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 |
---|---|---|---|---|---|---|---|---|---|
60488 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.0877 | 1.2752 | 0.853 | [X:[1.6154], M:[1.2308], q:[0.1462, 0.7615], qb:[0.5462, 0.2385], phi:[0.3846]] | [X:[[0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 764703/703040, c: 896523/703040, X1: 21/13, M1: 16/13, q1: 19/130, q2: 99/130, qb1: 71/130, qb2: 31/130, phi1: 5/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.08 + t^2.31 + t^3. + t^3.23 + 2*t^3.46 + t^3.69 + t^3.92 + t^4.15 + t^4.22 + t^4.32 + 2*t^4.38 + t^4.62 + t^4.78 + t^4.85 + t^5.08 + t^5.15 + 2*t^5.31 + t^5.38 + t^5.47 + 3*t^5.54 + t^5.61 + 3*t^5.77 - 2*t^6. - t^6.07 + t^6.16 + 3*t^6.23 + t^6.3 + 4*t^6.46 + 2*t^6.53 + 2*t^6.62 + 5*t^6.69 + t^6.85 + 5*t^6.92 + t^7.15 + 4*t^7.38 + 2*t^7.45 + t^7.55 + 6*t^7.62 + 3*t^7.68 + 3*t^7.78 + 6*t^7.85 + t^8.08 - t^8.15 + 2*t^8.24 + 2*t^8.38 + t^8.45 + t^8.47 + 6*t^8.54 + 4*t^8.61 + t^8.63 + 2*t^8.7 + 8*t^8.77 + 4*t^8.84 + 4*t^8.93 - t^4.15/y - t^5.31/y - t^6.23/y - t^7.15/y - (2*t^7.62)/y + t^8.31/y + (2*t^8.54)/y + (2*t^8.77)/y - t^4.15*y - t^5.31*y - t^6.23*y - t^7.15*y - 2*t^7.62*y + t^8.31*y + 2*t^8.54*y + 2*t^8.77*y | t^2.08 + t^2.31 + t^3. + t^3.23 + 2*t^3.46 + t^3.69 + t^3.92 + t^4.15 + g1^3*t^4.22 + t^4.32/g1^3 + 2*t^4.38 + t^4.62 + t^4.78/g1^3 + t^4.85 + t^5.08 + g1^3*t^5.15 + 2*t^5.31 + g1^3*t^5.38 + t^5.47/g1^3 + 3*t^5.54 + g1^3*t^5.61 + 3*t^5.77 - 2*t^6. - g1^3*t^6.07 + t^6.16/g1^3 + 3*t^6.23 + g1^3*t^6.3 + 4*t^6.46 + 2*g1^3*t^6.53 + (2*t^6.62)/g1^3 + 5*t^6.69 + t^6.85/g1^3 + 5*t^6.92 + t^7.15 + 4*t^7.38 + 2*g1^3*t^7.45 + t^7.55/g1^3 + 6*t^7.62 + 3*g1^3*t^7.68 + (3*t^7.78)/g1^3 + 6*t^7.85 + t^8.08 - g1^3*t^8.15 + (2*t^8.24)/g1^3 + 2*g1^3*t^8.38 + g1^6*t^8.45 + t^8.47/g1^3 + 6*t^8.54 + 4*g1^3*t^8.61 + t^8.63/g1^6 + (2*t^8.7)/g1^3 + 8*t^8.77 + 4*g1^3*t^8.84 + (4*t^8.93)/g1^3 - t^4.15/y - t^5.31/y - t^6.23/y - t^7.15/y - (2*t^7.62)/y + t^8.31/y + (2*t^8.54)/y + (2*t^8.77)/y - t^4.15*y - t^5.31*y - t^6.23*y - t^7.15*y - 2*t^7.62*y + t^8.31*y + 2*t^8.54*y + 2*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
61041 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ | 1.1059 | 1.3078 | 0.8456 | [X:[1.6154], M:[1.2308, 0.7692], q:[0.1462, 0.7615], qb:[0.5462, 0.2385], phi:[0.3846]] | t^2.08 + 2*t^2.31 + t^3. + t^3.23 + 2*t^3.46 + t^3.92 + t^4.15 + t^4.22 + t^4.32 + 3*t^4.38 + 3*t^4.62 + t^4.78 + t^4.85 + t^5.08 + t^5.15 + 3*t^5.31 + t^5.38 + t^5.47 + 4*t^5.54 + t^5.61 + 4*t^5.77 - 3*t^6. - t^4.15/y - t^5.31/y - t^4.15*y - t^5.31*y | detail | {a: 777483/703040, c: 919443/703040, X1: 21/13, M1: 16/13, M2: 10/13, q1: 19/130, q2: 99/130, qb1: 71/130, qb2: 31/130, phi1: 5/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
57728 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.1613 | 1.3662 | 0.85 | [X:[1.594], M:[1.1879], q:[0.2239, 0.5394], qb:[0.6183, 0.1822], phi:[0.406]] | t^2.16 + t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.56 + 2*t^3.65 + t^3.74 + t^4.17 + t^4.18 + t^4.33 + 2*t^4.6 + t^4.69 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.29 + t^5.38 + t^5.4 + t^5.47 + t^5.55 + t^5.64 + t^5.67 + t^5.73 + 3*t^5.82 + 3*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y | detail |