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 |
---|---|---|---|---|---|---|---|---|---|
57713 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4391 | 1.6222 | 0.8872 | [X:[1.3452], M:[], q:[0.5575, 0.5575], qb:[0.4425, 0.4779], phi:[0.3274]] | [X:[[6]], M:[], q:[[1], [1]], qb:[[-1], [17]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.95 + 2*t^3. + 2*t^3.11 + 2*t^3.98 + t^4.04 + 2*t^4.09 + 2*t^4.96 + 3*t^5.07 + t^5.18 + 2*t^5.95 - t^6. + 3*t^6.05 + 3*t^6.11 + t^6.16 + 3*t^6.21 - t^6.88 + 3*t^6.93 + 2*t^6.98 + 5*t^7.04 + 5*t^7.09 + 3*t^7.14 + 4*t^7.2 + t^7.25 - t^7.86 + t^7.91 + 5*t^7.96 + 2*t^8.02 + 9*t^8.07 + t^8.12 + 9*t^8.18 + 2*t^8.28 - 2*t^8.89 + 2*t^8.95 + t^8.95/y^2 - t^3.98/y - t^4.96/y - t^6.93/y - (2*t^6.98)/y - (2*t^7.09)/y - t^7.91/y - (2*t^7.96)/y - (2*t^8.07)/y - t^3.98*y - t^4.96*y - t^6.93*y - 2*t^6.98*y - 2*t^7.09*y - t^7.91*y - 2*t^7.96*y - 2*t^8.07*y + t^8.95*y^2 | t^2.95/g1^9 + 2*t^3. + 2*g1^18*t^3.11 + (2*t^3.98)/g1^3 + g1^6*t^4.04 + 2*g1^15*t^4.09 + (2*t^4.96)/g1^6 + 3*g1^12*t^5.07 + g1^30*t^5.18 + (2*t^5.95)/g1^9 - t^6. + 3*g1^9*t^6.05 + 3*g1^18*t^6.11 + g1^27*t^6.16 + 3*g1^36*t^6.21 - t^6.88/g1^21 + (3*t^6.93)/g1^12 + (2*t^6.98)/g1^3 + 5*g1^6*t^7.04 + 5*g1^15*t^7.09 + 3*g1^24*t^7.14 + 4*g1^33*t^7.2 + g1^42*t^7.25 - t^7.86/g1^24 + t^7.91/g1^15 + (5*t^7.96)/g1^6 + 2*g1^3*t^8.02 + 9*g1^12*t^8.07 + g1^21*t^8.12 + 9*g1^30*t^8.18 + 2*g1^48*t^8.28 - (2*t^8.89)/g1^18 + (2*t^8.95)/g1^9 + t^8.95/(g1^9*y^2) - t^3.98/(g1^3*y) - t^4.96/(g1^6*y) - t^6.93/(g1^12*y) - (2*t^6.98)/(g1^3*y) - (2*g1^15*t^7.09)/y - t^7.91/(g1^15*y) - (2*t^7.96)/(g1^6*y) - (2*g1^12*t^8.07)/y - (t^3.98*y)/g1^3 - (t^4.96*y)/g1^6 - (t^6.93*y)/g1^12 - (2*t^6.98*y)/g1^3 - 2*g1^15*t^7.09*y - (t^7.91*y)/g1^15 - (2*t^7.96*y)/g1^6 - 2*g1^12*t^8.07*y + (t^8.95*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 |
---|---|---|---|---|---|---|---|---|
60053 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4076 | 1.5701 | 0.8965 | [X:[1.4], M:[], q:[0.5667, 0.5667], qb:[0.4333, 0.6333], phi:[0.3]] | t^2.7 + 2*t^3. + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.5 + 2*t^4.8 + 3*t^5.4 + 2*t^5.7 - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | {a: 22521/16000, c: 25121/16000, X1: 7/5, q1: 17/30, q2: 17/30, qb1: 13/30, qb2: 19/30, phi1: 3/10} |
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 |
---|---|---|---|---|---|---|---|---|---|
47944 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |