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 |
---|---|---|---|---|---|---|---|---|---|
57431 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1535 | 1.366 | 0.8444 | [X:[1.6], q:[0.6, 0.2667], qb:[0.6, 0.1333], phi:[0.4]] | [X:[[0]], q:[[-1], [0]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 2307/2000, c: 683/500, X1: 8/5, q1: 3/5, q2: 4/15, qb1: 3/5, qb2: 2/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 6 | t^2.2 + 2*t^2.4 + t^2.6 + t^3.4 + 3*t^3.6 + 2*t^3.8 + t^4.4 + 3*t^4.6 + 7*t^4.8 + 3*t^5. + 2*t^5.2 + 2*t^5.6 + 5*t^5.8 + 6*t^6. + 6*t^6.2 + 2*t^6.4 + t^6.6 + 4*t^6.8 + 9*t^7. + 15*t^7.2 + 9*t^7.4 + 6*t^7.6 + 4*t^7.8 + 6*t^8. + 10*t^8.2 + 13*t^8.4 + 11*t^8.6 + 9*t^8.8 - t^4.2/y - t^5.4/y - t^6.4/y - t^6.6/y - t^6.8/y + t^7.6/y - t^7.8/y + t^8./y + (4*t^8.8)/y - t^4.2*y - t^5.4*y - t^6.4*y - t^6.6*y - t^6.8*y + t^7.6*y - t^7.8*y + t^8.*y + 4*t^8.8*y | t^2.2/g1 + 2*t^2.4 + g1*t^2.6 + t^3.4/g1 + 3*t^3.6 + 2*g1*t^3.8 + t^4.4/g1^2 + (3*t^4.6)/g1 + 7*t^4.8 + 3*g1*t^5. + 2*g1^2*t^5.2 + (2*t^5.6)/g1^2 + (5*t^5.8)/g1 + 6*t^6. + 6*g1*t^6.2 + 2*g1^2*t^6.4 + t^6.6/g1^3 + (4*t^6.8)/g1^2 + (9*t^7.)/g1 + 15*t^7.2 + 9*g1*t^7.4 + 6*g1^2*t^7.6 + (2*t^7.8)/g1^3 + 2*g1^3*t^7.8 + (6*t^8.)/g1^2 + (10*t^8.2)/g1 + 13*t^8.4 + 11*g1*t^8.6 + t^8.8/g1^4 + 8*g1^2*t^8.8 - t^4.2/y - t^5.4/y - t^6.4/(g1*y) - t^6.6/y - (g1*t^6.8)/y + t^7.6/(g1*y) - t^7.8/y + (g1*t^8.)/y + (4*t^8.8)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.4*y)/g1 - t^6.6*y - g1*t^6.8*y + (t^7.6*y)/g1 - t^7.8*y + g1*t^8.*y + (4*t^8.8*y)/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 |
---|---|---|---|---|---|---|---|---|
58602 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.717 | 0.892 | 0.8038 | [X:[1.6, 1.6], M:[], q:[1.0667, 0.2667], qb:[0.1333, 0.1333], phi:[0.4]] | 5*t^2.4 + 5*t^3.6 + 17*t^4.8 + 13*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 717/1000, c: 223/250, X1: 8/5, X2: 8/5, q1: 16/15, q2: 4/15, qb1: 2/15, qb2: 2/15, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47887 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.1715 | 1.384 | 0.8465 | [X:[1.6], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 2*t^4.2 + 12*t^4.8 + 6*t^5.4 + 14*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2343/2000, c: 173/125, X1: 8/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |