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 |
---|---|---|---|---|---|---|---|---|---|
60592 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ | 0.8642 | 0.9336 | 0.9256 | [X:[1.5556, 1.3333, 1.3333], M:[0.8889], q:[0.3333, 0.5556], qb:[1.4444, 0.3333], phi:[0.2222]] | [X:[[0], [0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 8/9, q1: 1/3, q2: 5/9, qb1: 13/9, qb2: 1/3, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. + 3*t^6.67 + t^7.33 + 2*t^7.67 + 7*t^8. - 2*t^8.33 - 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^7./y - t^7.67/y - t^8.33/y - t^3.67*y - t^4.33*y - t^6.33*y - t^7.*y - t^7.67*y - t^8.33*y + t^8.*y^2 | 2*t^2.67 + 2*t^4. + t^4.67 + t^5./g1^3 + g1^3*t^5. + 3*t^5.33 - 2*t^6. + 3*t^6.67 + t^7.33 + t^7.67/g1^3 + g1^3*t^7.67 + 7*t^8. - t^8.33/g1^3 - g1^3*t^8.33 - 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^7./y - t^7.67/y - t^8.33/y - t^3.67*y - t^4.33*y - t^6.33*y - t^7.*y - t^7.67*y - t^8.33*y + t^8.*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 |
---|---|---|---|---|---|---|---|---|---|
45792 | SU3adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{1}M_{3}$ | 0.8642 | 0.9336 | 0.9256 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] | 2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
57736 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0934 | 1.1836 | 0.9237 | [X:[1.5556, 1.3333], M:[0.8889], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | 2*t^2.67 + 4*t^4. + t^4.67 + 4*t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 1417/1296, c: 767/648, X1: 14/9, X2: 4/3, M1: 8/9, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |