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 |
---|---|---|---|---|---|---|---|---|---|
57501 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.103 | 1.2242 | 0.901 | [X:[1.51], M:[], q:[0.8033, 0.3534], qb:[0.4217, 0.9517], phi:[0.245]] | [X:[[2]], M:[], q:[[-6], [4]], qb:[[1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | 0 | t^2.2 + t^2.33 + t^3.06 + t^3.67 + t^3.8 + t^3.92 + t^4.41 + 2*t^4.53 + t^4.65 + 3*t^5.27 + 2*t^5.39 + 3*t^6.12 + t^6.24 + t^6.61 + 2*t^6.73 + 3*t^6.86 + 2*t^6.98 + 2*t^7.47 + 4*t^7.59 + 3*t^7.71 + t^7.83 + 2*t^8.33 + 5*t^8.45 + t^8.57 + t^8.82 - t^8.94 + t^8.2/y^2 - t^8.94/y^2 - t^3.73/y - t^4.47/y - t^5.94/y - t^6.06/y - t^6.67/y - t^6.8/y - t^7.41/y - t^7.65/y - t^8.14/y - t^3.73*y - t^4.47*y - t^5.94*y - t^6.06*y - t^6.67*y - t^6.8*y - t^7.41*y - t^7.65*y - t^8.14*y + t^8.2*y^2 - t^8.94*y^2 | t^2.2/g1^3 + g1^5*t^2.33 + g1^4*t^3.06 + t^3.67/g1^5 + g1^3*t^3.8 + g1^11*t^3.92 + t^4.41/g1^6 + 2*g1^2*t^4.53 + g1^10*t^4.65 + 3*g1*t^5.27 + 2*g1^9*t^5.39 + 3*g1^8*t^6.12 + g1^16*t^6.24 + t^6.61/g1^9 + (2*t^6.73)/g1 + 3*g1^7*t^6.86 + 2*g1^15*t^6.98 + (2*t^7.47)/g1^2 + 4*g1^6*t^7.59 + 3*g1^14*t^7.71 + g1^22*t^7.83 + 2*g1^5*t^8.33 + 5*g1^13*t^8.45 + g1^21*t^8.57 + t^8.82/g1^12 - t^8.94/g1^4 + t^8.2/(g1^3*y^2) - t^8.94/(g1^4*y^2) - t^3.73/(g1*y) - t^4.47/(g1^2*y) - t^5.94/(g1^4*y) - (g1^4*t^6.06)/y - t^6.67/(g1^5*y) - (g1^3*t^6.8)/y - t^7.41/(g1^6*y) - (g1^10*t^7.65)/y - t^8.14/(g1^7*y) - (t^3.73*y)/g1 - (t^4.47*y)/g1^2 - (t^5.94*y)/g1^4 - g1^4*t^6.06*y - (t^6.67*y)/g1^5 - g1^3*t^6.8*y - (t^7.41*y)/g1^6 - g1^10*t^7.65*y - (t^8.14*y)/g1^7 + (t^8.2*y^2)/g1^3 - (t^8.94*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
59023 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1055 | 1.2263 | 0.9015 | [X:[1.5169], M:[0.9662], q:[0.7827, 0.3671], qb:[0.4251, 0.9757], phi:[0.2416]] | t^2.17 + t^2.38 + t^2.9 + t^3.62 + t^3.83 + t^4.03 + t^4.35 + 2*t^4.55 + t^4.75 + t^5.07 + 3*t^5.28 + t^5.48 + t^5.8 - t^3.72/y - t^4.45/y - t^5.9/y - t^3.72*y - t^4.45*y - t^5.9*y | detail | |
58841 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.987 | 1.0495 | 0.9404 | [X:[1.6, 1.4], M:[], q:[0.5333, 0.5333], qb:[0.4667, 1.2667], phi:[0.2]] | 2*t^3. + t^3.6 + 2*t^4.2 + 3*t^5.4 - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 987/1000, c: 2099/2000, X1: 8/5, X2: 7/5, q1: 8/15, q2: 8/15, qb1: 7/15, qb2: 19/15, phi1: 1/5} |
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 |