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 |
---|---|---|---|---|---|---|---|---|---|
57935 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ | 0.7808 | 0.8589 | 0.909 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25, 1.25], qb:[0.75, 0.25], phi:[0.25]] | [X:[[0], [0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, q2: 5/4, qb1: 3/4, qb2: 1/4, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}X_{2}$ | 0 | t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 + 4*t^6.75 + 3*t^7.5 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - t^7.5/y - t^8.25/y - t^3.75*y - t^4.5*y - t^6.75*y - t^7.5*y - t^8.25*y + t^8.25*y^2 | t^2.25 + t^3. + t^3.75 + 3*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + t^5.25 + 2*t^6.75 + t^6.75/g1^3 + g1^3*t^6.75 + 3*t^7.5 + 2*t^8.25 - t^8.25/g1^3 - g1^3*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6.75/y - t^7.5/y - t^8.25/y - t^3.75*y - t^4.5*y - t^6.75*y - t^7.5*y - t^8.25*y + t^8.25*y^2 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
45772 | SU3adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ | 0.7808 | 0.8589 | 0.909 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25], qb:[0.25], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, qb1: 1/4, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
57279 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506, 1.1831], qb:[0.8169, 0.4506], phi:[0.1831]] | t^2.198 + t^2.703 + t^3.253 + t^4.352 + t^4.396 + 2*t^4.901 + t^5.407 + t^5.451 + 2*t^5.703 + t^5.956 - 2*t^6. - t^3.549/y - t^4.099/y - t^5.747/y - t^3.549*y - t^4.099*y - t^5.747*y | detail |