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 |
---|---|---|---|---|---|---|---|---|---|
4367 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_6M_8$ | 0.6562 | 0.8258 | 0.7946 | [X:[], M:[0.7323, 1.0357, 1.1964, 1.125, 0.8036, 0.875, 0.8036, 1.125], q:[0.5088, 0.7589], qb:[0.3661, 0.4375], phi:[0.4822]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-10], [-14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ M_7$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ \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$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_7$, $ M_1M_4$, $ M_1M_8$, $ q_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ M_7M_8$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$ | . | -3 | t^2.2 + 2*t^2.41 + t^2.84 + t^3.11 + 2*t^3.38 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.39 + t^4.5 + 2*t^4.61 + 3*t^4.82 + t^5.04 + 2*t^5.25 + t^5.3 + 2*t^5.52 + t^5.57 + t^5.68 + 2*t^5.79 + t^5.84 + t^5.95 - 3*t^6. + 3*t^6.05 + 3*t^6.27 - t^6.43 + 6*t^6.48 + t^6.59 + 2*t^6.7 + 2*t^6.75 + 2*t^6.8 + 3*t^6.91 - t^6.96 + 4*t^7.02 + t^7.12 - t^7.18 + 4*t^7.23 + t^7.29 + t^7.34 + 2*t^7.45 + 2*t^7.5 + t^7.66 + 4*t^7.71 + t^7.77 + 4*t^7.93 + t^8.04 + t^8.09 + 3*t^8.14 - t^8.2 + 3*t^8.25 + 3*t^8.36 - 7*t^8.41 + 6*t^8.46 + t^8.52 + 2*t^8.57 - 3*t^8.62 + 6*t^8.68 + 2*t^8.78 + t^8.79 - 5*t^8.84 + 8*t^8.89 + t^8.95 - t^4.45/y - t^6.64/y - t^6.86/y + t^7.07/y + (2*t^7.61)/y + (2*t^8.04)/y + (3*t^8.25)/y + t^8.3/y + (2*t^8.52)/y + (2*t^8.57)/y + (4*t^8.79)/y + t^8.95/y - t^4.45*y - t^6.64*y - t^6.86*y + t^7.07*y + 2*t^7.61*y + 2*t^8.04*y + 3*t^8.25*y + t^8.3*y + 2*t^8.52*y + 2*t^8.57*y + 4*t^8.79*y + t^8.95*y | t^2.2/g1^34 + (2*t^2.41)/g1^10 + g1^38*t^2.84 + g1^12*t^3.11 + (2*t^3.38)/g1^14 + t^3.64/g1^40 + t^3.86/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.29 + t^4.39/g1^68 + g1^56*t^4.5 + (2*t^4.61)/g1^44 + (3*t^4.82)/g1^20 + g1^4*t^5.04 + 2*g1^28*t^5.25 + t^5.3/g1^22 + 2*g1^2*t^5.52 + t^5.57/g1^48 + g1^76*t^5.68 + (2*t^5.79)/g1^24 + t^5.84/g1^74 + g1^50*t^5.95 - 3*t^6. + (3*t^6.05)/g1^50 + (3*t^6.27)/g1^26 - g1^48*t^6.43 + (6*t^6.48)/g1^2 + t^6.59/g1^102 + 2*g1^22*t^6.7 + (2*t^6.75)/g1^28 + (2*t^6.8)/g1^78 + 3*g1^46*t^6.91 - t^6.96/g1^4 + (4*t^7.02)/g1^54 + g1^70*t^7.12 - g1^20*t^7.18 + (4*t^7.23)/g1^30 + t^7.29/g1^80 + g1^94*t^7.34 + (2*t^7.45)/g1^6 + (2*t^7.5)/g1^56 + g1^18*t^7.66 + (4*t^7.71)/g1^32 + t^7.77/g1^82 + (4*t^7.93)/g1^8 + t^8.04/g1^108 + g1^66*t^8.09 + 3*g1^16*t^8.14 - t^8.2/g1^34 + (3*t^8.25)/g1^84 + 3*g1^40*t^8.36 - (7*t^8.41)/g1^10 + (6*t^8.46)/g1^60 + g1^114*t^8.52 + 2*g1^64*t^8.57 - 3*g1^14*t^8.62 + (6*t^8.68)/g1^36 + 2*g1^88*t^8.78 + t^8.79/g1^136 - 5*g1^38*t^8.84 + (8*t^8.89)/g1^12 + t^8.95/g1^62 - t^4.45/(g1^6*y) - t^6.64/(g1^40*y) - t^6.86/(g1^16*y) + (g1^8*t^7.07)/y + (2*t^7.61)/(g1^44*y) + (2*g1^4*t^8.04)/y + (3*g1^28*t^8.25)/y + t^8.3/(g1^22*y) + (2*g1^2*t^8.52)/y + (2*t^8.57)/(g1^48*y) + (4*t^8.79)/(g1^24*y) + (g1^50*t^8.95)/y - (t^4.45*y)/g1^6 - (t^6.64*y)/g1^40 - (t^6.86*y)/g1^16 + g1^8*t^7.07*y + (2*t^7.61*y)/g1^44 + 2*g1^4*t^8.04*y + 3*g1^28*t^8.25*y + (t^8.3*y)/g1^22 + 2*g1^2*t^8.52*y + (2*t^8.57*y)/g1^48 + (4*t^8.79*y)/g1^24 + g1^50*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
5836 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_6M_8$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6764 | 0.8639 | 0.783 | [X:[], M:[0.7367, 1.0341, 1.1951, 1.1269, 0.8049, 0.8731, 0.8049, 1.1269, 0.7121], q:[0.5048, 0.7585], qb:[0.3684, 0.4366], phi:[0.4829]] | t^2.14 + t^2.21 + 2*t^2.41 + t^2.82 + t^3.1 + 2*t^3.38 + t^3.66 + 2*t^4.07 + 2*t^4.27 + t^4.35 + t^4.42 + t^4.48 + 2*t^4.55 + 2*t^4.62 + 3*t^4.83 + t^4.96 + t^5.03 + 3*t^5.24 + t^5.31 + 4*t^5.52 + t^5.59 + t^5.65 + 3*t^5.8 + t^5.87 + t^5.93 - 3*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
2369 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*y | detail |