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 |
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57964 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4099 | 1.5795 | 0.8926 | [X:[1.4286], M:[0.7143], q:[0.5265, 0.6614], qb:[0.4735, 0.6243], phi:[0.2857]] | [X:[[0]], M:[[0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 61899/43904, c: 69347/43904, X1: 10/7, M1: 5/7, q1: 199/378, q2: 125/189, qb1: 179/378, qb2: 118/189, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.14 + t^2.57 + t^3. + t^3.4 + t^3.45 + t^3.86 + t^4.26 + 2*t^4.29 + t^4.31 + 3*t^4.71 + t^5.12 + 2*t^5.14 + t^5.17 + 3*t^5.57 + t^5.98 - t^6. + 2*t^6.02 + t^6.4 + 4*t^6.43 + t^6.81 + 2*t^6.83 + 4*t^6.86 + 2*t^6.88 + t^6.9 + 2*t^7.26 + 6*t^7.29 + t^7.31 + t^7.67 + t^7.69 + 6*t^7.71 + 3*t^7.74 + t^7.76 + 3*t^8.12 + t^8.14 + 2*t^8.17 + t^8.19 + 3*t^8.52 + 7*t^8.57 + t^8.6 + t^8.62 - t^8.95 + 6*t^8.98 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - t^6.43/y - (2*t^6.86)/y - t^7.26/y - t^7.29/y - t^7.31/y - t^8.12/y - t^8.17/y + t^8.55/y - t^8.57/y + t^8.6/y - t^3.86*y - t^4.71*y - t^6.*y - t^6.43*y - 2*t^6.86*y - t^7.26*y - t^7.29*y - t^7.31*y - t^8.12*y - t^8.17*y + t^8.55*y - t^8.57*y + t^8.6*y + t^8.57*y^2 | t^2.14 + t^2.57 + t^3. + t^3.4/g1^3 + g1^3*t^3.45 + t^3.86 + t^4.26/g1^3 + 2*t^4.29 + g1^3*t^4.31 + 3*t^4.71 + t^5.12/g1^3 + 2*t^5.14 + g1^3*t^5.17 + 3*t^5.57 + t^5.98/g1^3 - t^6. + 2*g1^3*t^6.02 + t^6.4/g1^3 + 4*t^6.43 + t^6.81/g1^6 + (2*t^6.83)/g1^3 + 4*t^6.86 + 2*g1^3*t^6.88 + g1^6*t^6.9 + (2*t^7.26)/g1^3 + 6*t^7.29 + g1^3*t^7.31 + t^7.67/g1^6 + t^7.69/g1^3 + 6*t^7.71 + 3*g1^3*t^7.74 + g1^6*t^7.76 + (3*t^8.12)/g1^3 + t^8.14 + 2*g1^3*t^8.17 + g1^6*t^8.19 + (3*t^8.52)/g1^6 + 7*t^8.57 + g1^3*t^8.6 + g1^6*t^8.62 - t^8.95/g1^6 + (6*t^8.98)/g1^3 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - t^6.43/y - (2*t^6.86)/y - t^7.26/(g1^3*y) - t^7.29/y - (g1^3*t^7.31)/y - t^8.12/(g1^3*y) - (g1^3*t^8.17)/y + t^8.55/(g1^3*y) - t^8.57/y + (g1^3*t^8.6)/y - t^3.86*y - t^4.71*y - t^6.*y - t^6.43*y - 2*t^6.86*y - (t^7.26*y)/g1^3 - t^7.29*y - g1^3*t^7.31*y - (t^8.12*y)/g1^3 - g1^3*t^8.17*y + (t^8.55*y)/g1^3 - t^8.57*y + g1^3*t^8.6*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57297 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4123 | 1.5819 | 0.8928 | [X:[1.4286], M:[0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.571 + 2*t^5.786 - t^3.857/y - t^4.714/y - t^6./y - t^3.857*y - t^4.714*y - t^6.*y | detail | {a: 15501/10976, c: 17363/10976, X1: 10/7, M1: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |