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 |
---|---|---|---|---|---|---|---|---|---|
79528 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}X_{1}$ | 2.2886 | 2.3858 | 0.9592 | [X:[1.3333], M:[0.6667], q:[0.6667, 0.6667], qb:[], phi:[], S:[0.6667, 0.4444], Sb:[], A:[], Ab:[]] | [X:[[0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 1483/648, c: 773/324, X1: 4/3, M1: 2/3, q1: 2/3, q2: 2/3, S1: 2/3, S2: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{1}^{2}$, ${ }X_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }S_{2}^{4}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ 2}S_{1}S_{2}^{3}$ | 0 | t^2.667 + t^3.333 + 2*t^4. + 4*t^5.333 + 5*t^6.667 + 3*t^7.333 + 7*t^8. + 3*t^8.667 - t^4.333/y - t^5./y - t^7./y - (2*t^7.667)/y - (4*t^8.333)/y - t^4.333*y - t^5.*y - t^7.*y - 2*t^7.667*y - 4*t^8.333*y | t^2.667 + t^3.333 + 2*t^4. + 2*t^5.333 + t^5.333/g1^2 + g1^2*t^5.333 + 5*t^6.667 + 3*t^7.333 + 5*t^8. + t^8./g1^2 + g1^2*t^8. + t^8.667 + t^8.667/g1^2 + g1^2*t^8.667 - t^4.333/y - t^5./y - t^7./y - (2*t^7.667)/y - (4*t^8.333)/y - t^4.333*y - t^5.*y - t^7.*y - 2*t^7.667*y - 4*t^8.333*y |
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 |
---|---|---|---|---|---|---|---|---|
79593 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}S_{1}S_{2}$ | 2.2986 | 2.4028 | 0.9566 | [X:[1.3333], M:[0.6667, 0.8889], q:[0.6667, 0.6667], qb:[], phi:[], S:[0.6667, 0.4444], Sb:[], A:[], Ab:[]] | 2*t^2.667 + 2*t^4. + 6*t^5.333 - t^6. - t^4.333/y - t^5./y - t^4.333*y - t^5.*y | detail | {a: 331/144, c: 173/72, X1: 4/3, M1: 2/3, M2: 8/9, q1: 2/3, q2: 2/3, S1: 2/3, S2: 4/9} |
79590 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}S_{2}^{2}$ | 2.2785 | 2.3688 | 0.9619 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.6667, 0.6667], qb:[], phi:[], S:[0.6667, 0.4444], Sb:[], A:[], Ab:[]] | 2*t^3.333 + 2*t^4. + 3*t^5.333 - t^6. - t^4.333/y - t^5./y - t^4.333*y - t^5.*y | detail | {a: 2953/1296, c: 1535/648, X1: 4/3, M1: 2/3, M2: 10/9, q1: 2/3, q2: 2/3, S1: 2/3, S2: 4/9} |
79592 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}^{2}S_{2}$ | 2.2608 | 2.358 | 0.9588 | [X:[1.3333], M:[0.6667], q:[0.5556, 0.7778], qb:[], phi:[], S:[0.6667, 0.4444], Sb:[], A:[], Ab:[]] | t^2.667 + t^3.333 + 2*t^4. + t^4.667 + 2*t^5.333 + t^6. - t^4.333/y - t^5./y - t^4.333*y - t^5.*y | detail | {a: 1465/648, c: 191/81, X1: 4/3, M1: 2/3, q1: 5/9, q2: 7/9, S1: 2/3, S2: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
79489 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3962 | 2.5275 | 0.9481 | [X:[], M:[0.8247], q:[0.5877, 0.5877], qb:[], phi:[], S:[0.5877, 0.5498], Sb:[], A:[], Ab:[]] | t^2.474 + t^3.299 + t^3.412 + t^3.526 + t^4.948 + 3*t^5.175 + 3*t^5.289 + t^5.773 - 4*t^6. - t^4.649/y - t^4.763/y - t^4.649*y - t^4.763*y | detail |