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 |
---|---|---|---|---|---|---|---|---|---|
46250 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6245 | 0.8105 | 0.7705 | [X:[], M:[0.9922, 1.0234, 0.7637, 0.7637], q:[0.748, 0.2598], qb:[0.4883, 0.4883], phi:[0.5039]] | [X:[], M:[[4, 4], [-12, -12], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_2M_3$, $ M_3\phi_1q_2^2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.24 + 2*t^2.29 + t^2.98 + t^3.02 + 2*t^3.07 + 2*t^3.76 + 3*t^4.44 + 3*t^4.49 + 4*t^4.54 + 3*t^4.58 + 2*t^5.22 + 4*t^5.27 + 4*t^5.31 + 4*t^5.36 - t^6. + 5*t^6.05 + 2*t^6.09 + 3*t^6.14 + 2*t^6.69 + 8*t^6.73 + 4*t^6.78 + 8*t^6.83 + 4*t^6.87 + t^7.46 + 8*t^7.51 + 9*t^7.56 + 7*t^7.61 + 6*t^7.65 - 2*t^8.15 - 4*t^8.24 - 2*t^8.29 + 10*t^8.34 + 6*t^8.38 + 6*t^8.43 + 5*t^8.88 + t^8.93 - t^4.51/y - (2*t^6.8)/y + t^7.44/y + t^7.49/y + (4*t^7.54)/y + (4*t^8.22)/y + (4*t^8.27)/y + (6*t^8.31)/y + (4*t^8.36)/y - t^4.51*y - 2*t^6.8*y + t^7.44*y + t^7.49*y + 4*t^7.54*y + 4*t^8.22*y + 4*t^8.27*y + 6*t^8.31*y + 4*t^8.36*y | (g1^7*t^2.24)/g2^5 + (g2^7*t^2.24)/g1^5 + t^2.29/(g1*g2^13) + t^2.29/(g1^13*g2) + g1^4*g2^4*t^2.98 + t^3.02/(g1^4*g2^4) + (2*t^3.07)/(g1^12*g2^12) + (g1^5*t^3.76)/g2^7 + (g2^5*t^3.76)/g1^7 + (g1^22*t^4.44)/g2^2 + g1^10*g2^10*t^4.44 + (g2^22*t^4.44)/g1^2 + (g1^14*t^4.49)/g2^10 + g1^2*g2^2*t^4.49 + (g2^14*t^4.49)/g1^10 + (g1^6*t^4.54)/g2^18 + (2*t^4.54)/(g1^6*g2^6) + (g2^6*t^4.54)/g1^18 + t^4.58/(g1^2*g2^26) + t^4.58/(g1^14*g2^14) + t^4.58/(g1^26*g2^2) + (g1^11*t^5.22)/g2 + (g2^11*t^5.22)/g1 + (2*g1^3*t^5.27)/g2^9 + (2*g2^3*t^5.27)/g1^9 + (2*t^5.31)/(g1^5*g2^17) + (2*t^5.31)/(g1^17*g2^5) + (2*t^5.36)/(g1^13*g2^25) + (2*t^5.36)/(g1^25*g2^13) - t^6. + (g1^4*t^6.05)/g2^20 + (3*t^6.05)/(g1^8*g2^8) + (g2^4*t^6.05)/g1^20 + (2*t^6.09)/(g1^16*g2^16) + (3*t^6.14)/(g1^24*g2^24) + (g1^29*t^6.69)/g2^7 + (g2^29*t^6.69)/g1^7 + (2*g1^21*t^6.73)/g2^15 + (2*g1^9*t^6.73)/g2^3 + (2*g2^9*t^6.73)/g1^3 + (2*g2^21*t^6.73)/g1^15 + (g1^13*t^6.78)/g2^23 + (g1*t^6.78)/g2^11 + (g2*t^6.78)/g1^11 + (g2^13*t^6.78)/g1^23 + (g1^5*t^6.83)/g2^31 + (3*t^6.83)/(g1^7*g2^19) + (3*t^6.83)/(g1^19*g2^7) + (g2^5*t^6.83)/g1^31 + t^6.87/(g1^3*g2^39) + t^6.87/(g1^15*g2^27) + t^6.87/(g1^27*g2^15) + t^6.87/(g1^39*g2^3) + (g1^18*t^7.46)/g2^6 - g1^6*g2^6*t^7.46 + (g2^18*t^7.46)/g1^6 + (3*g1^10*t^7.51)/g2^14 + (2*t^7.51)/(g1^2*g2^2) + (3*g2^10*t^7.51)/g1^14 + (3*g1^2*t^7.56)/g2^22 + (3*t^7.56)/(g1^10*g2^10) + (3*g2^2*t^7.56)/g1^22 + (2*t^7.61)/(g1^6*g2^30) + (3*t^7.61)/(g1^18*g2^18) + (2*t^7.61)/(g1^30*g2^6) + (2*t^7.65)/(g1^14*g2^38) + (2*t^7.65)/(g1^26*g2^26) + (2*t^7.65)/(g1^38*g2^14) - g1^23*g2^11*t^8.15 - g1^11*g2^23*t^8.15 + (g1^27*t^8.2)/g2^9 - g1^15*g2^3*t^8.2 - g1^3*g2^15*t^8.2 + (g2^27*t^8.2)/g1^9 - (2*g1^7*t^8.24)/g2^5 - (2*g2^7*t^8.24)/g1^5 - t^8.29/(g1*g2^13) - t^8.29/(g1^13*g2) + (g1^3*t^8.34)/g2^33 + (4*t^8.34)/(g1^9*g2^21) + (4*t^8.34)/(g1^21*g2^9) + (g2^3*t^8.34)/g1^33 + (3*t^8.38)/(g1^17*g2^29) + (3*t^8.38)/(g1^29*g2^17) + (3*t^8.43)/(g1^25*g2^37) + (3*t^8.43)/(g1^37*g2^25) + (g1^44*t^8.88)/g2^4 + g1^32*g2^8*t^8.88 + g1^20*g2^20*t^8.88 + g1^8*g2^32*t^8.88 + (g2^44*t^8.88)/g1^4 + (g1^36*t^8.93)/g2^12 - g1^12*g2^12*t^8.93 + (g2^36*t^8.93)/g1^12 + (2*g1^28*t^8.98)/g2^20 - 4*g1^4*g2^4*t^8.98 + (2*g2^28*t^8.98)/g1^20 - t^4.51/(g1^2*g2^2*y) - t^6.8/(g1^3*g2^15*y) - t^6.8/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.44)/y + (g1^2*g2^2*t^7.49)/y + (g1^6*t^7.54)/(g2^18*y) + (2*t^7.54)/(g1^6*g2^6*y) + (g2^6*t^7.54)/(g1^18*y) + (2*g1^11*t^8.22)/(g2*y) + (2*g2^11*t^8.22)/(g1*y) + (2*g1^3*t^8.27)/(g2^9*y) + (2*g2^3*t^8.27)/(g1^9*y) + (3*t^8.31)/(g1^5*g2^17*y) + (3*t^8.31)/(g1^17*g2^5*y) + (2*t^8.36)/(g1^13*g2^25*y) + (2*t^8.36)/(g1^25*g2^13*y) - (t^4.51*y)/(g1^2*g2^2) - (t^6.8*y)/(g1^3*g2^15) - (t^6.8*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.44*y + g1^2*g2^2*t^7.49*y + (g1^6*t^7.54*y)/g2^18 + (2*t^7.54*y)/(g1^6*g2^6) + (g2^6*t^7.54*y)/g1^18 + (2*g1^11*t^8.22*y)/g2 + (2*g2^11*t^8.22*y)/g1 + (2*g1^3*t^8.27*y)/g2^9 + (2*g2^3*t^8.27*y)/g1^9 + (3*t^8.31*y)/(g1^5*g2^17) + (3*t^8.31*y)/(g1^17*g2^5) + (2*t^8.36*y)/(g1^13*g2^25) + (2*t^8.36*y)/(g1^25*g2^13) |
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 |
---|---|---|---|---|---|---|---|---|
46417 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6255 | 0.8112 | 0.7711 | [X:[], M:[0.9857, 1.043, 0.7751, 0.7751, 0.9857], q:[0.7464, 0.2679], qb:[0.4785, 0.4785], phi:[0.5072]] | 2*t^2.24 + 2*t^2.33 + 2*t^2.96 + 2*t^3.13 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 4*t^4.56 + 3*t^4.65 + 4*t^5.2 + 4*t^5.28 + 2*t^5.37 + 4*t^5.45 + 2*t^5.91 - 2*t^6. - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
46045 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6066 | 0.7782 | 0.7795 | [X:[], M:[0.9854, 1.0439, 0.7625], q:[0.7463, 0.2683], qb:[0.4911, 0.4649], phi:[0.5073]] | t^2.2 + t^2.28 + t^2.29 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + t^4.39 + t^4.4 + t^4.47 + t^4.48 + t^4.49 + t^4.56 + t^4.57 + t^4.58 + t^5.16 + t^5.23 + 2*t^5.24 + t^5.32 + 2*t^5.33 + t^5.41 + 2*t^5.42 + t^5.83 + t^5.91 + t^5.92 - t^6. - t^4.52/y - t^4.52*y | detail |