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 |
---|---|---|---|---|---|---|---|---|---|
58050 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1149 | 1.2277 | 0.9081 | [X:[1.5488], M:[0.9024], q:[0.9126, 0.4309], qb:[0.8618, 0.4411], phi:[0.2256]] | [X:[[2]], M:[[-4]], q:[[-7], [4]], qb:[[8], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | 0 | t^2.03 + t^2.62 + t^2.71 + t^3.88 + t^3.97 + 2*t^4.06 + 2*t^4.65 + t^4.74 + t^5.23 + 2*t^5.32 + t^5.41 + 2*t^5.91 + t^6.09 + t^6.49 + 2*t^6.59 + 3*t^6.68 + 2*t^6.77 + t^7.26 + 2*t^7.35 + t^7.76 + 2*t^7.85 + 3*t^7.94 + 3*t^8.03 + 3*t^8.12 + 3*t^8.52 - t^8.71 + t^8.8 + t^8.03/y^2 - t^8.71/y^2 - t^3.68/y - t^4.35/y - t^5.71/y - t^6.29/y - (2*t^6.38)/y - t^7.06/y - t^7.55/y + t^7.65/y - t^7.74/y - (2*t^8.41)/y - t^3.68*y - t^4.35*y - t^5.71*y - t^6.29*y - 2*t^6.38*y - t^7.06*y - t^7.55*y + t^7.65*y - t^7.74*y - 2*t^8.41*y + t^8.03*y^2 - t^8.71*y^2 | t^2.03/g1^3 + g1^5*t^2.62 + t^2.71/g1^4 + g1^12*t^3.88 + g1^3*t^3.97 + (2*t^4.06)/g1^6 + 2*g1^2*t^4.65 + t^4.74/g1^7 + g1^10*t^5.23 + 2*g1*t^5.32 + t^5.41/g1^8 + 2*g1^9*t^5.91 + t^6.09/g1^9 + g1^17*t^6.49 + 2*g1^8*t^6.59 + (3*t^6.68)/g1 + (2*t^6.77)/g1^10 + g1^7*t^7.26 + (2*t^7.35)/g1^2 + g1^24*t^7.76 + 2*g1^15*t^7.85 + 3*g1^6*t^7.94 + (3*t^8.03)/g1^3 + (3*t^8.12)/g1^12 + 3*g1^14*t^8.52 - t^8.71/g1^4 + t^8.8/g1^13 + t^8.03/(g1^3*y^2) - t^8.71/(g1^4*y^2) - t^3.68/(g1*y) - t^4.35/(g1^2*y) - t^5.71/(g1^4*y) - (g1^4*t^6.29)/y - (2*t^6.38)/(g1^5*y) - t^7.06/(g1^6*y) - (g1^11*t^7.55)/y + (g1^2*t^7.65)/y - t^7.74/(g1^7*y) - (2*t^8.41)/(g1^8*y) - (t^3.68*y)/g1 - (t^4.35*y)/g1^2 - (t^5.71*y)/g1^4 - g1^4*t^6.29*y - (2*t^6.38*y)/g1^5 - (t^7.06*y)/g1^6 - g1^11*t^7.55*y + g1^2*t^7.65*y - (t^7.74*y)/g1^7 - (2*t^8.41*y)/g1^8 + (t^8.03*y^2)/g1^3 - (t^8.71*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 |
---|---|---|---|---|---|---|---|---|
61187 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.0941 | 1.1868 | 0.9219 | [X:[1.5485], M:[0.903, 1.3227], q:[0.9136, 0.4303], qb:[0.8607, 0.4409], phi:[0.2258]] | t^2.61 + t^2.71 + t^3.87 + 2*t^3.97 + t^4.06 + t^4.65 + t^5.23 + 2*t^5.32 + t^5.42 + t^5.9 - t^6. - t^3.68/y - t^4.35/y - t^3.68*y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
57323 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.1157 | 1.2303 | 0.9068 | [X:[1.5413], M:[0.9173], q:[0.8853, 0.416], qb:[0.8853, 0.4373], phi:[0.2293]] | t^2.064 + t^2.56 + t^2.752 + t^3.904 + t^3.936 + t^3.968 + t^4.128 + 2*t^4.624 + t^4.816 + t^5.12 + 2*t^5.312 + t^5.504 + t^5.808 + t^5.84 + t^5.968 - t^6. - t^3.688/y - t^4.376/y - t^5.752/y - t^3.688*y - t^4.376*y - t^5.752*y | detail |