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 |
---|---|---|---|---|---|---|---|---|---|
58789 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.1415 | 1.329 | 0.8589 | [X:[1.5953], M:[1.1906, 1.261], q:[0.2185, 0.5527], qb:[0.6144, 0.1862], phi:[0.4047]] | [X:[[0, 1]], M:[[0, 2], [0, -13]], q:[[-1, -1], [-1, 13]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.43 + t^2.5 + t^3.43 + t^3.5 + t^3.57 + 2*t^3.64 + t^3.71 + t^3.78 + t^4.17 + t^4.18 + t^4.65 + t^4.79 + t^4.86 + 2*t^4.93 + t^5.19 + t^5.32 + t^5.39 + t^5.4 + t^5.46 + t^5.61 + t^5.86 + 2*t^5.93 - 3*t^6. + 3*t^6.07 + 3*t^6.14 + t^6.21 + t^6.28 + t^6.4 - t^6.47 + 2*t^6.6 + 2*t^6.61 + t^6.67 - t^6.74 + t^6.86 + t^6.93 + 4*t^7.07 + 3*t^7.14 + t^7.21 + 5*t^7.28 + 5*t^7.35 + 3*t^7.43 + t^7.5 + t^7.57 + 3*t^7.61 - t^7.68 - t^7.75 + 3*t^7.82 + 2*t^7.83 + 2*t^7.89 + t^7.9 - t^7.97 + t^8.04 + t^8.08 + t^8.11 + t^8.15 + 3*t^8.29 + t^8.35 + 4*t^8.36 + t^8.37 - 2*t^8.43 - t^8.5 + 6*t^8.57 + 2*t^8.62 + 2*t^8.64 + t^8.71 + t^8.75 + 2*t^8.82 + 3*t^8.83 + t^8.96 - t^8.97 - t^4.21/y - t^5.43/y - t^6.71/y - t^7.72/y - (2*t^7.86)/y - t^8./y + (3*t^8.93)/y - t^4.21*y - t^5.43*y - t^6.71*y - t^7.72*y - 2*t^7.86*y - t^8.*y + 3*t^8.93*y | t^2.43/g2^2 + t^2.5/g2^7 + g2^12*t^3.43 + g2^7*t^3.5 + g2^2*t^3.57 + (2*t^3.64)/g2^3 + t^3.71/g2^8 + t^3.78/g2^13 + (g1^3*t^4.17)/g2^7 + (g2^10*t^4.18)/g1^3 + g2^11*t^4.65 + g2*t^4.79 + t^4.86/g2^4 + (2*t^4.93)/g2^9 + (g2^24*t^5.19)/g1^3 + (g1^3*t^5.32)/g2^3 + (g1^3*t^5.39)/g2^8 + (g2^9*t^5.4)/g1^3 + (g1^3*t^5.46)/g2^13 + t^5.61/(g1^3*g2^6) + g2^10*t^5.86 + 2*g2^5*t^5.93 - 3*t^6. + (3*t^6.07)/g2^5 + (3*t^6.14)/g2^10 + t^6.21/g2^15 + t^6.28/g2^20 + (g2^23*t^6.4)/g1^3 - (g2^18*t^6.47)/g1^3 + (2*g1^3*t^6.6)/g2^9 + (2*g2^8*t^6.61)/g1^3 + (g1^3*t^6.67)/g2^14 - (g1^3*t^6.74)/g2^19 + g2^24*t^6.86 + g2^19*t^6.93 + 4*g2^9*t^7.07 + 3*g2^4*t^7.14 + t^7.21/g2 + (5*t^7.28)/g2^6 + (5*t^7.35)/g2^11 + (3*t^7.43)/g2^16 + t^7.5/g2^21 + t^7.57/g2^26 + g1^3*g2^5*t^7.61 + (2*g2^22*t^7.61)/g1^3 - g1^3*t^7.68 - (g2^12*t^7.75)/g1^3 + (3*g1^3*t^7.82)/g2^10 + (2*g2^7*t^7.83)/g1^3 + (2*g1^3*t^7.89)/g2^15 + (g2^2*t^7.9)/g1^3 - t^7.97/(g1^3*g2^3) + t^8.04/(g1^3*g2^8) + g2^23*t^8.08 + t^8.11/(g1^3*g2^13) + g2^18*t^8.15 + 3*g2^8*t^8.29 + (g1^6*t^8.35)/g2^14 + 4*g2^3*t^8.36 + (g2^20*t^8.37)/g1^6 - (2*t^8.43)/g2^2 - t^8.5/g2^7 + (6*t^8.57)/g2^12 + (2*g2^36*t^8.62)/g1^3 + (2*t^8.64)/g2^17 + t^8.71/g2^22 + g1^3*g2^9*t^8.75 + 2*g1^3*g2^4*t^8.82 + (3*g2^21*t^8.83)/g1^3 + (g1^3*t^8.96)/g2^6 - (g2^11*t^8.97)/g1^3 - t^4.21/(g2*y) - t^5.43/(g2^2*y) - t^6.71/(g2^8*y) - (g2^6*t^7.72)/y - (2*t^7.86)/(g2^4*y) - t^8./(g2^14*y) + (3*g2^5*t^8.93)/y - (t^4.21*y)/g2 - (t^5.43*y)/g2^2 - (t^6.71*y)/g2^8 - g2^6*t^7.72*y - (2*t^7.86*y)/g2^4 - (t^8.*y)/g2^14 + 3*g2^5*t^8.93*y |
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 |
---|---|---|---|---|---|---|---|---|
61038 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.1206 | 1.3081 | 0.8567 | [X:[1.5925], M:[1.1849, 1.298], q:[0.1735, 0.468], qb:[0.6792, 0.234], phi:[0.4075]] | t^2.45 + t^2.56 + t^3.33 + t^3.44 + t^3.55 + 3*t^3.67 + t^3.78 + t^3.89 + 2*t^4.55 + t^4.66 + t^4.78 + 2*t^4.89 + 2*t^5. + t^5.23 + 3*t^5.77 + 2*t^5.89 - 2*t^6. - t^4.22/y - t^5.45/y - t^4.22*y - t^5.45*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 |
---|---|---|---|---|---|---|---|---|---|
57728 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.1613 | 1.3662 | 0.85 | [X:[1.594], M:[1.1879], q:[0.2239, 0.5394], qb:[0.6183, 0.1822], phi:[0.406]] | t^2.16 + t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.56 + 2*t^3.65 + t^3.74 + t^4.17 + t^4.18 + t^4.33 + 2*t^4.6 + t^4.69 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.29 + t^5.38 + t^5.4 + t^5.47 + t^5.55 + t^5.64 + t^5.67 + t^5.73 + 3*t^5.82 + 3*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y | detail |