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 |
---|---|---|---|---|---|---|---|---|---|
55102 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6349 | 0.7889 | 0.8048 | [X:[], M:[0.8213, 0.8213, 1.1787, 0.7503, 1.2142, 0.7147], q:[0.3751, 0.8036], qb:[0.8036, 0.4462], phi:[0.3929]] | [X:[], M:[[6], [6], [-6], [-14], [4], [-24]], q:[[-7], [1]], qb:[[1], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ M_3$, $ M_5$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ M_1M_6$, $ M_2M_6$, $ M_1M_4$, $ M_2M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1q_1^2$, $ M_3M_6$, $ M_4\phi_1q_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1q_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$ | $M_2M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$ | 0 | t^2.14 + t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.75 + t^4.29 + t^4.4 + t^4.5 + 2*t^4.61 + 2*t^4.71 + t^4.82 + 3*t^4.93 + t^5.57 + 2*t^5.68 + 2*t^5.79 + 3*t^5.89 + 2*t^6.11 + t^6.21 + t^6.43 + t^6.54 + t^6.65 + 3*t^6.75 + 3*t^6.86 + 3*t^6.97 + 4*t^7.07 + 2*t^7.18 + t^7.29 + 3*t^7.39 + t^7.72 + 2*t^7.82 + 3*t^7.93 + 3*t^8.04 + 2*t^8.14 + 2*t^8.36 - 2*t^8.46 + t^8.57 + t^8.58 + t^8.68 + t^8.79 + 3*t^8.9 - t^4.18/y - t^6.32/y - t^6.43/y - t^6.64/y + t^7.4/y + (2*t^7.61)/y + (3*t^7.71)/y + (2*t^7.93)/y + t^8.03/y - t^8.47/y + t^8.68/y + (2*t^8.79)/y + (4*t^8.89)/y - t^4.18*y - t^6.32*y - t^6.43*y - t^6.64*y + t^7.4*y + 2*t^7.61*y + 3*t^7.71*y + 2*t^7.93*y + t^8.03*y - t^8.47*y + t^8.68*y + 2*t^8.79*y + 4*t^8.89*y | t^2.14/g1^24 + t^2.25/g1^14 + 2*g1^6*t^2.46 + t^3.43/g1^16 + t^3.54/g1^6 + 2*g1^4*t^3.64 + g1^14*t^3.75 + t^4.29/g1^48 + t^4.4/g1^38 + t^4.5/g1^28 + (2*t^4.61)/g1^18 + (2*t^4.71)/g1^8 + g1^2*t^4.82 + 3*g1^12*t^4.93 + t^5.57/g1^40 + (2*t^5.68)/g1^30 + (2*t^5.79)/g1^20 + (3*t^5.89)/g1^10 + 2*g1^10*t^6.11 + g1^20*t^6.21 + t^6.43/g1^72 + t^6.54/g1^62 + t^6.65/g1^52 + (3*t^6.75)/g1^42 + (3*t^6.86)/g1^32 + (3*t^6.97)/g1^22 + (4*t^7.07)/g1^12 + (2*t^7.18)/g1^2 + g1^8*t^7.29 + 3*g1^18*t^7.39 + t^7.72/g1^64 + (2*t^7.82)/g1^54 + (3*t^7.93)/g1^44 + (3*t^8.04)/g1^34 + (2*t^8.14)/g1^24 + (2*t^8.36)/g1^4 - 2*g1^6*t^8.46 + g1^16*t^8.57 + t^8.58/g1^96 + t^8.68/g1^86 + t^8.79/g1^76 + (3*t^8.9)/g1^66 - t^4.18/(g1^2*y) - t^6.32/(g1^26*y) - t^6.43/(g1^16*y) - (g1^4*t^6.64)/y + t^7.4/(g1^38*y) + (2*t^7.61)/(g1^18*y) + (3*t^7.71)/(g1^8*y) + (2*g1^12*t^7.93)/y + (g1^22*t^8.03)/y - t^8.47/(g1^50*y) + t^8.68/(g1^30*y) + (2*t^8.79)/(g1^20*y) + (4*t^8.89)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.32*y)/g1^26 - (t^6.43*y)/g1^16 - g1^4*t^6.64*y + (t^7.4*y)/g1^38 + (2*t^7.61*y)/g1^18 + (3*t^7.71*y)/g1^8 + 2*g1^12*t^7.93*y + g1^22*t^8.03*y - (t^8.47*y)/g1^50 + (t^8.68*y)/g1^30 + (2*t^8.79*y)/g1^20 + (4*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 |
---|---|---|---|---|---|---|---|---|
56753 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_3M_7$ | 0.6501 | 0.8149 | 0.7978 | [X:[], M:[0.8183, 0.8183, 1.1817, 0.7572, 1.2122, 0.7267, 0.8183], q:[0.3786, 0.8031], qb:[0.8031, 0.4397], phi:[0.3939]] | t^2.18 + t^2.27 + 3*t^2.45 + t^3.45 + 2*t^3.64 + t^3.73 + t^4.36 + t^4.45 + t^4.54 + 3*t^4.64 + 3*t^4.73 + t^4.82 + 6*t^4.91 + t^5.63 + t^5.73 + t^5.82 + 4*t^5.91 - 2*t^6. - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
46919 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.615 | 0.7516 | 0.8183 | [X:[], M:[0.8144, 0.8144, 1.1856, 0.7664, 1.2096], q:[0.3832, 0.8024], qb:[0.8024, 0.4312], phi:[0.3952]] | t^2.3 + 2*t^2.44 + t^3.48 + t^3.56 + 2*t^3.63 + t^3.7 + t^3.77 + t^4.6 + 2*t^4.74 + t^4.81 + 3*t^4.89 + t^5.78 + 2*t^5.93 - t^4.19/y - t^4.19*y | detail |