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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5727 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.7196 | 0.9248 | 0.7781 | [X:[1.3579], M:[1.0209, 1.1685, 0.9791, 0.6421, 0.8315, 0.7159, 0.8315, 0.7577, 0.6741], q:[0.7737, 0.3948], qb:[0.5843, 0.4366], phi:[0.4526]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-14], [-32], [56]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_9$, $ M_6$, $ M_8$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ M_9^2$, $ X_1$, $ M_6M_9$, $ M_6^2$, $ M_8M_9$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_9$, $ M_7M_9$, $ M_8^2$, $ M_5M_6$, $ M_6M_7$, $ M_9\phi_1^2$, $ M_5M_8$, $ M_7M_8$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_9$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_8\phi_1^2$, $ M_3M_6$, $ M_1M_9$, $ M_1M_6$, $ M_3M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_8$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_1M_5$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_9q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.15 + t^2.27 + 2*t^2.49 + t^2.72 + t^2.94 + t^3.06 + t^3.63 + t^4.04 + t^4.07 + t^4.17 + 3*t^4.3 + 2*t^4.42 + 2*t^4.52 + t^4.55 + 2*t^4.64 + t^4.74 + 2*t^4.77 + 2*t^4.86 + t^4.96 + 4*t^4.99 + 2*t^5.08 + 4*t^5.21 + t^5.34 + 2*t^5.43 + t^5.56 + 2*t^5.65 + 2*t^5.78 + t^5.9 - 2*t^6. + t^6.07 + t^6.1 + 2*t^6.13 + t^6.19 + 3*t^6.32 + t^6.35 + 3*t^6.44 + 2*t^6.54 + 4*t^6.57 + 2*t^6.66 + 3*t^6.69 + t^6.76 + 4*t^6.79 + t^6.82 + 2*t^6.89 + 2*t^6.92 + t^6.98 + 6*t^7.01 + 2*t^7.04 + 2*t^7.11 + 5*t^7.14 + 5*t^7.23 + 4*t^7.26 + 5*t^7.36 + 2*t^7.45 + 7*t^7.48 + 3*t^7.58 + t^7.61 + 2*t^7.68 + 5*t^7.7 + 2*t^7.8 + t^7.83 + 6*t^7.93 - 2*t^8.02 + 3*t^8.05 + t^8.09 + t^8.12 + t^8.18 + t^8.21 - t^8.27 + 3*t^8.34 + t^8.37 + 2*t^8.4 + 3*t^8.47 - 3*t^8.49 + 2*t^8.56 + 5*t^8.59 + 3*t^8.62 + 2*t^8.69 + t^8.78 + 4*t^8.81 + 5*t^8.84 + 2*t^8.91 + 3*t^8.97 - t^4.36/y - t^6.38/y - t^6.51/y - t^6.63/y - t^6.85/y - t^7.07/y + t^7.17/y + t^7.3/y + t^7.42/y + (2*t^7.52)/y + (3*t^7.64)/y + t^7.74/y + (2*t^7.77)/y + (2*t^7.86)/y + t^7.96/y + (2*t^7.99)/y + (3*t^8.08)/y + (5*t^8.21)/y + (2*t^8.34)/y - t^8.4/y + (2*t^8.43)/y - t^8.53/y + (2*t^8.56)/y + t^8.78/y - t^8.87/y - t^4.36*y - t^6.38*y - t^6.51*y - t^6.63*y - t^6.85*y - t^7.07*y + t^7.17*y + t^7.3*y + t^7.42*y + 2*t^7.52*y + 3*t^7.64*y + t^7.74*y + 2*t^7.77*y + 2*t^7.86*y + t^7.96*y + 2*t^7.99*y + 3*t^8.08*y + 5*t^8.21*y + 2*t^8.34*y - t^8.4*y + 2*t^8.43*y - t^8.53*y + 2*t^8.56*y + t^8.78*y - t^8.87*y | g1^56*t^2.02 + g1^12*t^2.15 + t^2.27/g1^32 + (2*t^2.49)/g1^14 + g1^4*t^2.72 + g1^22*t^2.94 + t^3.06/g1^22 + t^3.63/g1^30 + g1^112*t^4.04 + g1^6*t^4.07 + g1^68*t^4.17 + 3*g1^24*t^4.3 + (2*t^4.42)/g1^20 + 2*g1^42*t^4.52 + t^4.55/g1^64 + (2*t^4.64)/g1^2 + g1^60*t^4.74 + (2*t^4.77)/g1^46 + 2*g1^16*t^4.86 + g1^78*t^4.96 + (4*t^4.99)/g1^28 + 2*g1^34*t^5.08 + (4*t^5.21)/g1^10 + t^5.34/g1^54 + 2*g1^8*t^5.43 + t^5.56/g1^36 + 2*g1^26*t^5.65 + (2*t^5.78)/g1^18 + t^5.9/g1^62 - 2*t^6. + g1^168*t^6.07 + g1^62*t^6.1 + (2*t^6.13)/g1^44 + g1^124*t^6.19 + 3*g1^80*t^6.32 + t^6.35/g1^26 + 3*g1^36*t^6.44 + 2*g1^98*t^6.54 + (4*t^6.57)/g1^8 + 2*g1^54*t^6.66 + (3*t^6.69)/g1^52 + g1^116*t^6.76 + 4*g1^10*t^6.79 + t^6.82/g1^96 + 2*g1^72*t^6.89 + (2*t^6.92)/g1^34 + g1^134*t^6.98 + 6*g1^28*t^7.01 + (2*t^7.04)/g1^78 + 2*g1^90*t^7.11 + (5*t^7.14)/g1^16 + 5*g1^46*t^7.23 + (4*t^7.26)/g1^60 + 5*g1^2*t^7.36 + 2*g1^64*t^7.45 + (7*t^7.48)/g1^42 + 3*g1^20*t^7.58 + t^7.61/g1^86 + 2*g1^82*t^7.68 + (5*t^7.7)/g1^24 + 2*g1^38*t^7.8 + t^7.83/g1^68 + (6*t^7.93)/g1^6 - 2*g1^56*t^8.02 + (3*t^8.05)/g1^50 + g1^224*t^8.09 + g1^118*t^8.12 + t^8.18/g1^94 + g1^180*t^8.21 - t^8.27/g1^32 + 3*g1^136*t^8.34 + g1^30*t^8.37 + (2*t^8.4)/g1^76 + 3*g1^92*t^8.47 - (3*t^8.49)/g1^14 + 2*g1^154*t^8.56 + 5*g1^48*t^8.59 + (3*t^8.62)/g1^58 + 2*g1^110*t^8.69 + g1^172*t^8.78 + 4*g1^66*t^8.81 + (5*t^8.84)/g1^40 + 2*g1^128*t^8.91 + (3*t^8.97)/g1^84 - (g1^2*t^4.36)/y - (g1^58*t^6.38)/y - (g1^14*t^6.51)/y - t^6.63/(g1^30*y) - t^6.85/(g1^12*y) - (g1^6*t^7.07)/y + (g1^68*t^7.17)/y + (g1^24*t^7.3)/y + t^7.42/(g1^20*y) + (2*g1^42*t^7.52)/y + (3*t^7.64)/(g1^2*y) + (g1^60*t^7.74)/y + (2*t^7.77)/(g1^46*y) + (2*g1^16*t^7.86)/y + (g1^78*t^7.96)/y + (2*t^7.99)/(g1^28*y) + (3*g1^34*t^8.08)/y + (5*t^8.21)/(g1^10*y) + (2*t^8.34)/(g1^54*y) - (g1^114*t^8.4)/y + (2*g1^8*t^8.43)/y - (g1^70*t^8.53)/y + (2*t^8.56)/(g1^36*y) + t^8.78/(g1^18*y) - (g1^44*t^8.87)/y - g1^2*t^4.36*y - g1^58*t^6.38*y - g1^14*t^6.51*y - (t^6.63*y)/g1^30 - (t^6.85*y)/g1^12 - g1^6*t^7.07*y + g1^68*t^7.17*y + g1^24*t^7.3*y + (t^7.42*y)/g1^20 + 2*g1^42*t^7.52*y + (3*t^7.64*y)/g1^2 + g1^60*t^7.74*y + (2*t^7.77*y)/g1^46 + 2*g1^16*t^7.86*y + g1^78*t^7.96*y + (2*t^7.99*y)/g1^28 + 3*g1^34*t^8.08*y + (5*t^8.21*y)/g1^10 + (2*t^8.34*y)/g1^54 - g1^114*t^8.4*y + 2*g1^8*t^8.43*y - g1^70*t^8.53*y + (2*t^8.56*y)/g1^36 + (t^8.78*y)/g1^18 - g1^44*t^8.87*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 |
---|---|---|---|---|---|---|---|---|---|
4238 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_2^2$ | 0.6988 | 0.8839 | 0.7906 | [X:[1.3585], M:[1.019, 1.1697, 0.981, 0.6415, 0.8303, 0.7169, 0.8303, 0.7549], q:[0.7736, 0.3961], qb:[0.5849, 0.4341], phi:[0.4528]] | t^2.15 + t^2.26 + 2*t^2.49 + t^2.72 + t^2.94 + t^3.06 + t^3.62 + t^3.96 + t^4.08 + 2*t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + 2*t^4.76 + 2*t^4.87 + 4*t^4.98 + t^5.09 + 4*t^5.21 + t^5.32 + 2*t^5.43 + t^5.55 + t^5.66 + 2*t^5.77 + t^5.89 - 2*t^6. - t^4.36/y - t^4.36*y | detail |