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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61257 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.1468 | 1.3048 | 0.8789 | [X:[1.5], M:[1.0, 0.75, 0.7226], q:[0.3704, 0.8978], qb:[0.3796, 0.8522], phi:[0.25]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [-1, 1]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.17 + 3*t^2.25 + t^3. + t^3.67 + t^4.34 + 3*t^4.42 + 7*t^4.5 + t^5.17 + 4*t^5.25 + 2*t^5.58 + 2*t^5.67 + t^5.84 + 2*t^5.92 - 2*t^6. - t^6.08 + t^6.5 + 3*t^6.59 + 8*t^6.67 + 12*t^6.75 + 2*t^7.34 + 3*t^7.42 + 8*t^7.5 - t^7.58 + 2*t^7.75 + 6*t^7.83 + 4*t^7.92 + t^8. + 2*t^8.09 + 2*t^8.17 - 5*t^8.25 - 3*t^8.33 + t^8.67 + 3*t^8.75 + 8*t^8.84 + 12*t^8.92 + t^8.25/y^2 - t^8.92/y^2 - t^3.75/y - t^4.5/y - t^5.92/y - (3*t^6.)/y - t^6.67/y - (3*t^6.75)/y + (2*t^7.42)/y + (3*t^7.5)/y - t^8.09/y - (2*t^8.17)/y - (2*t^8.25)/y + t^8.33/y - t^3.75*y - t^4.5*y - t^5.92*y - 3*t^6.*y - t^6.67*y - 3*t^6.75*y + 2*t^7.42*y + 3*t^7.5*y - t^8.09*y - 2*t^8.17*y - 2*t^8.25*y + t^8.33*y + t^8.25*y^2 - t^8.92*y^2 | (g2*t^2.17)/g1 + 3*t^2.25 + t^3. + (g2*t^3.67)/g1 + (g2^2*t^4.34)/g1^2 + (3*g2*t^4.42)/g1 + 7*t^4.5 + (g2*t^5.17)/g1 + 4*t^5.25 + t^5.58/g1^3 + g1^2*g2*t^5.58 + g1^3*t^5.67 + t^5.67/(g1^2*g2) + (g2^2*t^5.84)/g1^2 + (2*g2*t^5.92)/g1 - 2*t^6. - (g1*t^6.08)/g2 + (g2^3*t^6.5)/g1^3 + (3*g2^2*t^6.59)/g1^2 + (8*g2*t^6.67)/g1 + 12*t^6.75 + (2*g2^2*t^7.34)/g1^2 + (3*g2*t^7.42)/g1 + 8*t^7.5 - (g1*t^7.58)/g2 + (g2*t^7.75)/g1^4 + g1*g2^2*t^7.75 + (3*t^7.83)/g1^3 + 3*g1^2*g2*t^7.83 + 2*g1^3*t^7.92 + (2*t^7.92)/(g1^2*g2) + (g2^3*t^8.)/g1^3 + (2*g2^2*t^8.09)/g1^2 + (2*g2*t^8.17)/g1 - 5*t^8.25 - (3*g1*t^8.33)/g2 + (g2^4*t^8.67)/g1^4 + (3*g2^3*t^8.75)/g1^3 + (8*g2^2*t^8.84)/g1^2 + (12*g2*t^8.92)/g1 + t^8.25/y^2 - (g2*t^8.92)/(g1*y^2) - t^3.75/y - t^4.5/y - (g2*t^5.92)/(g1*y) - (3*t^6.)/y - (g2*t^6.67)/(g1*y) - (3*t^6.75)/y + (2*g2*t^7.42)/(g1*y) + (3*t^7.5)/y - (g2^2*t^8.09)/(g1^2*y) - (2*g2*t^8.17)/(g1*y) - (2*t^8.25)/y + (g1*t^8.33)/(g2*y) - t^3.75*y - t^4.5*y - (g2*t^5.92*y)/g1 - 3*t^6.*y - (g2*t^6.67*y)/g1 - 3*t^6.75*y + (2*g2*t^7.42*y)/g1 + 3*t^7.5*y - (g2^2*t^8.09*y)/g1^2 - (2*g2*t^8.17*y)/g1 - 2*t^8.25*y + (g1*t^8.33*y)/g2 + t^8.25*y^2 - (g2*t^8.92*y^2)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
59428 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 1.1272 | 1.2678 | 0.8891 | [X:[1.5], M:[1.0, 0.75], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]] | 3*t^2.25 + t^3. + 2*t^3.75 + 7*t^4.5 + 4*t^5.25 + 4*t^5.62 + 2*t^6. - t^3.75/y - t^4.5/y - (3*t^6.)/y - t^3.75*y - t^4.5*y - 3*t^6.*y | detail | {a: 4617/4096, c: 5193/4096, X1: 3/2, M1: 1, M2: 3/4, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |