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 |
---|---|---|---|---|---|---|---|---|---|
57502 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.1071 | 1.2261 | 0.903 | [X:[1.516], M:[], q:[0.8066, 0.3868], qb:[0.4033, 0.9514], phi:[0.242]] | [X:[[6]], M:[], q:[[-10], [20]], qb:[[-5], [13]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | 0 | t^2.18 + t^2.37 + t^3.1 + t^3.63 + t^3.82 + t^4.01 + t^4.36 + 2*t^4.55 + t^4.74 + 2*t^5.27 + 2*t^5.47 + t^5.66 + t^5.81 + 2*t^6.19 + t^6.38 + t^6.53 + 2*t^6.73 + 3*t^6.92 + 2*t^7.11 + 2*t^7.45 + 3*t^7.64 + 3*t^7.84 + 2*t^8.03 + 2*t^8.18 + t^8.37 + 3*t^8.56 + 2*t^8.76 + t^8.18/y^2 - t^8.9/y^2 - t^3.73/y - t^4.45/y - t^5.9/y - t^6.1/y - t^6.63/y - t^6.82/y - t^7.36/y - t^7.74/y - t^8.08/y - t^3.73*y - t^4.45*y - t^5.9*y - t^6.1*y - t^6.63*y - t^6.82*y - t^7.36*y - t^7.74*y - t^8.08*y + t^8.18*y^2 - t^8.9*y^2 | t^2.18/g1^9 + g1^15*t^2.37 + g1^12*t^3.1 + t^3.63/g1^15 + g1^9*t^3.82 + g1^33*t^4.01 + t^4.36/g1^18 + 2*g1^6*t^4.55 + g1^30*t^4.74 + 2*g1^3*t^5.27 + 2*g1^27*t^5.47 + g1^51*t^5.66 + t^5.81/g1^24 + 2*g1^24*t^6.19 + g1^48*t^6.38 + t^6.53/g1^27 + (2*t^6.73)/g1^3 + 3*g1^21*t^6.92 + 2*g1^45*t^7.11 + (2*t^7.45)/g1^6 + 3*g1^18*t^7.64 + 3*g1^42*t^7.84 + 2*g1^66*t^8.03 + (2*t^8.18)/g1^9 + g1^15*t^8.37 + 3*g1^39*t^8.56 + 2*g1^63*t^8.76 + t^8.18/(g1^9*y^2) - t^8.9/(g1^12*y^2) - t^3.73/(g1^3*y) - t^4.45/(g1^6*y) - t^5.9/(g1^12*y) - (g1^12*t^6.1)/y - t^6.63/(g1^15*y) - (g1^9*t^6.82)/y - t^7.36/(g1^18*y) - (g1^30*t^7.74)/y - t^8.08/(g1^21*y) - (t^3.73*y)/g1^3 - (t^4.45*y)/g1^6 - (t^5.9*y)/g1^12 - g1^12*t^6.1*y - (t^6.63*y)/g1^15 - g1^9*t^6.82*y - (t^7.36*y)/g1^18 - g1^30*t^7.74*y - (t^8.08*y)/g1^21 + (t^8.18*y^2)/g1^9 - (t^8.9*y^2)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
58625 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1105 | 1.2304 | 0.9026 | [X:[1.5205], M:[0.9591], q:[0.7992, 0.4015], qb:[0.3996, 0.961], phi:[0.2398]] | t^2.16 + t^2.4 + t^2.88 + t^3.6 + t^3.84 + t^4.09 + t^4.32 + 2*t^4.56 + t^4.81 + t^5.04 + 2*t^5.28 + t^5.53 + 2*t^5.75 + t^5.77 - t^3.72/y - t^4.44/y - t^5.88/y - t^3.72*y - t^4.44*y - t^5.88*y | detail | |
59052 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0872 | 1.1896 | 0.9139 | [X:[1.5149], M:[1.2724], q:[0.8085, 0.3831], qb:[0.4042, 0.949], phi:[0.2425]] | t^2.36 + t^3.09 + t^3.64 + 2*t^3.82 + t^4. + t^4.54 + t^4.72 + t^5.27 + 2*t^5.45 + t^5.63 - t^6. - t^3.73/y - t^4.46/y - t^3.73*y - t^4.46*y | detail | |
58594 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.0903 | 1.1954 | 0.9121 | [X:[1.5196], M:[1.201], q:[0.8007, 0.3987], qb:[0.4003, 0.9591], phi:[0.2402]] | t^2.16 + t^3.12 + 2*t^3.6 + t^3.84 + t^4.07 + t^4.32 + t^4.56 + 2*t^5.28 + t^5.51 + t^5.75 + 2*t^5.76 - t^6. - t^3.72/y - t^4.44/y - t^5.88/y - t^3.72*y - t^4.44*y - t^5.88*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 |
---|---|---|---|---|---|---|---|---|---|
47910 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | t^2.211 + t^2.315 + t^3.052 + t^3.685 + t^3.789 + t^3.892 + t^4.422 + 2*t^4.526 + t^4.629 + 2*t^5.263 + t^5.367 + 2*t^5.631 + 2*t^5.735 - t^6. - t^3.737/y - t^4.474/y - t^5.948/y - t^3.737*y - t^4.474*y - t^5.948*y | detail |