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 |
---|---|---|---|---|---|---|---|---|---|
57319 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1065 | 1.2153 | 0.9105 | [X:[1.5432], q:[0.932, 0.4198], qb:[0.8396, 0.4383], phi:[0.2284]] | [X:[[2]], q:[[-7], [4]], qb:[[8], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | 0 | t^2.055 + t^2.574 + t^3.259 + t^3.778 + t^3.945 + 2*t^4.111 + 2*t^4.63 + t^5.149 + 2*t^5.315 + 3*t^5.834 + t^6.166 + t^6.353 + 2*t^6.519 + 2*t^6.685 + t^7.038 + 2*t^7.204 + 2*t^7.37 - t^7.537 + t^7.557 + 2*t^7.723 + 4*t^7.889 + t^8.055 + 2*t^8.222 + 4*t^8.408 - t^8.741 + t^8.927 + t^8.055/y^2 - t^8.741/y^2 - t^3.685/y - t^4.37/y - t^5.741/y - t^6.259/y - t^6.426/y - t^6.945/y - t^7.463/y - (2*t^7.796)/y - t^8.481/y + t^8.834/y - t^3.685*y - t^4.37*y - t^5.741*y - t^6.259*y - t^6.426*y - t^6.945*y - t^7.463*y - 2*t^7.796*y - t^8.481*y + t^8.834*y + t^8.055*y^2 - t^8.741*y^2 | t^2.055/g1^3 + g1^5*t^2.574 + g1^4*t^3.259 + g1^12*t^3.778 + g1^3*t^3.945 + (2*t^4.111)/g1^6 + 2*g1^2*t^4.63 + g1^10*t^5.149 + 2*g1*t^5.315 + 3*g1^9*t^5.834 + t^6.166/g1^9 + g1^17*t^6.353 + 2*g1^8*t^6.519 + (2*t^6.685)/g1 + g1^16*t^7.038 + 2*g1^7*t^7.204 + (2*t^7.37)/g1^2 - t^7.537/g1^11 + g1^24*t^7.557 + 2*g1^15*t^7.723 + 4*g1^6*t^7.889 + t^8.055/g1^3 + (2*t^8.222)/g1^12 + 4*g1^14*t^8.408 - t^8.741/g1^4 + g1^22*t^8.927 + t^8.055/(g1^3*y^2) - t^8.741/(g1^4*y^2) - t^3.685/(g1*y) - t^4.37/(g1^2*y) - t^5.741/(g1^4*y) - (g1^4*t^6.259)/y - t^6.426/(g1^5*y) - (g1^3*t^6.945)/y - (g1^11*t^7.463)/y - (2*t^7.796)/(g1^7*y) - t^8.481/(g1^8*y) + (g1^9*t^8.834)/y - (t^3.685*y)/g1 - (t^4.37*y)/g1^2 - (t^5.741*y)/g1^4 - g1^4*t^6.259*y - (t^6.426*y)/g1^5 - g1^3*t^6.945*y - g1^11*t^7.463*y - (2*t^7.796*y)/g1^7 - (t^8.481*y)/g1^8 + g1^9*t^8.834*y + (t^8.055*y^2)/g1^3 - (t^8.741*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 |
---|---|---|---|---|---|---|---|---|
58063 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1272 | 1.2556 | 0.8978 | [X:[1.5437], M:[0.6844], q:[0.9304, 0.4207], qb:[0.8415, 0.4385], phi:[0.2281]] | 2*t^2.05 + t^2.58 + t^3.26 + t^3.79 + 4*t^4.11 + 3*t^4.63 + t^5.16 + 3*t^5.32 + 4*t^5.84 - t^6. - t^3.68/y - t^4.37/y - (2*t^5.74)/y - t^3.68*y - t^4.37*y - 2*t^5.74*y | detail | {a: 456533/405000, c: 127127/101250, X1: 1042/675, M1: 154/225, q1: 628/675, q2: 284/675, qb1: 568/675, qb2: 296/675, phi1: 154/675} |
58062 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.1264 | 1.2514 | 0.9001 | [X:[1.5479], M:[0.7126], q:[0.9157, 0.4291], qb:[0.8582, 0.4406], phi:[0.2261]] | t^2.03 + t^2.14 + t^2.61 + t^3.29 + t^3.97 + 2*t^4.07 + t^4.17 + t^4.28 + 2*t^4.64 + t^4.75 + t^5.22 + 2*t^5.32 + t^5.43 + 2*t^5.9 - t^3.68/y - t^4.36/y - t^5.71/y - t^5.82/y - t^3.68*y - t^4.36*y - t^5.71*y - t^5.82*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 |
---|---|---|---|---|---|---|---|---|---|
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 |