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 |
---|---|---|---|---|---|---|---|---|---|
992 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ | 0.6987 | 0.854 | 0.8182 | [X:[], M:[1.0279, 0.9112, 0.9721, 0.9671, 1.0329, 1.0279], q:[0.5165, 0.4556], qb:[0.5115, 0.5773], phi:[0.4848]] | [X:[], M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [12, 4]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$ | . | -3 | t^2.73 + t^2.9 + t^2.91 + 2*t^3.08 + t^3.1 + t^3.28 + t^4.19 + t^4.36 + t^4.37 + t^4.52 + t^4.54 + 2*t^4.55 + t^4.72 + t^4.74 + t^4.92 + t^5.47 + t^5.64 + t^5.81 + t^5.82 + 3*t^5.99 - 3*t^6. + t^6.01 + 2*t^6.17 + t^6.19 + t^6.37 + t^6.38 + t^6.56 + t^6.92 + t^7.09 + 2*t^7.1 + 2*t^7.26 + t^7.27 + 2*t^7.29 + t^7.42 + t^7.43 + t^7.44 + t^7.45 + t^7.46 + t^7.47 + t^7.61 + 2*t^7.62 + t^7.64 + 2*t^7.65 + 2*t^7.8 - t^7.81 + 2*t^7.82 + 2*t^7.83 + 2*t^8. - t^8.01 + 2*t^8.02 + 2*t^8.2 + 2*t^8.38 + t^8.54 + t^8.55 + t^8.56 + t^8.71 - 2*t^8.73 + 2*t^8.74 + t^8.88 + t^8.89 - t^8.9 - t^8.91 - t^8.92 - t^4.45/y - t^7.19/y - t^7.36/y + t^7.37/y - t^7.54/y + t^7.55/y + t^7.72/y + t^8.63/y + t^8.64/y + t^8.81/y + (2*t^8.82)/y + t^8.83/y + (4*t^8.99)/y - t^4.45*y - t^7.19*y - t^7.36*y + t^7.37*y - t^7.54*y + t^7.55*y + t^7.72*y + t^8.63*y + t^8.64*y + t^8.81*y + 2*t^8.82*y + t^8.83*y + 4*t^8.99*y | t^2.73/(g1^16*g2^16) + (g1^8*t^2.9)/g2^8 + t^2.91/(g1^2*g2^6) + 2*g1^12*g2^4*t^3.08 + (g2^8*t^3.1)/g1^8 + (g2^20*t^3.28)/g1^4 + t^4.19/(g1^17*g2^19) + (g1^7*t^4.36)/g2^11 + t^4.37/(g1^13*g2^7) + (g1^31*t^4.52)/g2^3 + g1^11*g2*t^4.54 + (2*g2^5*t^4.55)/g1^9 + g1^15*g2^13*t^4.72 + (g2^17*t^4.74)/g1^5 + (g2^29*t^4.92)/g1 + t^5.47/(g1^32*g2^32) + t^5.64/(g1^18*g2^22) + (g1^6*t^5.81)/g2^14 + t^5.82/(g1^4*g2^12) + (g1^20*t^5.99)/g2^4 + (2*g1^10*t^5.99)/g2^2 - 3*t^6. + (g2^2*t^6.01)/g1^10 + 2*g1^24*g2^8*t^6.17 + (g2^14*t^6.19)/g1^6 + g1^8*g2^24*t^6.37 + (g2^28*t^6.38)/g1^12 + (g2^40*t^6.56)/g1^8 + t^6.92/(g1^33*g2^35) + t^7.09/(g1^9*g2^27) + t^7.1/(g1^19*g2^25) + t^7.1/(g1^29*g2^23) + (g1^15*t^7.26)/g2^19 + (g1^5*t^7.26)/g2^17 + t^7.27/(g1^5*g2^15) + (2*t^7.29)/(g1^25*g2^11) + (g1^39*t^7.42)/g2^11 + (g1^29*t^7.43)/g2^9 + (g1^19*t^7.44)/g2^7 + t^7.45/(g1*g2^3) + t^7.46/(g1^11*g2) + (g2*t^7.47)/g1^21 + 2*g1^43*g2*t^7.61 - g1^33*g2^3*t^7.61 + 2*g1^23*g2^5*t^7.62 + 2*g1^3*g2^9*t^7.64 - (g2^11*t^7.64)/g1^7 + (2*g2^13*t^7.65)/g1^17 + 2*g1^27*g2^17*t^7.8 - g1^17*g2^19*t^7.81 + 2*g1^7*g2^21*t^7.82 + (2*g2^25*t^7.83)/g1^13 + 2*g1^11*g2^33*t^8. - g1*g2^35*t^8.01 + (2*g2^37*t^8.02)/g1^9 + t^8.2/(g1^48*g2^48) + (g2^49*t^8.2)/g1^5 + (2*t^8.38)/(g1^34*g2^38) + t^8.54/(g1^10*g2^30) + t^8.55/(g1^20*g2^28) + t^8.56/(g1^30*g2^26) + (g1^14*t^8.71)/g2^22 + (2*t^8.73)/(g1^6*g2^18) - (4*t^8.73)/(g1^16*g2^16) + (2*t^8.74)/(g1^26*g2^14) + (g1^38*t^8.88)/g2^14 - (g1^28*t^8.89)/g2^12 + (2*g1^18*t^8.89)/g2^10 - (g1^8*t^8.9)/g2^8 - t^8.91/(g1^2*g2^6) - (3*t^8.92)/(g1^12*g2^4) + (2*t^8.92)/(g1^22*g2^2) - t^4.45/(g1*g2^3*y) - t^7.19/(g1^17*g2^19*y) - t^7.36/(g1^3*g2^9*y) + t^7.37/(g1^13*g2^7*y) - (g1^11*g2*t^7.54)/y + (g1*g2^3*t^7.55)/y + (g1^15*g2^13*t^7.72)/y + t^8.63/(g1^8*g2^24*y) + t^8.64/(g1^18*g2^22*y) + (g1^6*t^8.81)/(g2^14*y) + (2*t^8.82)/(g1^4*g2^12*y) + t^8.83/(g1^24*g2^8*y) + (2*g1^20*t^8.99)/(g2^4*y) + (2*g1^10*t^8.99)/(g2^2*y) - (t^4.45*y)/(g1*g2^3) - (t^7.19*y)/(g1^17*g2^19) - (t^7.36*y)/(g1^3*g2^9) + (t^7.37*y)/(g1^13*g2^7) - g1^11*g2*t^7.54*y + g1*g2^3*t^7.55*y + g1^15*g2^13*t^7.72*y + (t^8.63*y)/(g1^8*g2^24) + (t^8.64*y)/(g1^18*g2^22) + (g1^6*t^8.81*y)/g2^14 + (2*t^8.82*y)/(g1^4*g2^12) + (t^8.83*y)/(g1^24*g2^8) + (2*g1^20*t^8.99*y)/g2^4 + (2*g1^10*t^8.99*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
2103 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.5827 | 0.7345 | 0.7934 | [X:[], M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | t^2.13 + t^2.15 + t^2.57 + 2*t^3.01 + t^3.41 + t^3.43 + t^3.45 + t^3.85 + t^4.26 + t^4.28 + t^4.29 + t^4.7 + 2*t^4.72 + 3*t^5.14 + 2*t^5.15 + t^5.54 + t^5.56 + 3*t^5.58 + t^5.59 + t^5.98 - t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
611 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ | 0.7024 | 0.8607 | 0.8161 | [X:[], M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] | t^2.64 + t^2.85 + t^2.89 + t^2.94 + t^3.06 + t^3.15 + t^3.27 + t^4.09 + t^4.3 + t^4.39 + 2*t^4.51 + t^4.6 + t^4.69 + t^4.72 + t^4.81 + t^4.93 + t^5.28 + t^5.49 + t^5.53 + t^5.7 + t^5.74 + t^5.79 + t^5.83 + t^5.91 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |