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 |
---|---|---|---|---|---|---|---|---|---|
57609 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0562 | 1.1652 | 0.9064 | [X:[1.5015], M:[1.2463], q:[0.6652, 0.4189], qb:[0.3348, 1.0856], phi:[0.2493]] | [X:[[0, 2]], M:[[0, -5]], q:[[-1, 1], [-1, 6]], qb:[[1, -1], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | -1 | t^2.24 + t^3. + t^3.01 + t^3.74 + t^3.76 + t^4.49 + t^4.5 + t^4.51 + 2*t^5.25 + 2*t^5.26 + t^5.98 - t^6. + 3*t^6.01 + t^6.02 + t^6.73 + t^6.75 + t^6.76 + t^6.77 + t^7.48 + 3*t^7.5 + 2*t^7.51 + t^7.52 + t^8.23 + t^8.24 - 2*t^8.25 + 4*t^8.26 + 3*t^8.27 + t^8.97 + t^8.99 + t^8.24/y^2 - t^8.99/y^2 - t^3.75/y - t^4.5/y - t^5.99/y - t^6.74/y - t^6.75/y - t^7.49/y - t^7.5/y - (2*t^8.23)/y + t^8.24/y + t^8.25/y - t^8.26/y - t^3.75*y - t^4.5*y - t^5.99*y - t^6.74*y - t^6.75*y - t^7.49*y - t^7.5*y - 2*t^8.23*y + t^8.24*y + t^8.25*y - t^8.26*y + t^8.24*y^2 - t^8.99*y^2 | t^2.24/g2^3 + t^3. + g2^4*t^3.01 + t^3.74/g2^5 + g2^3*t^3.76 + t^4.49/g2^6 + g2^2*t^4.5 + g2^6*t^4.51 + 2*g2*t^5.25 + (g1^3*t^5.26)/g2^6 + (g2^12*t^5.26)/g1^3 + t^5.98/g2^8 - t^6. + (g1^3*t^6.01)/g2^3 + g2^4*t^6.01 + (g2^15*t^6.01)/g1^3 + g2^8*t^6.02 + t^6.73/g2^9 + t^6.75/g2 + g2^3*t^6.76 + g2^7*t^6.77 + t^7.48/g2^10 + (2*t^7.5)/g2^2 + g2^2*t^7.5 + 2*g2^6*t^7.51 + g2^10*t^7.52 + t^8.23/g2^11 + t^8.24/g2^3 - (g1^3*t^8.25)/g2^10 - (g2^8*t^8.25)/g1^3 + (g1^3*t^8.26)/g2^6 + 2*g2^5*t^8.26 + (g2^12*t^8.26)/g1^3 + (g1^3*t^8.27)/g2^2 + g2^9*t^8.27 + (g2^16*t^8.27)/g1^3 + t^8.97/g2^12 + t^8.99/g2^4 + t^8.24/(g2^3*y^2) - t^8.99/(g2^4*y^2) - t^3.75/(g2*y) - t^4.5/(g2^2*y) - t^5.99/(g2^4*y) - t^6.74/(g2^5*y) - t^6.75/(g2*y) - t^7.49/(g2^6*y) - (g2^2*t^7.5)/y - (2*t^8.23)/(g2^7*y) + t^8.24/(g2^3*y) + (g2*t^8.25)/y - (g2^5*t^8.26)/y - (t^3.75*y)/g2 - (t^4.5*y)/g2^2 - (t^5.99*y)/g2^4 - (t^6.74*y)/g2^5 - (t^6.75*y)/g2 - (t^7.49*y)/g2^6 - g2^2*t^7.5*y - (2*t^8.23*y)/g2^7 + (t^8.24*y)/g2^3 + g2*t^8.25*y - g2^5*t^8.26*y + (t^8.24*y^2)/g2^3 - (t^8.99*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
60030 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.0755 | 1.1996 | 0.8965 | [X:[1.5071], M:[1.2323, 0.7394], q:[0.6596, 0.4273], qb:[0.3404, 1.094], phi:[0.2465]] | 2*t^2.22 + t^3. + t^3.04 + t^3.7 + 3*t^4.44 + t^4.52 + t^4.56 + t^5.22 + 3*t^5.26 + 2*t^5.28 + 2*t^5.91 - 2*t^6. - t^3.74/y - t^4.48/y - (2*t^5.96)/y - t^3.74*y - t^4.48*y - 2*t^5.96*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 |
---|---|---|---|---|---|---|---|---|---|
47930 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.866 + t^2.914 + t^2.976 + t^3. + t^3.049 + t^3.906 + t^3.992 + t^4.016 + t^4.041 + t^4.126 + t^4.898 + t^4.984 + t^5.033 + t^5.118 + t^5.463 + t^5.484 + t^5.57 + t^5.597 + t^5.731 + t^5.78 + t^5.829 + t^5.841 + t^5.89 + t^5.914 + t^5.951 + t^5.963 + t^5.976 - 3*t^6. - t^3.992/y - t^4.984/y - t^3.992*y - t^4.984*y | detail |