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 |
---|---|---|---|---|---|---|---|---|---|
57720 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9871 | 1.0513 | 0.9389 | [X:[1.5963, 1.3945], M:[], q:[0.5994, 0.5994], qb:[1.1988, 0.3914], phi:[0.2018]] | [X:[[6], [9]], M:[], q:[[1], [1]], qb:[[2], [14]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | 2*t^2.97 + t^3.58 + 2*t^4.18 + t^5.34 + 2*t^5.39 + 3*t^5.94 - 3*t^6. + 3*t^6.55 - t^6.61 + 4*t^7.16 - t^7.21 + t^7.76 + 2*t^7.82 + 2*t^8.31 + 3*t^8.37 - t^8.42 + 5*t^8.92 - 6*t^8.97 + t^7.82/y^2 - t^3.61/y - t^4.21/y - (2*t^6.58)/y - t^7.18/y - (2*t^7.79)/y + t^8.94/y - t^3.61*y - t^4.21*y - 2*t^6.58*y - t^7.18*y - 2*t^7.79*y + t^8.94*y + t^7.82*y^2 | 2*g1^15*t^2.97 + g1^12*t^3.58 + 2*g1^9*t^4.18 + g1^33*t^5.34 + 2*g1^3*t^5.39 + 3*g1^30*t^5.94 - 3*t^6. + 3*g1^27*t^6.55 - t^6.61/g1^3 + 4*g1^24*t^7.16 - t^7.21/g1^6 + g1^21*t^7.76 + (2*t^7.82)/g1^9 + 2*g1^48*t^8.31 + 3*g1^18*t^8.37 - t^8.42/g1^12 + 5*g1^45*t^8.92 - 6*g1^15*t^8.97 + t^7.82/(g1^9*y^2) - t^3.61/(g1^3*y) - t^4.21/(g1^6*y) - (2*g1^12*t^6.58)/y - (g1^9*t^7.18)/y - (2*g1^6*t^7.79)/y + (g1^30*t^8.94)/y - (t^3.61*y)/g1^3 - (t^4.21*y)/g1^6 - 2*g1^12*t^6.58*y - g1^9*t^7.18*y - 2*g1^6*t^7.79*y + g1^30*t^8.94*y + (t^7.82*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
59507 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 0.9743 | 1.0197 | 0.9554 | [X:[1.6364, 1.4545], M:[], q:[0.6061, 0.6061], qb:[1.2121, 0.4848], phi:[0.1818]] | 2*t^3.27 + t^3.82 + 2*t^4.36 + 2*t^5.45 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 5187/5324, c: 5429/5324, X1: 18/11, X2: 16/11, q1: 20/33, q2: 20/33, qb1: 40/33, qb2: 16/33, phi1: 2/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
47947 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0879 | 1.2082 | 0.9004 | [X:[1.5125], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]] | t^2.194 + t^2.344 + t^3.075 + t^3.304 + t^3.806 + t^4.309 + t^4.387 + 2*t^4.538 + t^4.688 + t^5.04 + 2*t^5.269 + t^5.419 + t^5.542 + t^5.648 + t^5.877 - 2*t^6. - t^3.731/y - t^4.462/y - t^5.925/y - t^3.731*y - t^4.462*y - t^5.925*y | detail |