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 |
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57320 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.1089 | 1.2225 | 0.9071 | [X:[1.5304], q:[0.8637, 0.3942], qb:[0.9015, 0.4319], phi:[0.2348]] | [X:[[2]], q:[[2], [4]], qb:[[-1], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | 0 | t^2.113 + t^2.478 + t^3.182 + 3*t^3.887 + t^4.226 + 2*t^4.591 + t^4.956 + 2*t^5.296 + 3*t^5.661 + t^6.339 + 4*t^6.365 + t^6.704 + 5*t^7.069 - t^7.409 + t^7.434 + 8*t^7.774 + 3*t^8.139 + t^8.453 + 2*t^8.478 - 2*t^8.818 + 6*t^8.843 + t^8.113/y^2 - t^8.818/y^2 - t^3.704/y - t^4.409/y - t^5.818/y - t^6.182/y - t^6.522/y - t^6.887/y - (2*t^7.591)/y - t^7.931/y - t^8.635/y - t^3.704*y - t^4.409*y - t^5.818*y - t^6.182*y - t^6.522*y - t^6.887*y - 2*t^7.591*y - t^7.931*y - t^8.635*y + t^8.113*y^2 - t^8.818*y^2 | t^2.113/g1^3 + g1^5*t^2.478 + g1^4*t^3.182 + 3*g1^3*t^3.887 + t^4.226/g1^6 + 2*g1^2*t^4.591 + g1^10*t^4.956 + 2*g1*t^5.296 + 3*g1^9*t^5.661 + t^6.339/g1^9 + 4*g1^8*t^6.365 + t^6.704/g1 + 5*g1^7*t^7.069 - t^7.409/g1^2 + g1^15*t^7.434 + 8*g1^6*t^7.774 + 3*g1^14*t^8.139 + t^8.453/g1^12 + 2*g1^5*t^8.478 - (2*t^8.818)/g1^4 + 6*g1^13*t^8.843 + t^8.113/(g1^3*y^2) - t^8.818/(g1^4*y^2) - t^3.704/(g1*y) - t^4.409/(g1^2*y) - t^5.818/(g1^4*y) - (g1^4*t^6.182)/y - t^6.522/(g1^5*y) - (g1^3*t^6.887)/y - (2*g1^2*t^7.591)/y - t^7.931/(g1^7*y) - t^8.635/(g1^8*y) - (t^3.704*y)/g1 - (t^4.409*y)/g1^2 - (t^5.818*y)/g1^4 - g1^4*t^6.182*y - (t^6.522*y)/g1^5 - g1^3*t^6.887*y - 2*g1^2*t^7.591*y - (t^7.931*y)/g1^7 - (t^8.635*y)/g1^8 + (t^8.113*y^2)/g1^3 - (t^8.818*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 |
---|---|---|---|---|---|---|---|---|
58024 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.1156 | 1.2301 | 0.9069 | [X:[1.5419], M:[0.9161], q:[0.8753, 0.4172], qb:[0.8957, 0.4376], phi:[0.229]] | t^2.06 + t^2.56 + t^2.75 + 3*t^3.94 + t^4.12 + 2*t^4.63 + t^4.81 + t^5.13 + 2*t^5.31 + t^5.5 + 2*t^5.82 - t^3.69/y - t^4.37/y - t^5.75/y - t^3.69*y - t^4.37*y - t^5.75*y | detail | |
58022 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0885 | 1.1846 | 0.9189 | [X:[1.5283], M:[1.2925], q:[0.8617, 0.39], qb:[0.9025, 0.4308], phi:[0.2358]] | t^2.46 + t^3.17 + 4*t^3.88 + t^4.59 + t^4.93 + t^5.29 + 3*t^5.63 - 3*t^6. - t^3.71/y - t^4.41/y - t^3.71*y - t^4.41*y | detail | |
58025 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.1294 | 1.261 | 0.8957 | [X:[1.5322], M:[0.7017], q:[0.8656, 0.3978], qb:[0.9006, 0.4328], phi:[0.2339]] | 2*t^2.1 + t^2.49 + t^3.19 + 2*t^3.9 + 3*t^4.21 + 3*t^4.6 + t^4.98 + 3*t^5.3 + 3*t^5.69 + t^6. - t^3.7/y - t^4.4/y - (2*t^5.81)/y - t^3.7*y - t^4.4*y - 2*t^5.81*y | detail | |
58023 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0952 | 1.1951 | 0.9164 | [X:[1.543], M:[1.1425], q:[0.8764, 0.4194], qb:[0.8952, 0.4382], phi:[0.2285]] | t^2.06 + t^3.26 + t^3.43 + 3*t^3.94 + t^4.11 + t^4.63 + 2*t^5.31 + t^5.48 + 2*t^5.83 - t^3.69/y - t^4.37/y - t^5.74/y - t^3.69*y - t^4.37*y - t^5.74*y | detail | |
58064 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0545 | 1.117 | 0.944 | [X:[1.6, 1.4], M:[], q:[0.9333, 0.5333], qb:[0.8667, 0.4667], phi:[0.2]] | t^3. + t^3.6 + 4*t^4.2 + t^4.8 + t^5.4 - 2*t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 2109/2000, c: 1117/1000, X1: 8/5, X2: 7/5, q1: 14/15, q2: 8/15, qb1: 13/15, qb2: 7/15, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47880 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y | detail |