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 |
---|---|---|---|---|---|---|---|---|---|
57452 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3133 | 1.4571 | 0.9013 | [X:[1.4248], M:[1.1504], q:[0.7212, 0.4204], qb:[0.7036, 0.4292], phi:[0.2876]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, -4], [-1, 4]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$ | -2 | t^2.588 + t^3.372 + t^3.412 + 2*t^3.451 + t^4.235 + 3*t^4.274 + t^4.314 + t^5.137 + t^5.177 + 2*t^5.549 - 2*t^6. + t^6.039 + 2*t^6.372 + 2*t^6.412 + 2*t^6.451 + t^6.745 + t^6.784 + 2*t^6.823 + 2*t^6.863 + 2*t^6.902 + t^7.607 + 4*t^7.647 + 4*t^7.686 + 7*t^7.726 + 2*t^7.765 - 2*t^8.098 - 2*t^8.137 - 2*t^8.177 + t^8.47 + 3*t^8.509 + 6*t^8.549 + 4*t^8.588 + 2*t^8.628 + 2*t^8.921 + 2*t^8.961 + t^8.588/y^2 - t^3.863/y - t^4.726/y - t^6.451/y - t^7.235/y - (3*t^7.314)/y - t^8.098/y - (2*t^8.137)/y - (2*t^8.177)/y + t^8.961/y - t^3.863*y - t^4.726*y - t^6.451*y - t^7.235*y - 3*t^7.314*y - t^8.098*y - 2*t^8.137*y - 2*t^8.177*y + t^8.961*y + t^8.588*y^2 | t^2.588/g2^3 + g2^10*t^3.372 + g2^3*t^3.412 + (2*t^3.451)/g2^4 + g2^9*t^4.235 + 3*g2^2*t^4.274 + t^4.314/g2^5 + g2*t^5.137 + t^5.177/g2^6 + (g2^3*t^5.549)/g1^3 + g1^3*g2^5*t^5.549 - 2*t^6. + t^6.039/g2^7 + (g2^9*t^6.372)/g1^3 + g1^3*g2^11*t^6.372 + (g2^2*t^6.412)/g1^3 + g1^3*g2^4*t^6.412 + t^6.451/(g1^3*g2^5) + (g1^3*t^6.451)/g2^3 + g2^20*t^6.745 + g2^13*t^6.784 + 2*g2^6*t^6.823 + (2*t^6.863)/g2 + (2*t^6.902)/g2^8 + g2^19*t^7.607 + 4*g2^12*t^7.647 + 4*g2^5*t^7.686 + (7*t^7.726)/g2^2 + (2*t^7.765)/g2^9 - (g2^7*t^8.098)/g1^3 - g1^3*g2^9*t^8.098 - t^8.137/g1^3 - g1^3*g2^2*t^8.137 - t^8.177/(g1^3*g2^7) - (g1^3*t^8.177)/g2^5 + g2^18*t^8.47 + 3*g2^11*t^8.509 + 6*g2^4*t^8.549 + (4*t^8.588)/g2^3 + (2*t^8.628)/g2^10 + (g2^13*t^8.921)/g1^3 + g1^3*g2^15*t^8.921 + (g2^6*t^8.961)/g1^3 + g1^3*g2^8*t^8.961 + t^8.588/(g2^3*y^2) - t^3.863/(g2*y) - t^4.726/(g2^2*y) - t^6.451/(g2^4*y) - (g2^9*t^7.235)/y - (3*t^7.314)/(g2^5*y) - (g2^8*t^8.098)/y - (2*g2*t^8.137)/y - (2*t^8.177)/(g2^6*y) + (g2^7*t^8.961)/y - (t^3.863*y)/g2 - (t^4.726*y)/g2^2 - (t^6.451*y)/g2^4 - g2^9*t^7.235*y - (3*t^7.314*y)/g2^5 - g2^8*t^8.098*y - 2*g2*t^8.137*y - (2*t^8.177*y)/g2^6 + g2^7*t^8.961*y + (t^8.588*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
59415 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9225 | 0.9975 | 0.9248 | [X:[1.6, 1.4], M:[0.8], q:[0.4, 0.8], qb:[1.2, 0.4], phi:[0.2]] | 2*t^2.4 + t^3. + t^4.2 + 4*t^4.8 + 4*t^5.4 - t^6. - t^3.6/y - t^4.2/y - (2*t^6.)/y - t^3.6*y - t^4.2*y - 2*t^6.*y | detail | {a: 369/400, c: 399/400, X1: 8/5, X2: 7/5, M1: 4/5, q1: 2/5, q2: 4/5, qb1: 6/5, qb2: 2/5, 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 |
---|---|---|---|---|---|---|---|---|---|
47907 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3267 | 1.4817 | 0.8954 | [X:[1.4202], q:[0.7296, 0.4105], qb:[0.6907, 0.43], phi:[0.2899]] | t^2.521 + t^2.609 + t^3.304 + t^3.391 + t^3.479 + t^4.173 + 3*t^4.261 + t^4.348 + t^5.043 + 2*t^5.13 + t^5.218 + 2*t^5.521 + t^5.825 + t^5.913 - t^6. - t^3.87/y - t^4.739/y - t^3.87*y - t^4.739*y | detail |