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 |
---|---|---|---|---|---|---|---|---|---|
3541 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ | 0.7004 | 0.895 | 0.7826 | [X:[], M:[0.8302, 1.0566, 1.1698, 0.7171, 0.8302, 0.698, 0.9434], q:[0.4056, 0.7641], qb:[0.4246, 0.5188], phi:[0.4717]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [14], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_5M_6$, $ M_1M_4$, $ M_4M_5$, $ M_6q_1\tilde{q}_2$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_7q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -2 | t^2.09 + t^2.15 + 2*t^2.49 + t^2.77 + 2*t^2.83 + t^3.57 + t^3.85 + t^3.96 + 2*t^4.19 + 2*t^4.25 + t^4.3 + t^4.53 + 2*t^4.58 + 2*t^4.64 + t^4.87 + 3*t^4.92 + 5*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 2*t^5.6 + 3*t^5.66 - 2*t^6. + 2*t^6.06 + t^6.11 + t^6.28 + 3*t^6.34 + 3*t^6.4 + 3*t^6.45 + 2*t^6.62 + 5*t^6.68 + 3*t^6.74 + 4*t^6.79 + 2*t^6.96 + 5*t^7.02 + 5*t^7.08 + 4*t^7.13 + t^7.3 + 2*t^7.36 + 3*t^7.42 + 6*t^7.47 + t^7.53 + t^7.64 + t^7.7 + 6*t^7.75 + 8*t^7.81 + t^7.93 + 2*t^8.04 + 3*t^8.15 + t^8.21 + t^8.27 + t^8.32 + 4*t^8.38 + t^8.43 + 4*t^8.55 + 3*t^8.6 + 2*t^8.72 - 2*t^8.83 + 6*t^8.89 + 7*t^8.94 - t^4.42/y - t^6.51/y - t^6.57/y - t^6.91/y + (3*t^7.58)/y + (2*t^7.64)/y + t^7.87/y + (4*t^7.92)/y + (3*t^7.98)/y + (3*t^8.26)/y + (5*t^8.32)/y + t^8.6/y + t^8.66/y + t^8.94/y - t^4.42*y - t^6.51*y - t^6.57*y - t^6.91*y + 3*t^7.58*y + 2*t^7.64*y + t^7.87*y + 4*t^7.92*y + 3*t^7.98*y + 3*t^8.26*y + 5*t^8.32*y + t^8.6*y + t^8.66*y + t^8.94*y | g1^14*t^2.09 + t^2.15/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.77 + (2*t^2.83)/g1^4 + t^3.57/g1^22 + g1^20*t^3.85 + t^3.96/g1^48 + 2*g1^28*t^4.19 + (2*t^4.25)/g1^6 + t^4.3/g1^40 + g1^36*t^4.53 + 2*g1^2*t^4.58 + (2*t^4.64)/g1^32 + g1^44*t^4.87 + 3*g1^10*t^4.92 + (5*t^4.98)/g1^24 + 2*g1^18*t^5.26 + (4*t^5.32)/g1^16 + g1^60*t^5.55 + 2*g1^26*t^5.6 + (3*t^5.66)/g1^8 - 2*t^6. + (2*t^6.06)/g1^34 + t^6.11/g1^68 + g1^42*t^6.28 + 3*g1^8*t^6.34 + (3*t^6.4)/g1^26 + (3*t^6.45)/g1^60 + 2*g1^50*t^6.62 + 5*g1^16*t^6.68 + (3*t^6.74)/g1^18 + (4*t^6.79)/g1^52 + 2*g1^58*t^6.96 + 5*g1^24*t^7.02 + (5*t^7.08)/g1^10 + (4*t^7.13)/g1^44 + g1^66*t^7.3 + 2*g1^32*t^7.36 + (3*t^7.42)/g1^2 + (6*t^7.47)/g1^36 + t^7.53/g1^70 + g1^74*t^7.64 + g1^40*t^7.7 + 6*g1^6*t^7.75 + (8*t^7.81)/g1^28 + t^7.93/g1^96 + 2*g1^48*t^8.04 + (3*t^8.15)/g1^20 + t^8.21/g1^54 + t^8.27/g1^88 + g1^90*t^8.32 + 4*g1^56*t^8.38 + g1^22*t^8.43 + (4*t^8.55)/g1^46 + (3*t^8.6)/g1^80 + 2*g1^64*t^8.72 - (2*t^8.83)/g1^4 + (6*t^8.89)/g1^38 + (7*t^8.94)/g1^72 - t^4.42/(g1^2*y) - (g1^12*t^6.51)/y - t^6.57/(g1^22*y) - t^6.91/(g1^14*y) + (3*g1^2*t^7.58)/y + (2*t^7.64)/(g1^32*y) + (g1^44*t^7.87)/y + (4*g1^10*t^7.92)/y + (3*t^7.98)/(g1^24*y) + (3*g1^18*t^8.26)/y + (5*t^8.32)/(g1^16*y) + (g1^26*t^8.6)/y + t^8.66/(g1^8*y) + (g1^34*t^8.94)/y - (t^4.42*y)/g1^2 - g1^12*t^6.51*y - (t^6.57*y)/g1^22 - (t^6.91*y)/g1^14 + 3*g1^2*t^7.58*y + (2*t^7.64*y)/g1^32 + g1^44*t^7.87*y + 4*g1^10*t^7.92*y + (3*t^7.98*y)/g1^24 + 3*g1^18*t^8.26*y + (5*t^8.32*y)/g1^16 + g1^26*t^8.6*y + (t^8.66*y)/g1^8 + g1^34*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
5217 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7212 | 0.9361 | 0.7705 | [X:[], M:[0.8314, 1.0562, 1.1686, 0.719, 0.8314, 0.6967, 0.9438, 0.6745], q:[0.4046, 0.7641], qb:[0.4268, 0.517], phi:[0.4719]] | t^2.02 + t^2.09 + t^2.16 + 2*t^2.49 + t^2.76 + 2*t^2.83 + t^3.57 + t^3.84 + t^4.05 + t^4.11 + 3*t^4.18 + 2*t^4.25 + t^4.31 + 3*t^4.52 + 2*t^4.58 + 2*t^4.65 + t^4.79 + 3*t^4.85 + 3*t^4.92 + 5*t^4.99 + 2*t^5.26 + 4*t^5.33 + t^5.53 + 3*t^5.6 + 3*t^5.66 + t^5.87 - 2*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
2954 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6952 | 0.8862 | 0.7845 | [X:[], M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.09 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^3.99 + 2*t^4.17 + 2*t^4.25 + t^4.32 + t^4.51 + 2*t^4.58 + 2*t^4.66 + t^4.85 + 2*t^4.92 + 4*t^4.99 + 3*t^5.25 + 3*t^5.33 + t^5.52 + t^5.59 + 3*t^5.66 + t^5.93 - t^6. - t^4.42/y - t^4.42*y | detail |