39 + 4*t^8.55 + t^8.61 + 4*t^8.7 + 6*t^8.77 + 3*t^8.86 - 3*t^8.92 + 2*t^8.99 - t^4.27/y - t^6.3/y - t^6.45/y - t^6.82/y + t^7.35/y + t^7.57/y + (2*t^7.73)/y + (2*t^7.94)/y + (4*t^8.1)/y + (2*t^8.25)/y - t^8.32/y + t^8.47/y + t^8.85/y - t^4.27*y - t^6.3*y - t^6.45*y - t^6.82*y + t^7.35*y + t^7.57*y + 2*t^7.73*y + 2*t^7.94*y + 4*t^8.1*y + 2*t^8.25*y - t^8.32*y + t^8.47*y + t^8.85*y | t^2.02/g1^22 + g1^6*t^2.18 + t^2.55/g1^4 + (2*t^2.92)/g1^14 + g1^14*t^3.08 + t^3.82/g1^6 + t^4.04/g1^44 + (4*t^4.2)/g1^16 + 3*g1^12*t^4.35 + g1^40*t^4.51 + t^4.57/g1^26 + g1^2*t^4.73 + (2*t^4.94)/g1^36 + (4*t^5.1)/g1^8 + g1^20*t^5.25 + (2*t^5.47)/g1^18 + g1^10*t^5.63 + (2*t^5.85)/g1^28 - 2*t^6. + t^6.06/g1^66 - g1^28*t^6.15 + (4*t^6.22)/g1^38 + (5*t^6.37)/g1^10 + 3*g1^18*t^6.53 + t^6.59/g1^48 + g1^46*t^6.68 + (5*t^6.75)/g1^20 + g1^8*t^6.9 + (2*t^6.96)/g1^58 + g1^36*t^7.06 + (8*t^7.12)/g1^30 + (5*t^7.27)/g1^2 + 2*g1^26*t^7.43 + (2*t^7.49)/g1^40 + g1^54*t^7.58 + (2*t^7.65)/g1^12 - g1^16*t^7.8 + (2*t^7.87)/g1^50 - g1^44*t^7.96 + (2*t^8.02)/g1^22 + t^8.08/g1^88 - 4*g1^6*t^8.18 + (4*t^8.24)/g1^60 - 2*g1^34*t^8.33 + (11*t^8.39)/g1^32 + (4*t^8.55)/g1^4 + t^8.61/g1^70 + 4*g1^24*t^8.7 + (6*t^8.77)/g1^42 + 3*g1^52*t^8.86 - (3*t^8.92)/g1^14 + (2*t^8.99)/g1^80 - t^4.27/(g1^2*y) - t^6.3/(g1^24*y) - (g1^4*t^6.45)/y - t^6.82/(g1^6*y) + (g1^12*t^7.35)/y + t^7.57/(g1^26*y) + (2*g1^2*t^7.73)/y + (2*t^7.94)/(g1^36*y) + (4*t^8.1)/(g1^8*y) + (2*g1^20*t^8.25)/y - t^8.32/(g1^46*y) + t^8.47/(g1^18*y) + t^8.85/(g1^28*y) - (t^4.27*y)/g1^2 - (t^6.3*y)/g1^24 - g1^4*t^6.45*y - (t^6.82*y)/g1^6 + g1^12*t^7.35*y + (t^7.57*y)/g1^26 + 2*g1^2*t^7.73*y + (2*t^7.94*y)/g1^36 + (4*t^8.1*y)/g1^8 + 2*g1^20*t^8.25*y - (t^8.32*y)/g1^46 + (t^8.47*y)/g1^18 + (t^8.85*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
5456 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7331 | 0.9221 | 0.7951 | [X:[], M:[0.9763, 0.7244, 1.0237, 0.6771, 0.9763, 1.2756, 0.7244, 0.7244], q:[0.4882, 0.5355], qb:[0.4882, 0.7874], phi:[0.4252]] | t^2.03 + 2*t^2.17 + t^2.55 + 2*t^2.93 + t^3.07 + t^4.06 + 5*t^4.2 + 5*t^4.35 + t^4.49 + t^4.58 + 2*t^4.72 + 2*t^4.96 + 6*t^5.1 + 2*t^5.24 + 2*t^5.48 + t^5.62 + t^5.86 - 3*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
3382 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_5q_2\tilde{q}_1$ | 0.6933 | 0.8483 | 0.8172 | [X:[], M:[0.972, 0.7263, 1.028, 0.6702, 0.972, 1.2737], q:[0.486, 0.542], qb:[0.486, 0.7877], phi:[0.4246]] | t^2.01 + t^2.55 + 2*t^2.92 + t^3.08 + 2*t^3.82 + t^4.02 + 3*t^4.19 + 2*t^4.36 + t^4.53 + t^4.56 + 2*t^4.93 + 2*t^5.09 + 2*t^5.46 + t^5.63 + 3*t^5.83 - 3*t^6. - t^4.27/y - t^4.27*y | detail |