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 |
---|---|---|---|---|---|---|---|---|---|
59035 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.933 | 1.108 | 0.8421 | [X:[1.6, 1.6], M:[], q:[0.9333, 0.1333], qb:[0.2667, 0.2667], phi:[0.4]] | [X:[[0], [0]], M:[], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 933/1000, c: 277/250, X1: 8/5, X2: 8/5, q1: 14/15, q2: 2/15, qb1: 4/15, qb2: 4/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }X_{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 11 | 3*t^2.4 + 6*t^3.6 + 12*t^4.8 + 11*t^6. + 33*t^7.2 + 22*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.8/y - t^4.2*y - t^5.4*y - t^6.6*y - t^7.8*y | 3*t^2.4 + 6*t^3.6 + 12*t^4.8 + 11*t^6. + 33*t^7.2 + 22*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.8/y - t^4.2*y - t^5.4*y - t^6.6*y - t^7.8*y |
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 |
---|---|---|---|---|---|---|---|---|
61251 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.9495 | 1.137 | 0.8351 | [X:[1.6, 1.6], M:[0.8], q:[0.9333, 0.1333], qb:[0.2667, 0.2667], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 16*t^4.8 + 13*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1899/2000, c: 1137/1000, X1: 8/5, X2: 8/5, M1: 4/5, q1: 14/15, q2: 2/15, qb1: 4/15, qb2: 4/15, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
57432 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.1445 | 1.357 | 0.8434 | [X:[1.6], q:[0.6667, 0.2667], qb:[0.5333, 0.1333], phi:[0.4]] | 4*t^2.4 + 6*t^3.6 + 16*t^4.8 + 21*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2289/2000, c: 1357/1000, X1: 8/5, q1: 2/3, q2: 4/15, qb1: 8/15, qb2: 2/15, phi1: 2/5} |