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 |
---|---|---|---|---|---|---|---|---|---|
58065 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.2198 | 1.423 | 0.8573 | [X:[1.25, 1.5], M:[0.75], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | [X:[[0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 9993/8192, c: 11657/8192, X1: 5/4, X2: 3/2, M1: 3/4, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}^{3}$, ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}X_{1}$, ${ }q_{2}\tilde{q}_{2}X_{1}$ | 6 | 2*t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + t^4.12 + 6*t^4.5 + 3*t^4.88 + 5*t^5.25 + 6*t^5.62 + 6*t^6. + 4*t^6.38 + 14*t^6.75 + 9*t^7.12 + 12*t^7.5 + 14*t^7.88 + 15*t^8.25 + 11*t^8.62 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^7.12/y - (2*t^7.5)/y + t^7.88/y + t^8.25/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^7.12*y - 2*t^7.5*y + t^7.88*y + t^8.25*y | 2*t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + 3*t^4.88 + 3*t^5.25 + t^5.25/g1^3 + g1^3*t^5.25 + 4*t^5.62 + t^5.62/g1^3 + g1^3*t^5.62 + 4*t^6. + t^6./g1^3 + g1^3*t^6. + 4*t^6.38 + 10*t^6.75 + (2*t^6.75)/g1^3 + 2*g1^3*t^6.75 + 7*t^7.12 + t^7.12/g1^3 + g1^3*t^7.12 + 8*t^7.5 + (2*t^7.5)/g1^3 + 2*g1^3*t^7.5 + 10*t^7.88 + (2*t^7.88)/g1^3 + 2*g1^3*t^7.88 + 9*t^8.25 + (3*t^8.25)/g1^3 + 3*g1^3*t^8.25 + 5*t^8.62 + (3*t^8.62)/g1^3 + 3*g1^3*t^8.62 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^7.12/y - (2*t^7.5)/y + t^7.88/y + t^8.25/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^7.12*y - 2*t^7.5*y + t^7.88*y + t^8.25*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 |
---|---|---|---|---|---|---|---|---|
61110 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.21 | 1.4131 | 0.8563 | [X:[1.25, 1.5], M:[0.75], q:[0.25, 0.5], qb:[0.75, 0.25], phi:[0.375]] | 2*t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + 2*t^4.12 + 4*t^4.5 + 5*t^4.88 + 4*t^5.25 + 6*t^5.62 + 5*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 1239/1024, c: 1447/1024, X1: 5/4, X2: 3/2, M1: 3/4, q1: 1/4, q2: 1/2, qb1: 3/4, qb2: 1/4, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
57325 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.2008 | 1.3883 | 0.8649 | [X:[1.25, 1.5], q:[0.2917, 0.5417], qb:[0.7083, 0.2083], phi:[0.375]] | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + 3*t^3.75 + t^4.125 + 4*t^4.5 + 2*t^4.875 + 4*t^5.25 + 4*t^5.625 + 5*t^6. - t^4.125/y - t^5.25/y - t^4.125*y - t^5.25*y | detail | {a: 9837/8192, c: 11373/8192, X1: 5/4, X2: 3/2, q1: 7/24, q2: 13/24, qb1: 17/24, qb2: 5/24, phi1: 3/8} |