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 |
---|---|---|---|---|---|---|---|---|---|
47903 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0579 | 1.1204 | 0.9442 | [X:[1.6, 1.4], q:[0.5, 0.9], qb:[0.5, 0.9], phi:[0.2]] | [X:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 8463/8000, c: 8963/8000, X1: 8/5, X2: 7/5, q1: 1/2, q2: 9/10, qb1: 1/2, qb2: 9/10, phi1: 1/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$ | ${}$ | -4 | t^3. + t^3.6 + 4*t^4.2 + t^4.8 + t^5.4 - 4*t^6. + 4*t^6.3 + 2*t^7.2 + 7*t^7.8 - 4*t^8.1 + 12*t^8.4 - 4*t^8.7 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6.6/y - t^7.2/y - (4*t^7.8)/y - t^8.4/y - t^3.6*y - t^4.2*y - t^6.6*y - t^7.2*y - 4*t^7.8*y - t^8.4*y + t^7.8*y^2 | t^3. + t^3.6 + 2*t^4.2 + (g1*t^4.2)/g2 + (g2*t^4.2)/g1 + t^4.8 + t^5.4 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + t^6.3/g1^3 + g1^3*t^6.3 + t^6.3/(g1^2*g2) + g1^2*g2*t^6.3 + 2*t^7.2 + 5*t^7.8 + (g1*t^7.8)/g2 + (g2*t^7.8)/g1 - t^8.1/g1^3 - g1^3*t^8.1 - t^8.1/(g1^2*g2) - g1^2*g2*t^8.1 + 6*t^8.4 + (g1^2*t^8.4)/g2^2 + (2*g1*t^8.4)/g2 + (2*g2*t^8.4)/g1 + (g2^2*t^8.4)/g1^2 - t^8.7/g1^3 - g1^3*t^8.7 - t^8.7/(g1^2*g2) - g1^2*g2*t^8.7 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6.6/y - t^7.2/y - (2*t^7.8)/y - (g1*t^7.8)/(g2*y) - (g2*t^7.8)/(g1*y) - t^8.4/y - t^3.6*y - t^4.2*y - t^6.6*y - t^7.2*y - 2*t^7.8*y - (g1*t^7.8*y)/g2 - (g2*t^7.8*y)/g1 - t^8.4*y + t^7.8*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 |
---|---|---|---|---|---|---|---|---|
57439 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}\tilde{q}_{1}$ | 0.906 | 0.9685 | 0.9355 | [X:[1.6, 1.4], q:[0.4, 1.4], qb:[0.6, 0.4], phi:[0.2]] | t^2.4 + t^3. + t^3.6 + t^4.2 + 2*t^4.8 + 3*t^5.4 - t^3.6/y - t^4.2/y - t^6./y - t^3.6*y - t^4.2*y - t^6.*y | detail | {a: 453/500, c: 1937/2000, X1: 8/5, X2: 7/5, q1: 2/5, q2: 7/5, qb1: 3/5, qb2: 2/5, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47873 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6841 | 0.8753 | [q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y | detail |