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 |
---|---|---|---|---|---|---|---|---|---|
552 | 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_5\phi_1^2$ | 0.6823 | 0.8482 | 0.8043 | [X:[], M:[0.6974, 1.1009, 1.0043, 0.6888, 1.1009], q:[0.7752, 0.5274], qb:[0.4683, 0.4308], phi:[0.4496]] | [X:[], M:[[12, 12], [-4, -4], [7, 11], [-2, -10], [-4, -4]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_2M_4$, $ M_4M_5$, $ M_1M_2$, $ M_1M_5$, $ M_4q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_1$ | . | -3 | t^2.07 + t^2.09 + t^2.87 + t^3.01 + 2*t^3.3 + t^3.62 + t^3.73 + t^4.05 + t^4.13 + 2*t^4.16 + t^4.18 + t^4.22 + t^4.34 + t^4.51 + t^4.94 + t^4.97 + t^5.08 + t^5.1 + 2*t^5.37 + 2*t^5.39 + t^5.68 + t^5.75 + t^5.8 - 3*t^6. + t^6.03 + t^6.14 + t^6.18 + t^6.2 + 2*t^6.22 + 2*t^6.25 + t^6.28 + 2*t^6.32 + t^6.4 + t^6.49 + t^6.58 + 3*t^6.61 + t^6.63 + t^6.92 + t^7.01 + 2*t^7.03 + t^7.06 + t^7.1 + t^7.15 + t^7.17 + t^7.2 + t^7.35 + t^7.39 + 2*t^7.44 + 3*t^7.46 + 2*t^7.49 + t^7.53 + t^7.75 + t^7.78 + 2*t^7.82 + t^7.84 + t^7.86 + t^7.89 - 3*t^8.07 - 2*t^8.09 + t^8.12 + t^8.2 + t^8.23 + t^8.24 + t^8.27 + 2*t^8.29 + 3*t^8.32 + 2*t^8.34 + t^8.37 + t^8.38 + 2*t^8.41 + t^8.47 + t^8.49 + t^8.56 + t^8.62 + t^8.65 + 4*t^8.67 + 3*t^8.7 + t^8.74 + t^8.85 - 3*t^8.87 - t^4.35/y - t^6.42/y - t^6.44/y + t^7.05/y + t^7.16/y + t^7.34/y - t^7.36/y - t^7.65/y + t^7.94/y + t^7.97/y + t^8.08/y + t^8.1/y + t^8.26/y + t^8.28/y + (2*t^8.37)/y + (2*t^8.39)/y - t^8.48/y - t^8.51/y - t^8.53/y + t^8.68/y + t^8.71/y + t^8.8/y + t^8.82/y + t^8.89/y - t^4.35*y - t^6.42*y - t^6.44*y + t^7.05*y + t^7.16*y + t^7.34*y - t^7.36*y - t^7.65*y + t^7.94*y + t^7.97*y + t^8.08*y + t^8.1*y + t^8.26*y + t^8.28*y + 2*t^8.37*y + 2*t^8.39*y - t^8.48*y - t^8.51*y - t^8.53*y + t^8.68*y + t^8.71*y + t^8.8*y + t^8.82*y + t^8.89*y | t^2.07/(g1^2*g2^10) + g1^12*g2^12*t^2.09 + t^2.87/(g1^11*g2^7) + g1^7*g2^11*t^3.01 + (2*t^3.3)/(g1^4*g2^4) + (g2^3*t^3.62)/g1 + (g1^3*t^3.73)/g2 + g1^6*g2^6*t^4.05 + t^4.13/(g1^4*g2^20) + 2*g1^10*g2^2*t^4.16 + g1^24*g2^24*t^4.18 + t^4.22/(g1^9*g2^5) + t^4.34/(g1^5*g2^9) + t^4.51/(g1^20*g2^20) + t^4.94/(g1^13*g2^17) + g1*g2^5*t^4.97 + g1^5*g2*t^5.08 + g1^19*g2^23*t^5.1 + (2*t^5.37)/(g1^6*g2^14) + 2*g1^8*g2^8*t^5.39 + t^5.68/(g1^3*g2^7) + t^5.75/(g1^22*g2^14) + (g1*t^5.8)/g2^11 - 3*t^6. + g1^14*g2^22*t^6.03 + g1^18*g2^18*t^6.14 + t^6.18/(g1^15*g2^11) + t^6.2/(g1^6*g2^30) + (2*g1^8*t^6.22)/g2^8 + 2*g1^22*g2^14*t^6.25 + g1^36*g2^36*t^6.28 + 2*g1^3*g2^7*t^6.32 + t^6.4/(g1^7*g2^19) + t^6.49/(g1^12*g2^4) + t^6.58/(g1^22*g2^30) + (3*t^6.61)/(g1^8*g2^8) + g1^6*g2^14*t^6.63 + t^6.92/(g1^5*g2) + t^7.01/(g1^15*g2^27) + (2*t^7.03)/(g1*g2^5) + g1^13*g2^17*t^7.06 + t^7.1/(g1^20*g2^12) + (g1^3*t^7.15)/g2^9 + g1^17*g2^13*t^7.17 + g1^31*g2^35*t^7.2 + g1^2*g2^2*t^7.35 + t^7.39/(g1^31*g2^27) + (2*t^7.44)/(g1^8*g2^24) + (3*g1^6*t^7.46)/g2^2 + 2*g1^20*g2^20*t^7.49 + t^7.53/(g1^13*g2^9) + t^7.75/(g1^5*g2^17) + g1^9*g2^5*t^7.78 + (2*t^7.82)/(g1^24*g2^24) + t^7.84/(g1^10*g2^2) + t^7.86/(g1*g2^21) + g1^13*g2*t^7.89 - (3*t^8.07)/(g1^2*g2^10) - 2*g1^12*g2^12*t^8.09 + g1^26*g2^34*t^8.12 + g1^16*g2^8*t^8.2 + g1^30*g2^30*t^8.23 + t^8.24/(g1^17*g2^21) + t^8.27/(g1^8*g2^40) + (2*g1^6*t^8.29)/g2^18 + 3*g1^20*g2^4*t^8.32 + 2*g1^34*g2^26*t^8.34 + g1^48*g2^48*t^8.37 + (g1*t^8.38)/g2^3 + 2*g1^15*g2^19*t^8.41 + t^8.47/(g1^9*g2^29) + (g1^5*t^8.49)/g2^7 + t^8.56/(g1^14*g2^14) + t^8.62/(g1^33*g2^21) + t^8.65/(g1^24*g2^40) + (4*t^8.67)/(g1^10*g2^18) + 3*g1^4*g2^4*t^8.7 + t^8.74/(g1^29*g2^25) + t^8.85/(g1^25*g2^29) - (3*t^8.87)/(g1^11*g2^7) - (g1^2*g2^2*t^4.35)/y - t^6.42/(g2^8*y) - (g1^14*g2^14*t^6.44)/y + (g1^6*g2^6*t^7.05)/y + (g1^10*g2^2*t^7.16)/y + t^7.34/(g1^5*g2^9*y) - (g1^9*g2^13*t^7.36)/y - t^7.65/(g1^2*g2^2*y) + t^7.94/(g1^13*g2^17*y) + (g1*g2^5*t^7.97)/y + (g1^5*g2*t^8.08)/y + (g1^19*g2^23*t^8.1)/y + t^8.26/(g1^10*g2^10*y) + (g1^4*g2^12*t^8.28)/y + (2*t^8.37)/(g1^6*g2^14*y) + (2*g1^8*g2^8*t^8.39)/y - t^8.48/(g1^2*g2^18*y) - (g1^12*g2^4*t^8.51)/y - (g1^26*g2^26*t^8.53)/y + t^8.68/(g1^3*g2^7*y) + (g1^11*g2^15*t^8.71)/y + (g1*t^8.8)/(g2^11*y) + (g1^15*g2^11*t^8.82)/y + (g2^4*t^8.89)/(g1^4*y) - g1^2*g2^2*t^4.35*y - (t^6.42*y)/g2^8 - g1^14*g2^14*t^6.44*y + g1^6*g2^6*t^7.05*y + g1^10*g2^2*t^7.16*y + (t^7.34*y)/(g1^5*g2^9) - g1^9*g2^13*t^7.36*y - (t^7.65*y)/(g1^2*g2^2) + (t^7.94*y)/(g1^13*g2^17) + g1*g2^5*t^7.97*y + g1^5*g2*t^8.08*y + g1^19*g2^23*t^8.1*y + (t^8.26*y)/(g1^10*g2^10) + g1^4*g2^12*t^8.28*y + (2*t^8.37*y)/(g1^6*g2^14) + 2*g1^8*g2^8*t^8.39*y - (t^8.48*y)/(g1^2*g2^18) - g1^12*g2^4*t^8.51*y - g1^26*g2^26*t^8.53*y + (t^8.68*y)/(g1^3*g2^7) + g1^11*g2^15*t^8.71*y + (g1*t^8.8*y)/g2^11 + g1^15*g2^11*t^8.82*y + (g2^4*t^8.89*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1901 | $M_1q_1q_2$ + $ 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_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.6808 | 0.8454 | 0.8054 | [X:[], M:[0.6946, 1.1018, 0.98, 0.7345, 1.1018], q:[0.7755, 0.53], qb:[0.49, 0.4082], phi:[0.4491]] | t^2.08 + t^2.2 + t^2.81 + t^2.94 + 2*t^3.31 + t^3.55 + t^3.8 + t^4.04 + t^4.16 + t^4.17 + 2*t^4.29 + 2*t^4.41 + t^4.53 + t^4.9 + 2*t^5.02 + t^5.14 + 2*t^5.39 + 2*t^5.51 + t^5.63 + t^5.75 + t^5.88 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
348 | 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$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail |