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 |
---|---|---|---|---|---|---|---|---|---|
58855 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.2343 | 1.3772 | 0.8963 | [X:[1.4286], M:[1.1429], q:[0.3333, 0.9048], qb:[0.5238, 0.5238], phi:[0.2857]] | [X:[[0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 3387/2744, c: 3779/2744, X1: 10/7, M1: 8/7, q1: 1/3, q2: 19/21, qb1: 11/21, qb2: 11/21, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.57 + 3*t^3.43 + 4*t^4.29 + 4*t^5.14 + 4*t^5.57 + t^6. + 2*t^6.43 + 9*t^6.86 + 13*t^7.71 + 2*t^8.14 + 11*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (3*t^7.29)/y - (3*t^8.14)/y - t^3.86*y - t^4.71*y - 2*t^6.43*y - 3*t^7.29*y - 3*t^8.14*y + t^8.57*y^2 | 2*t^2.57 + 3*t^3.43 + 4*t^4.29 + 4*t^5.14 + (2*t^5.57)/g1^3 + 2*g1^3*t^5.57 + t^6. + t^6.43/g1^3 + g1^3*t^6.43 + 9*t^6.86 + 13*t^7.71 + t^8.14/g1^3 + g1^3*t^8.14 + 11*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (3*t^7.29)/y - (3*t^8.14)/y - t^3.86*y - t^4.71*y - 2*t^6.43*y - 3*t^7.29*y - 3*t^8.14*y + t^8.57*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 |
---|---|---|---|---|---|---|---|---|
61082 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{2}$ | 1.2469 | 1.3987 | 0.8915 | [X:[1.4286], M:[1.1429, 0.8571], q:[0.3333, 0.9048], qb:[0.5238, 0.5238], phi:[0.2857]] | 3*t^2.57 + 2*t^3.43 + 4*t^4.29 + 7*t^5.14 + 4*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 6843/5488, c: 1919/1372, X1: 10/7, M1: 8/7, M2: 6/7, q1: 1/3, q2: 19/21, qb1: 11/21, qb2: 11/21, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
57624 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2394 | 1.3737 | 0.9022 | [X:[1.4628], M:[1.0745], q:[0.3732, 0.9105], qb:[0.5523, 0.5523], phi:[0.2686]] | t^2.42 + t^2.78 + t^3.22 + 2*t^3.58 + 4*t^4.39 + t^4.84 + 2*t^5.19 + t^5.55 + t^5.64 + 4*t^5.78 - 2*t^6. - t^3.81/y - t^4.61/y - t^3.81*y - t^4.61*y | detail |