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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61156 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4325 | 1.6075 | 0.8911 | [X:[1.4], M:[0.7, 1.1], q:[0.6, 0.5], qb:[0.5, 0.6], phi:[0.3]] | [X:[[0]], M:[[0], [0]], q:[[-1], [2]], qb:[[-2], [1]], phi:[[0]]] | 1 | {a: 573/400, c: 643/400, X1: 7/5, M1: 7/10, M2: 11/10, q1: 3/5, q2: 1/2, qb1: 1/2, qb2: 3/5, phi1: 3/10} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.1 + t^3. + 3*t^3.3 + t^3.6 + 4*t^4.2 + t^4.5 + t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^6. + 5*t^6.3 + 8*t^6.6 + 3*t^6.9 + 7*t^7.2 + 12*t^7.5 + 6*t^7.8 + 2*t^8.1 + 11*t^8.4 + 12*t^8.7 + t^8.7/y^2 - t^3.9/y - t^4.8/y - t^6./y - (2*t^6.9)/y - (3*t^7.2)/y - t^7.5/y - (3*t^8.1)/y + (2*t^8.4)/y + t^8.7/y - t^3.9*y - t^4.8*y - t^6.*y - 2*t^6.9*y - 3*t^7.2*y - t^7.5*y - 3*t^8.1*y + 2*t^8.4*y + t^8.7*y + t^8.7*y^2 | t^2.1 + t^3. + t^3.3 + t^3.3/g1^3 + g1^3*t^3.3 + t^3.6 + 2*t^4.2 + t^4.2/g1^3 + g1^3*t^4.2 + t^4.5 + t^4.8 + t^5.1 + t^5.1/g1^3 + g1^3*t^5.1 + 2*t^5.4 + t^5.4/g1^3 + g1^3*t^5.4 + t^5.7 - t^6. + 3*t^6.3 + t^6.3/g1^3 + g1^3*t^6.3 + 4*t^6.6 + t^6.6/g1^6 + t^6.6/g1^3 + g1^3*t^6.6 + g1^6*t^6.6 + t^6.9 + t^6.9/g1^3 + g1^3*t^6.9 + 3*t^7.2 + t^7.2/g1^6 + t^7.2/g1^3 + g1^3*t^7.2 + g1^6*t^7.2 + 4*t^7.5 + t^7.5/g1^6 + (3*t^7.5)/g1^3 + 3*g1^3*t^7.5 + g1^6*t^7.5 + 4*t^7.8 + t^7.8/g1^3 + g1^3*t^7.8 + t^8.1/g1^3 + g1^3*t^8.1 + 5*t^8.4 + t^8.4/g1^6 + (2*t^8.4)/g1^3 + 2*g1^3*t^8.4 + g1^6*t^8.4 + 6*t^8.7 + t^8.7/g1^6 + (2*t^8.7)/g1^3 + 2*g1^3*t^8.7 + g1^6*t^8.7 + t^8.7/y^2 - t^3.9/y - t^4.8/y - t^6./y - (2*t^6.9)/y - t^7.2/y - t^7.2/(g1^3*y) - (g1^3*t^7.2)/y - t^7.5/y - t^8.1/y - t^8.1/(g1^3*y) - (g1^3*t^8.1)/y + t^8.4/(g1^3*y) + (g1^3*t^8.4)/y + t^8.7/y - t^3.9*y - t^4.8*y - t^6.*y - 2*t^6.9*y - t^7.2*y - (t^7.2*y)/g1^3 - g1^3*t^7.2*y - t^7.5*y - t^8.1*y - (t^8.1*y)/g1^3 - g1^3*t^8.1*y + (t^8.4*y)/g1^3 + g1^3*t^8.4*y + t^8.7*y + t^8.7*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 |
---|---|---|---|---|---|---|---|---|---|
58629 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.4613 | 1.6638 | 0.8783 | [X:[1.345], M:[0.6725, 1.0174], q:[0.5729, 0.5267], qb:[0.4733, 0.462], phi:[0.3275]] | t^2.02 + t^2.97 + t^3. + t^3.05 + t^3.1 + t^3.14 + t^3.95 + 2*t^4.03 + t^4.09 + t^4.12 + t^4.93 + t^4.97 + t^4.98 + t^5.02 + 2*t^5.07 + t^5.1 + t^5.12 + t^5.16 + t^5.17 + t^5.21 + t^5.93 + t^5.97 - 2*t^6. - t^3.98/y - t^4.97/y - t^6./y - t^3.98*y - t^4.97*y - t^6.*y | detail |