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 |
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6736 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ + $ M_4M_9$ | 0.6694 | 0.8242 | 0.8122 | [X:[], M:[0.6771, 1.1076, 0.9693, 0.7384, 1.1076, 1.0307, 1.0463, 0.8154, 1.2616], q:[0.7769, 0.546], qb:[0.4847, 0.4077], phi:[0.4462]] | [X:[], M:[[36], [-12], [22], [-8], [-12], [-22], [32], [2], [8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_8$, $ M_6$, $ M_7$, $ M_2$, $ M_5$, $ M_9$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_8$, $ \phi_1q_2^2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_7$, $ M_1M_2$, $ M_1M_5$, $ M_6M_8$, $ M_2M_8$, $ M_5M_8$, $ M_1M_9$ | . | -3 | t^2.03 + t^2.45 + t^3.09 + t^3.14 + 2*t^3.32 + 2*t^3.78 + t^4.02 + t^4.06 + t^4.2 + t^4.25 + t^4.43 + t^4.48 + t^4.61 + t^4.89 + t^5.12 + t^5.17 + 2*t^5.35 + t^5.54 + t^5.77 + t^5.82 - 3*t^6. + t^6.05 + t^6.09 + 2*t^6.23 + 2*t^6.28 + t^6.41 + 3*t^6.46 + t^6.51 + 3*t^6.65 + t^6.88 + 2*t^6.92 + t^7.06 + t^7.11 + t^7.15 + t^7.2 + 2*t^7.34 + 3*t^7.39 + t^7.52 + 4*t^7.57 + t^7.71 + 2*t^7.8 + t^7.85 + t^7.94 + t^7.98 - t^8.03 + t^8.08 + t^8.12 - t^8.17 + t^8.22 + 2*t^8.26 + 2*t^8.31 + t^8.4 - 2*t^8.45 + 4*t^8.49 + t^8.54 + 4*t^8.68 + t^8.72 + t^8.81 + t^8.86 + t^8.95 - t^4.34/y - t^6.37/y - t^6.78/y + t^7.02/y + t^7.2/y - t^7.66/y + t^7.89/y + t^8.12/y + t^8.17/y + t^8.31/y + (2*t^8.35)/y - t^8.4/y + t^8.54/y + t^8.59/y + (2*t^8.77)/y + t^8.82/y - t^4.34*y - t^6.37*y - t^6.78*y + t^7.02*y + t^7.2*y - t^7.66*y + t^7.89*y + t^8.12*y + t^8.17*y + t^8.31*y + 2*t^8.35*y - t^8.4*y + t^8.54*y + t^8.59*y + 2*t^8.77*y + t^8.82*y | g1^36*t^2.03 + g1^2*t^2.45 + t^3.09/g1^22 + g1^32*t^3.14 + (2*t^3.32)/g1^12 + 2*g1^8*t^3.78 + g1^18*t^4.02 + g1^72*t^4.06 + t^4.2/g1^26 + g1^28*t^4.25 + t^4.43/g1^16 + g1^38*t^4.48 + t^4.61/g1^60 + g1^4*t^4.89 + g1^14*t^5.12 + g1^68*t^5.17 + 2*g1^24*t^5.35 + t^5.54/g1^20 + t^5.77/g1^10 + g1^44*t^5.82 - 3*t^6. + g1^54*t^6.05 + g1^108*t^6.09 + 2*g1^10*t^6.23 + 2*g1^64*t^6.28 + t^6.41/g1^34 + 3*g1^20*t^6.46 + g1^74*t^6.51 + (3*t^6.65)/g1^24 + t^6.88/g1^14 + 2*g1^40*t^6.92 + t^7.06/g1^58 + t^7.11/g1^4 + g1^50*t^7.15 + g1^104*t^7.2 + 2*g1^6*t^7.34 + 3*g1^60*t^7.39 + t^7.52/g1^38 + 4*g1^16*t^7.57 + t^7.71/g1^82 + 2*g1^26*t^7.8 + g1^80*t^7.85 + t^7.94/g1^72 + t^7.98/g1^18 - g1^36*t^8.03 + g1^90*t^8.08 + g1^144*t^8.12 - t^8.17/g1^62 + t^8.22/g1^8 + 2*g1^46*t^8.26 + 2*g1^100*t^8.31 + t^8.4/g1^52 - 2*g1^2*t^8.45 + 4*g1^56*t^8.49 + g1^110*t^8.54 + 4*g1^12*t^8.68 + g1^66*t^8.72 + t^8.81/g1^86 + t^8.86/g1^32 + g1^76*t^8.95 - (g1^6*t^4.34)/y - (g1^42*t^6.37)/y - (g1^8*t^6.78)/y + (g1^18*t^7.02)/y + t^7.2/(g1^26*y) - t^7.66/(g1^6*y) + (g1^4*t^7.89)/y + (g1^14*t^8.12)/y + (g1^68*t^8.17)/y + t^8.31/(g1^30*y) + (2*g1^24*t^8.35)/y - (g1^78*t^8.4)/y + t^8.54/(g1^20*y) + (g1^34*t^8.59)/y + (2*t^8.77)/(g1^10*y) + (g1^44*t^8.82)/y - g1^6*t^4.34*y - g1^42*t^6.37*y - g1^8*t^6.78*y + g1^18*t^7.02*y + (t^7.2*y)/g1^26 - (t^7.66*y)/g1^6 + g1^4*t^7.89*y + g1^14*t^8.12*y + g1^68*t^8.17*y + (t^8.31*y)/g1^30 + 2*g1^24*t^8.35*y - g1^78*t^8.4*y + (t^8.54*y)/g1^20 + g1^34*t^8.59*y + (2*t^8.77*y)/g1^10 + g1^44*t^8.82*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5180 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6889 | 0.86 | 0.801 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375, 1.1063, 1.0282, 1.0498, 0.8156], q:[0.7766, 0.5424], qb:[0.4859, 0.4078], phi:[0.4468]] | t^2.04 + t^2.21 + t^2.45 + t^3.08 + t^3.15 + 2*t^3.32 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.49 + t^4.59 + t^4.66 + t^4.89 + t^5.13 + t^5.19 + t^5.3 + 3*t^5.36 + 3*t^5.53 + t^5.77 - 2*t^6. - t^4.34/y - t^4.34*y | detail |