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 |
---|---|---|---|---|---|---|---|---|---|
57317 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8524 | 0.9111 | 0.9356 | [X:[1.6081, 1.4122], q:[1.5293, 0.5496], qb:[0.2748, 0.4707], phi:[0.1959]] | [X:[[2], [3]], q:[[-1], [4]], qb:[[2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.473 + t^3.061 + t^3.649 + 2*t^4.237 + t^4.824 + t^4.947 + t^5.534 - 2*t^6. + 2*t^6.122 - 2*t^6.588 + 4*t^6.71 - t^7.176 + 4*t^7.298 + t^7.42 + 2*t^7.886 + t^8.008 + t^8.351 + 2*t^8.595 + t^8.939 + t^7.763/y^2 - t^3.588/y - t^4.176/y - t^6.061/y - t^6.649/y - t^7.237/y - t^7.824/y - t^8.412/y - t^3.588*y - t^4.176*y - t^6.061*y - t^6.649*y - t^7.237*y - t^7.824*y - t^8.412*y + t^7.763*y^2 | g1^6*t^2.473 + g1^5*t^3.061 + g1^4*t^3.649 + 2*g1^3*t^4.237 + g1^2*t^4.824 + g1^12*t^4.947 + g1^11*t^5.534 - 2*t^6. + 2*g1^10*t^6.122 - (2*t^6.588)/g1 + 4*g1^9*t^6.71 - t^7.176/g1^2 + 4*g1^8*t^7.298 + g1^18*t^7.42 + 2*g1^7*t^7.886 + g1^17*t^8.008 + t^8.351/g1^4 + 2*g1^16*t^8.595 + t^8.939/g1^5 + t^7.763/(g1^3*y^2) - t^3.588/(g1*y) - t^4.176/(g1^2*y) - (g1^5*t^6.061)/y - (g1^4*t^6.649)/y - (g1^3*t^7.237)/y - (g1^2*t^7.824)/y - (g1*t^8.412)/y - (t^3.588*y)/g1 - (t^4.176*y)/g1^2 - g1^5*t^6.061*y - g1^4*t^6.649*y - g1^3*t^7.237*y - g1^2*t^7.824*y - g1*t^8.412*y + (t^7.763*y^2)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
58049 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 0.8395 | 0.8816 | 0.9522 | [X:[1.6281, 1.4421], M:[1.1157], q:[1.5193, 0.5895], qb:[0.2948, 0.4807], phi:[0.186]] | t^3.21 + t^3.35 + t^3.77 + 2*t^4.33 + t^4.88 - 2*t^6. - t^3.56/y - t^4.12/y - t^3.56*y - t^4.12*y | detail | |
58046 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.8475 | 0.8929 | 0.9491 | [X:[1.6364, 1.4545], M:[], q:[1.5152, 0.6061], qb:[0.303, 0.4848], phi:[0.1818]] | t^2.73 + t^3.27 + t^3.82 + 2*t^4.36 + t^4.91 + t^5.45 - t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y | detail | {a: 1128/1331, c: 2377/2662, X1: 18/11, X2: 16/11, q1: 50/33, q2: 20/33, qb1: 10/33, qb2: 16/33, phi1: 2/11} |
58044 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.832 | 0.8633 | 0.9638 | [X:[1.6667, 1.5], M:[], q:[1.5, 0.6667], qb:[0.3333, 0.5], phi:[0.1667]] | t^3. + t^3.5 + t^4. + 2*t^4.5 + t^5. - t^6. - t^3.5/y - t^4./y - t^3.5*y - t^4.*y | detail | {a: 213/256, c: 221/256, X1: 5/3, X2: 3/2, q1: 3/2, q2: 2/3, qb1: 1/3, qb2: 1/2, phi1: 1/6} |
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 |