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 |
---|---|---|---|---|---|---|---|---|---|
57449 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0602 | 1.1435 | 0.9271 | [X:[1.5556, 1.3333], q:[0.4815, 0.7037], qb:[1.0741, 0.4074], phi:[0.2222]] | [X:[[0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 229/216, c: 247/216, X1: 14/9, X2: 4/3, q1: 13/27, q2: 19/27, qb1: 29/27, qb2: 11/27, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}$ | -1 | t^2.667 + 2*t^3.333 + 2*t^4. + 2*t^4.667 + t^5.333 + 2*t^5.667 - t^6. + 2*t^6.333 + 2*t^6.667 + 5*t^7.333 - 2*t^7.667 + 8*t^8. - 2*t^8.333 + 3*t^8.667 + t^8./y^2 - t^3.667/y - t^4.333/y - t^6.333/y - (2*t^7.)/y - (2*t^7.667)/y - (2*t^8.333)/y - t^3.667*y - t^4.333*y - t^6.333*y - 2*t^7.*y - 2*t^7.667*y - 2*t^8.333*y + t^8.*y^2 | t^2.667 + 2*t^3.333 + 2*t^4. + 2*t^4.667 + t^5.333 + t^5.667/g1^3 + g1^3*t^5.667 - t^6. + t^6.333/g1^3 + g1^3*t^6.333 + 2*t^6.667 + 5*t^7.333 - t^7.667/g1^3 - g1^3*t^7.667 + 8*t^8. - t^8.333/g1^3 - g1^3*t^8.333 + 3*t^8.667 + t^8./y^2 - t^3.667/y - t^4.333/y - t^6.333/y - (2*t^7.)/y - (2*t^7.667)/y - (2*t^8.333)/y - t^3.667*y - t^4.333*y - t^6.333*y - 2*t^7.*y - 2*t^7.667*y - 2*t^8.333*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 |
---|---|---|---|---|---|---|---|---|
59433 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.0502 | 1.1265 | 0.9322 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.4815, 0.7037], qb:[1.0741, 0.4074], phi:[0.2222]] | 3*t^3.33 + 2*t^4. + 2*t^4.67 + 2*t^5.67 - 3*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 1361/1296, c: 365/324, X1: 14/9, X2: 4/3, M1: 10/9, q1: 13/27, q2: 19/27, qb1: 29/27, qb2: 11/27, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
47907 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3267 | 1.4817 | 0.8954 | [X:[1.4202], q:[0.7296, 0.4105], qb:[0.6907, 0.43], phi:[0.2899]] | t^2.521 + t^2.609 + t^3.304 + t^3.391 + t^3.479 + t^4.173 + 3*t^4.261 + t^4.348 + t^5.043 + 2*t^5.13 + t^5.218 + 2*t^5.521 + t^5.825 + t^5.913 - t^6. - t^3.87/y - t^4.739/y - t^3.87*y - t^4.739*y | detail |