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 |
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58062 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.1264 | 1.2514 | 0.9001 | [X:[1.5479], M:[0.7126], q:[0.9157, 0.4291], qb:[0.8582, 0.4406], phi:[0.2261]] | [X:[[2]], M:[[-12]], q:[[-7], [4]], qb:[[8], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | 0 | t^2.03 + t^2.14 + t^2.61 + t^3.29 + t^3.97 + 2*t^4.07 + t^4.17 + t^4.28 + 2*t^4.64 + t^4.75 + t^5.22 + 2*t^5.32 + t^5.43 + 2*t^5.9 + 2*t^6.1 + 2*t^6.21 + t^6.31 + t^6.41 + 2*t^6.57 + 2*t^6.68 + 2*t^6.78 + t^6.88 + 2*t^7.25 + 3*t^7.36 + t^7.46 + t^7.56 + t^7.83 + 2*t^7.93 + 3*t^8.03 + 2*t^8.14 + 2*t^8.24 + 2*t^8.34 + t^8.45 + 2*t^8.51 + t^8.55 + t^8.71 + 2*t^8.92 + t^8.03/y^2 - t^8.71/y^2 - t^8.82/y^2 - t^3.68/y - t^4.36/y - t^5.71/y - t^5.82/y - t^6.29/y - t^6.39/y - t^6.49/y - t^6.97/y + t^7.17/y - t^7.75/y - t^7.85/y - t^7.95/y + t^8.22/y - t^8.43/y - t^8.53/y - t^8.63/y - t^3.68*y - t^4.36*y - t^5.71*y - t^5.82*y - t^6.29*y - t^6.39*y - t^6.49*y - t^6.97*y + t^7.17*y - t^7.75*y - t^7.85*y - t^7.95*y + t^8.22*y - t^8.43*y - t^8.53*y - t^8.63*y + t^8.03*y^2 - t^8.71*y^2 - t^8.82*y^2 | t^2.03/g1^3 + t^2.14/g1^12 + g1^5*t^2.61 + g1^4*t^3.29 + g1^3*t^3.97 + (2*t^4.07)/g1^6 + t^4.17/g1^15 + t^4.28/g1^24 + 2*g1^2*t^4.64 + t^4.75/g1^7 + g1^10*t^5.22 + 2*g1*t^5.32 + t^5.43/g1^8 + 2*g1^9*t^5.9 + (2*t^6.1)/g1^9 + (2*t^6.21)/g1^18 + t^6.31/g1^27 + t^6.41/g1^36 + 2*g1^8*t^6.57 + (2*t^6.68)/g1 + (2*t^6.78)/g1^10 + t^6.88/g1^19 + 2*g1^7*t^7.25 + (3*t^7.36)/g1^2 + t^7.46/g1^11 + t^7.56/g1^20 + g1^15*t^7.83 + 2*g1^6*t^7.93 + (3*t^8.03)/g1^3 + (2*t^8.14)/g1^12 + (2*t^8.24)/g1^21 + (2*t^8.34)/g1^30 + t^8.45/g1^39 + 2*g1^14*t^8.51 + t^8.55/g1^48 + t^8.71/g1^4 + (2*t^8.92)/g1^22 + t^8.03/(g1^3*y^2) - t^8.71/(g1^4*y^2) - t^8.82/(g1^13*y^2) - t^3.68/(g1*y) - t^4.36/(g1^2*y) - t^5.71/(g1^4*y) - t^5.82/(g1^13*y) - (g1^4*t^6.29)/y - t^6.39/(g1^5*y) - t^6.49/(g1^14*y) - (g1^3*t^6.97)/y + t^7.17/(g1^15*y) - t^7.75/(g1^7*y) - t^7.85/(g1^16*y) - t^7.95/(g1^25*y) + (g1^10*t^8.22)/y - t^8.43/(g1^8*y) - t^8.53/(g1^17*y) - t^8.63/(g1^26*y) - (t^3.68*y)/g1 - (t^4.36*y)/g1^2 - (t^5.71*y)/g1^4 - (t^5.82*y)/g1^13 - g1^4*t^6.29*y - (t^6.39*y)/g1^5 - (t^6.49*y)/g1^14 - g1^3*t^6.97*y + (t^7.17*y)/g1^15 - (t^7.75*y)/g1^7 - (t^7.85*y)/g1^16 - (t^7.95*y)/g1^25 + g1^10*t^8.22*y - (t^8.43*y)/g1^8 - (t^8.53*y)/g1^17 - (t^8.63*y)/g1^26 + (t^8.03*y^2)/g1^3 - (t^8.71*y^2)/g1^4 - (t^8.82*y^2)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
61067 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1472 | 1.2924 | 0.8877 | [X:[1.5481], M:[0.7115, 0.6779], q:[0.915, 0.4295], qb:[0.859, 0.4407], phi:[0.226]] | 2*t^2.03 + t^2.13 + t^2.61 + t^3.29 + 4*t^4.07 + 2*t^4.17 + t^4.27 + 3*t^4.64 + t^4.75 + t^5.22 + 3*t^5.32 + t^5.42 + 2*t^5.9 - t^6. - t^3.68/y - t^4.36/y - (2*t^5.71)/y - t^5.81/y - t^3.68*y - t^4.36*y - 2*t^5.71*y - t^5.81*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 |
---|---|---|---|---|---|---|---|---|---|
57319 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1065 | 1.2153 | 0.9105 | [X:[1.5432], q:[0.932, 0.4198], qb:[0.8396, 0.4383], phi:[0.2284]] | t^2.055 + t^2.574 + t^3.259 + t^3.778 + t^3.945 + 2*t^4.111 + 2*t^4.63 + t^5.149 + 2*t^5.315 + 3*t^5.834 - t^3.685/y - t^4.37/y - t^5.741/y - t^3.685*y - t^4.37*y - t^5.741*y | detail |