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 |
---|---|---|---|---|---|---|---|---|---|
46103 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ | 0.6056 | 0.7771 | 0.7792 | [X:[], M:[0.9925, 1.0225, 1.0075, 0.7511], q:[0.7481, 0.2594], qb:[0.5008, 0.4768], phi:[0.5037]] | [X:[], M:[[4, 4], [-12, -12], [-4, -4], [-13, -1]], 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 |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_4\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_4\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.21 + t^2.25 + t^2.28 + 2*t^3.02 + 2*t^3.07 + t^3.67 + t^3.72 + t^3.79 + t^4.37 + t^4.42 + t^4.44 + t^4.46 + t^4.49 + t^4.51 + t^4.52 + t^4.53 + t^4.56 + 2*t^5.23 + 3*t^5.28 + 2*t^5.3 + 2*t^5.32 + t^5.35 + t^5.88 + t^5.93 + t^5.97 - 2*t^6. + 2*t^6.04 + 4*t^6.09 + 3*t^6.13 + t^6.58 + 2*t^6.62 + t^6.67 + 2*t^6.7 + t^6.71 + 3*t^6.74 + t^6.76 + 2*t^6.79 + t^6.8 + t^6.81 + t^6.84 + t^6.86 + 2*t^7.39 - t^7.42 + 3*t^7.44 + 3*t^7.48 - t^7.49 + t^7.51 + 3*t^7.53 + t^7.54 + 2*t^7.56 + 2*t^7.57 + 3*t^7.58 + t^7.6 + t^7.63 + t^8.05 + 2*t^8.09 + t^8.14 - t^8.16 + t^8.18 - 3*t^8.21 + t^8.23 - t^8.24 - t^8.25 - 3*t^8.28 + 4*t^8.3 + t^8.31 + t^8.33 + 5*t^8.34 + 2*t^8.37 + 3*t^8.39 + t^8.42 + t^8.74 + t^8.79 + t^8.82 + 2*t^8.83 + 2*t^8.88 + t^8.89 + t^8.91 + t^8.92 - t^8.93 + 2*t^8.95 + t^8.96 + t^8.97 - 2*t^8.98 - t^4.51/y - t^6.76/y + t^7.44/y + t^7.46/y + (2*t^7.49)/y - t^7.58/y + (2*t^8.23)/y + t^8.26/y + (4*t^8.28)/y + (2*t^8.3)/y + (2*t^8.32)/y + (2*t^8.35)/y + t^8.88/y + (2*t^8.93)/y + t^8.96/y + t^8.97/y - t^4.51*y - t^6.76*y + t^7.44*y + t^7.46*y + 2*t^7.49*y - t^7.58*y + 2*t^8.23*y + t^8.26*y + 4*t^8.28*y + 2*t^8.3*y + 2*t^8.32*y + 2*t^8.35*y + t^8.88*y + 2*t^8.93*y + t^8.96*y + t^8.97*y | (g2^7*t^2.21)/g1^5 + t^2.25/(g1^13*g2) + (g1^7*t^2.28)/g2^5 + (2*t^3.02)/(g1^4*g2^4) + (2*t^3.07)/(g1^12*g2^12) + g1*g2^13*t^3.67 + (g2^5*t^3.72)/g1^7 + (g1^5*t^3.79)/g2^7 + (g2^22*t^4.37)/g1^2 + (g2^14*t^4.42)/g1^10 + g1^10*g2^10*t^4.44 + (g2^6*t^4.46)/g1^18 + g1^2*g2^2*t^4.49 + t^4.51/(g1^26*g2^2) + (g1^22*t^4.52)/g2^2 + t^4.53/(g1^6*g2^6) + (g1^14*t^4.56)/g2^10 + (2*g2^3*t^5.23)/g1^9 + (3*t^5.28)/(g1^17*g2^5) + (2*g1^3*t^5.3)/g2^9 + (2*t^5.32)/(g1^25*g2^13) + t^5.35/(g1^5*g2^17) + (g2^20*t^5.88)/g1^4 + (g2^12*t^5.93)/g1^12 + (g2^4*t^5.97)/g1^20 - 2*t^6. + (2*t^6.04)/(g1^8*g2^8) + (4*t^6.09)/(g1^16*g2^16) + (3*t^6.13)/(g1^24*g2^24) + (g2^29*t^6.58)/g1^7 + (2*g2^21*t^6.62)/g1^15 + (g2^13*t^6.67)/g1^23 + (2*g2^9*t^6.7)/g1^3 + (g2^5*t^6.71)/g1^31 + (3*g2*t^6.74)/g1^11 + t^6.76/(g1^39*g2^3) + (2*t^6.79)/(g1^19*g2^7) + (g1^29*t^6.8)/g2^7 + (g1*t^6.81)/g2^11 + (g1^21*t^6.84)/g2^15 + t^6.86/(g1^7*g2^19) + (2*g2^18*t^7.39)/g1^6 - g1^14*g2^14*t^7.42 + (3*g2^10*t^7.44)/g1^14 + (3*g2^2*t^7.48)/g1^22 - g1^26*g2^2*t^7.49 + t^7.51/(g1^2*g2^2) + (3*t^7.53)/(g1^30*g2^6) + (g1^18*t^7.54)/g2^6 + (2*t^7.56)/(g1^10*g2^10) + (2*t^7.57)/(g1^38*g2^14) + (3*g1^10*t^7.58)/g2^14 + t^7.6/(g1^18*g2^18) + (g1^2*t^7.63)/g2^22 + (g2^35*t^8.05)/g1 + (2*g2^27*t^8.09)/g1^9 + (g2^19*t^8.14)/g1^17 - g1^3*g2^15*t^8.16 + (g2^11*t^8.18)/g1^25 - (3*g2^7*t^8.21)/g1^5 + (g2^3*t^8.23)/g1^33 - g1^15*g2^3*t^8.24 - t^8.25/(g1^13*g2) - (3*g1^7*t^8.28)/g2^5 + (4*t^8.3)/(g1^21*g2^9) + (g1^27*t^8.31)/g2^9 + t^8.33/(g1*g2^13) + (5*t^8.34)/(g1^29*g2^17) + (2*t^8.37)/(g1^9*g2^21) + (3*t^8.39)/(g1^37*g2^25) + t^8.42/(g1^17*g2^29) + (g2^44*t^8.74)/g1^4 + (g2^36*t^8.79)/g1^12 + g1^8*g2^32*t^8.82 + (2*g2^28*t^8.83)/g1^20 + (2*g2^20*t^8.88)/g1^28 + g1^20*g2^20*t^8.89 + (g2^16*t^8.91)/g1^8 + (g2^12*t^8.92)/g1^36 - g1^12*g2^12*t^8.93 + (2*g2^8*t^8.95)/g1^16 + g1^32*g2^8*t^8.96 + (g2^4*t^8.97)/g1^44 - 2*g1^4*g2^4*t^8.98 - t^4.51/(g1^2*g2^2*y) - t^6.76/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.44)/y + (g2^6*t^7.46)/(g1^18*y) + (2*g1^2*g2^2*t^7.49)/y - t^7.58/(g1^14*g2^14*y) + (2*g2^3*t^8.23)/(g1^9*y) + (g1^11*t^8.26)/(g2*y) + (4*t^8.28)/(g1^17*g2^5*y) + (2*g1^3*t^8.3)/(g2^9*y) + (2*t^8.32)/(g1^25*g2^13*y) + (2*t^8.35)/(g1^5*g2^17*y) + (g2^20*t^8.88)/(g1^4*y) + (2*g2^12*t^8.93)/(g1^12*y) + (g1^8*g2^8*t^8.96)/y + (g2^4*t^8.97)/(g1^20*y) - (t^4.51*y)/(g1^2*g2^2) - (t^6.76*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.44*y + (g2^6*t^7.46*y)/g1^18 + 2*g1^2*g2^2*t^7.49*y - (t^7.58*y)/(g1^14*g2^14) + (2*g2^3*t^8.23*y)/g1^9 + (g1^11*t^8.26*y)/g2 + (4*t^8.28*y)/(g1^17*g2^5) + (2*g1^3*t^8.3*y)/g2^9 + (2*t^8.32*y)/(g1^25*g2^13) + (2*t^8.35*y)/(g1^5*g2^17) + (g2^20*t^8.88*y)/g1^4 + (2*g2^12*t^8.93*y)/g1^12 + g1^8*g2^8*t^8.96*y + (g2^4*t^8.97*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
46471 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6244 | 0.811 | 0.77 | [X:[], M:[0.9923, 1.0232, 1.0077, 0.7621, 0.7496], q:[0.7481, 0.2597], qb:[0.4899, 0.4869], phi:[0.5039]] | t^2.24 + 2*t^2.25 + t^2.29 + 2*t^3.02 + 2*t^3.07 + t^3.7 + t^3.76 + t^4.43 + t^4.44 + t^4.45 + t^4.48 + 2*t^4.49 + 3*t^4.5 + 3*t^4.53 + t^4.57 + 2*t^5.26 + 4*t^5.27 + 3*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.94 + t^5.95 - 3*t^6. - t^4.51/y - t^4.51*y | detail | |
46618 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6051 | 0.7764 | 0.7793 | [X:[], M:[0.9973, 1.0082, 1.0027, 0.7575], q:[0.7493, 0.2534], qb:[0.4932, 0.4986], phi:[0.5014]] | t^2.24 + t^2.26 + t^2.27 + 2*t^3.01 + 2*t^3.02 + 2*t^3.74 + t^3.76 + t^4.46 + 2*t^4.48 + 2*t^4.5 + 2*t^4.51 + t^4.53 + t^4.55 + 2*t^5.25 + 3*t^5.26 + 3*t^5.28 + 2*t^5.3 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
46048 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_3$ | 0.587 | 0.7429 | 0.7902 | [X:[], M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | 2*t^2.24 + 2*t^3.04 + 2*t^3.12 + 2*t^3.68 + 2*t^3.76 + 3*t^4.4 + 3*t^4.48 + 4*t^5.28 + 2*t^5.36 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y | detail |