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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6724 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1q_2^2$ | 0.6879 | 0.8801 | 0.7817 | [X:[], M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.8447, 0.8075, 0.7329], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]] | [X:[], M:[[2], [8], [-18], [12], [-28], [-12], [12], [2], [-18]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_3$, $ M_9$, $ M_1$, $ M_8$, $ M_4$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_5M_9$, $ M_3^2$, $ M_3M_9$, $ M_9^2$, $ M_1M_5$, $ M_5M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_3M_8$, $ M_1M_9$, $ M_8M_9$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_3M_7$, $ M_4M_9$, $ M_7M_9$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1M_8$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ M_4M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_2M_9$, $ M_9\phi_1q_2\tilde{q}_1$ | . | -3 | t^2.09 + 2*t^2.2 + 2*t^2.42 + 2*t^2.53 + 2*t^3.69 + t^4.17 + 2*t^4.29 + 3*t^4.4 + 2*t^4.51 + 6*t^4.62 + 4*t^4.73 + 4*t^4.84 + 4*t^4.96 + 3*t^5.07 + t^5.78 + 2*t^5.89 - 3*t^6. + 2*t^6.11 + 3*t^6.22 + t^6.26 + 2*t^6.37 + 3*t^6.48 + 6*t^6.6 + 6*t^6.71 + 10*t^6.82 + 9*t^6.93 + 10*t^7.04 + 8*t^7.16 + 8*t^7.27 + 7*t^7.38 + 4*t^7.49 + 3*t^7.6 + t^7.86 - t^8.09 - 6*t^8.2 + t^8.31 + t^8.35 - 6*t^8.42 + 2*t^8.46 - 4*t^8.53 + 3*t^8.57 + 6*t^8.68 + 3*t^8.76 + 11*t^8.8 + 10*t^8.91 - t^4.16/y - t^6.24/y - (2*t^6.35)/y - (2*t^6.58)/y - t^6.69/y + (2*t^7.29)/y + t^7.4/y + (2*t^7.51)/y + (7*t^7.62)/y + (6*t^7.73)/y + t^7.84/y + (6*t^7.96)/y + (2*t^8.07)/y - t^8.33/y - (2*t^8.44)/y - (3*t^8.55)/y - (2*t^8.66)/y - (3*t^8.78)/y + (2*t^8.89)/y - t^4.16*y - t^6.24*y - 2*t^6.35*y - 2*t^6.58*y - t^6.69*y + 2*t^7.29*y + t^7.4*y + 2*t^7.51*y + 7*t^7.62*y + 6*t^7.73*y + t^7.84*y + 6*t^7.96*y + 2*t^8.07*y - t^8.33*y - 2*t^8.44*y - 3*t^8.55*y - 2*t^8.66*y - 3*t^8.78*y + 2*t^8.89*y | t^2.09/g1^28 + (2*t^2.2)/g1^18 + 2*g1^2*t^2.42 + 2*g1^12*t^2.53 + 2*g1^8*t^3.69 + t^4.17/g1^56 + (2*t^4.29)/g1^46 + (3*t^4.4)/g1^36 + (2*t^4.51)/g1^26 + (6*t^4.62)/g1^16 + (4*t^4.73)/g1^6 + 4*g1^4*t^4.84 + 4*g1^14*t^4.96 + 3*g1^24*t^5.07 + t^5.78/g1^20 + (2*t^5.89)/g1^10 - 3*t^6. + 2*g1^10*t^6.11 + 3*g1^20*t^6.22 + t^6.26/g1^84 + (2*t^6.37)/g1^74 + (3*t^6.48)/g1^64 + (6*t^6.6)/g1^54 + (6*t^6.71)/g1^44 + (10*t^6.82)/g1^34 + (9*t^6.93)/g1^24 + (10*t^7.04)/g1^14 + (8*t^7.16)/g1^4 + 8*g1^6*t^7.27 + 7*g1^16*t^7.38 + 4*g1^26*t^7.49 + 3*g1^36*t^7.6 + t^7.86/g1^48 - t^8.09/g1^28 - (6*t^8.2)/g1^18 + t^8.31/g1^8 + t^8.35/g1^112 - 6*g1^2*t^8.42 + (2*t^8.46)/g1^102 - 4*g1^12*t^8.53 + (3*t^8.57)/g1^92 + (6*t^8.68)/g1^82 + 3*g1^32*t^8.76 + (11*t^8.8)/g1^72 + (10*t^8.91)/g1^62 - t^4.16/(g1^4*y) - t^6.24/(g1^32*y) - (2*t^6.35)/(g1^22*y) - (2*t^6.58)/(g1^2*y) - (g1^8*t^6.69)/y + (2*t^7.29)/(g1^46*y) + t^7.4/(g1^36*y) + (2*t^7.51)/(g1^26*y) + (7*t^7.62)/(g1^16*y) + (6*t^7.73)/(g1^6*y) + (g1^4*t^7.84)/y + (6*g1^14*t^7.96)/y + (2*g1^24*t^8.07)/y - t^8.33/(g1^60*y) - (2*t^8.44)/(g1^50*y) - (3*t^8.55)/(g1^40*y) - (2*t^8.66)/(g1^30*y) - (3*t^8.78)/(g1^20*y) + (2*t^8.89)/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.24*y)/g1^32 - (2*t^6.35*y)/g1^22 - (2*t^6.58*y)/g1^2 - g1^8*t^6.69*y + (2*t^7.29*y)/g1^46 + (t^7.4*y)/g1^36 + (2*t^7.51*y)/g1^26 + (7*t^7.62*y)/g1^16 + (6*t^7.73*y)/g1^6 + g1^4*t^7.84*y + 6*g1^14*t^7.96*y + 2*g1^24*t^8.07*y - (t^8.33*y)/g1^60 - (2*t^8.44*y)/g1^50 - (3*t^8.55*y)/g1^40 - (2*t^8.66*y)/g1^30 - (3*t^8.78*y)/g1^20 + (2*t^8.89*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
5147 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6684 | 0.8438 | 0.7921 | [X:[], M:[0.8064, 1.2255, 0.7427, 0.8382, 0.7109, 1.1618, 0.8382, 0.8064], q:[0.7586, 0.435], qb:[0.4032, 0.8541], phi:[0.3873]] | t^2.13 + t^2.23 + 2*t^2.42 + 2*t^2.51 + 2*t^3.68 + t^3.77 + t^4.27 + t^4.36 + t^4.46 + 2*t^4.55 + 4*t^4.65 + 2*t^4.74 + 4*t^4.84 + 4*t^4.93 + 3*t^5.03 + t^5.81 + t^5.9 - 2*t^6. - t^4.16/y - t^4.16*y | detail |