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 |
---|---|---|---|---|---|---|---|---|---|
3371 | 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_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ | 0.6687 | 0.8219 | 0.8136 | [X:[], M:[0.7047, 1.0984, 0.9862, 0.7323, 1.0138, 1.2677], q:[0.7746, 0.5206], qb:[0.4931, 0.4085], phi:[0.4508]] | [X:[], M:[[36], [-12], [22], [-8], [-22], [8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_2$, $ M_1M_6$ | . | -2 | t^2.11 + t^2.7 + t^2.79 + t^3.04 + t^3.3 + t^3.55 + 2*t^3.8 + t^4.06 + t^4.14 + t^4.23 + t^4.31 + t^4.39 + t^4.48 + t^4.82 + t^4.9 + t^5.16 + 2*t^5.41 + t^5.49 + t^5.57 + t^5.83 + t^5.92 - 2*t^6. + t^6.08 + t^6.17 + 2*t^6.34 + t^6.43 + 2*t^6.51 + 3*t^6.59 + 3*t^6.84 + 2*t^6.93 + t^7.02 + 2*t^7.1 + 2*t^7.18 + t^7.26 + t^7.35 + 3*t^7.52 + 3*t^7.61 + 2*t^7.86 + 2*t^7.94 + t^8.03 + t^8.11 + 2*t^8.2 + 2*t^8.28 + t^8.29 + t^8.36 + t^8.46 + t^8.54 + 4*t^8.62 - 2*t^8.79 + 2*t^8.87 + t^8.88 + t^8.95 + t^8.96 - t^4.35/y - t^6.47/y + t^7.82/y + t^7.9/y + t^8.16/y + t^8.24/y + t^8.41/y + t^8.49/y - t^8.58/y + t^8.66/y + t^8.75/y + t^8.83/y + (2*t^8.92)/y - t^4.35*y - t^6.47*y + t^7.82*y + t^7.9*y + t^8.16*y + t^8.24*y + t^8.41*y + t^8.49*y - t^8.58*y + t^8.66*y + t^8.75*y + t^8.83*y + 2*t^8.92*y | g1^36*t^2.11 + g1^12*t^2.7 + t^2.79/g1^32 + t^3.04/g1^22 + t^3.3/g1^12 + t^3.55/g1^2 + 2*g1^8*t^3.8 + g1^18*t^4.06 + t^4.14/g1^26 + g1^72*t^4.23 + g1^28*t^4.31 + t^4.39/g1^16 + t^4.48/g1^60 + g1^48*t^4.82 + g1^4*t^4.9 + g1^14*t^5.16 + 2*g1^24*t^5.41 + t^5.49/g1^20 + t^5.57/g1^64 + t^5.83/g1^54 + g1^44*t^5.92 - 2*t^6. + t^6.08/g1^44 + g1^54*t^6.17 + t^6.34/g1^34 + g1^108*t^6.34 + g1^64*t^6.43 + 2*g1^20*t^6.51 + (3*t^6.59)/g1^24 + (3*t^6.84)/g1^14 + t^6.93/g1^58 + g1^84*t^6.93 + g1^40*t^7.02 + (2*t^7.1)/g1^4 + (2*t^7.18)/g1^48 + t^7.26/g1^92 + g1^6*t^7.35 + t^7.52/g1^82 + 2*g1^60*t^7.52 + 3*g1^16*t^7.61 + 2*g1^26*t^7.86 + (2*t^7.94)/g1^18 + g1^80*t^8.03 + g1^36*t^8.11 + (2*t^8.2)/g1^8 + (2*t^8.28)/g1^52 + g1^90*t^8.29 + t^8.36/g1^96 + g1^144*t^8.46 + g1^100*t^8.54 + (2*t^8.62)/g1^86 + 2*g1^56*t^8.62 - (2*t^8.79)/g1^32 + (2*t^8.87)/g1^76 + g1^66*t^8.88 + t^8.95/g1^120 + g1^22*t^8.96 - (g1^6*t^4.35)/y - (g1^42*t^6.47)/y + (g1^48*t^7.82)/y + (g1^4*t^7.9)/y + (g1^14*t^8.16)/y + t^8.24/(g1^30*y) + (g1^24*t^8.41)/y + t^8.49/(g1^20*y) - (g1^78*t^8.58)/y + (g1^34*t^8.66)/y + t^8.75/(g1^10*y) + t^8.83/(g1^54*y) + (2*g1^44*t^8.92)/y - g1^6*t^4.35*y - g1^42*t^6.47*y + g1^48*t^7.82*y + g1^4*t^7.9*y + g1^14*t^8.16*y + (t^8.24*y)/g1^30 + g1^24*t^8.41*y + (t^8.49*y)/g1^20 - g1^78*t^8.58*y + g1^34*t^8.66*y + (t^8.75*y)/g1^10 + (t^8.83*y)/g1^54 + 2*g1^44*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
3843 | $M_1q_1q_2$ + $ 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_4q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_2M_7$ | 0.6778 | 0.8373 | 0.8095 | [X:[], M:[0.6911, 1.103, 0.9779, 0.7353, 1.0221, 1.2647, 0.897], q:[0.7757, 0.5331], qb:[0.489, 0.4081], phi:[0.4485]] | t^2.07 + 2*t^2.69 + t^2.82 + t^3.07 + t^3.55 + 2*t^3.79 + t^4.04 + t^4.15 + t^4.17 + t^4.28 + t^4.41 + t^4.54 + 2*t^4.76 + t^4.9 + t^5.14 + 3*t^5.38 + 2*t^5.51 + t^5.65 + t^5.76 + t^5.87 + t^5.89 - 3*t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
2829 | 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_4q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6884 | 0.8584 | 0.802 | [X:[], M:[0.7083, 1.0972, 0.9884, 0.7315, 1.0116], q:[0.7743, 0.5174], qb:[0.4942, 0.4086], phi:[0.4514]] | t^2.12 + t^2.19 + t^2.71 + t^2.78 + t^3.03 + t^3.29 + t^3.55 + t^3.81 + t^4.06 + t^4.13 + t^4.25 + 2*t^4.32 + 2*t^4.39 + t^4.46 + t^4.83 + 2*t^4.9 + t^4.97 + t^5.16 + t^5.23 + 2*t^5.42 + 2*t^5.49 + t^5.56 + t^5.74 + t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail |