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 |
---|---|---|---|---|---|---|---|---|---|
79492 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.3581 | 2.5155 | 0.9374 | [X:[], M:[1.0, 0.8149], q:[0.5, 0.5], qb:[], phi:[], S:[0.5741, 0.5926], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 0], [0, -2]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}S_{1}^{2}$ | ${}$ | -4 | t^2.445 + t^3. + t^3.445 + t^3.5 + 3*t^4.722 + 3*t^4.778 + t^4.889 + t^5.445 + t^5.889 - 4*t^6. - t^6.055 + 2*t^6.445 + 5*t^6.5 + t^6.555 + 2*t^6.889 + 2*t^6.945 + 3*t^7. + t^7.055 + t^7.111 + 3*t^7.167 - 3*t^7.278 + t^7.334 - t^7.722 - t^7.778 + t^7.889 + 6*t^8.167 + 13*t^8.222 + 10*t^8.278 + 3*t^8.333 + t^8.334 - 4*t^8.445 + 2*t^8.889 - t^4.722/y - t^4.778/y - t^7.167/y + t^7.278/y - t^7.722/y - t^7.778/y - (2*t^8.167)/y - (3*t^8.222)/y - (2*t^8.278)/y - t^8.333/y + t^8.445/y + t^8.889/y + t^8.945/y - t^4.722*y - t^4.778*y - t^7.167*y + t^7.278*y - t^7.722*y - t^7.778*y - 2*t^8.167*y - 3*t^8.222*y - 2*t^8.278*y - t^8.333*y + t^8.445*y + t^8.889*y + t^8.945*y | t^2.445/g2^2 + t^3. + t^3.445/g2^2 + t^3.5 + t^4.722/g2 + t^4.722/(g1^2*g2) + (g1^2*t^4.722)/g2 + g2*t^4.778 + (g2*t^4.778)/g1^2 + g1^2*g2*t^4.778 + t^4.889/g2^4 + t^5.445/g2^2 + t^5.889/g2^4 - 2*t^6. - t^6./g1^2 - g1^2*t^6. - g2^2*t^6.055 + (2*t^6.445)/g2^2 + 3*t^6.5 + t^6.5/g1^2 + g1^2*t^6.5 + g2^2*t^6.555 + (2*t^6.889)/g2^4 + (2*t^6.945)/g2^2 + 3*t^7. + g2^2*t^7.055 + g2^4*t^7.111 + t^7.167/g2^3 + t^7.167/(g1^2*g2^3) + (g1^2*t^7.167)/g2^3 - g2*t^7.278 - (g2*t^7.278)/g1^2 - g1^2*g2*t^7.278 + t^7.334/g2^6 - t^7.722/g2 - g2*t^7.778 + t^7.889/g2^4 + (2*t^8.167)/g2^3 + (2*t^8.167)/(g1^2*g2^3) + (2*g1^2*t^8.167)/g2^3 + (5*t^8.222)/g2 + (4*t^8.222)/(g1^2*g2) + (4*g1^2*t^8.222)/g2 + 4*g2*t^8.278 + (3*g2*t^8.278)/g1^2 + 3*g1^2*g2*t^8.278 + g2^3*t^8.333 + (g2^3*t^8.333)/g1^2 + g1^2*g2^3*t^8.333 + t^8.334/g2^6 - (2*t^8.445)/g2^2 - t^8.445/(g1^2*g2^2) - (g1^2*t^8.445)/g2^2 + (2*t^8.889)/g2^4 - t^4.722/(g2*y) - (g2*t^4.778)/y - t^7.167/(g2^3*y) + (g2*t^7.278)/y - t^7.722/(g2*y) - (g2*t^7.778)/y - (2*t^8.167)/(g2^3*y) - (3*t^8.222)/(g2*y) - (2*g2*t^8.278)/y - (g2^3*t^8.333)/y + t^8.445/(g2^2*y) + t^8.889/(g2^4*y) + t^8.945/(g2^2*y) - (t^4.722*y)/g2 - g2*t^4.778*y - (t^7.167*y)/g2^3 + g2*t^7.278*y - (t^7.722*y)/g2 - g2*t^7.778*y - (2*t^8.167*y)/g2^3 - (3*t^8.222*y)/g2 - 2*g2*t^8.278*y - g2^3*t^8.333*y + (t^8.445*y)/g2^2 + (t^8.889*y)/g2^4 + (t^8.945*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
79562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}S_{2}$ | 2.3724 | 2.5402 | 0.9339 | [X:[], M:[1.0, 0.8149, 0.8333], q:[0.5, 0.5], qb:[], phi:[], S:[0.5741, 0.5926], Sb:[], A:[], Ab:[]] | t^2.445 + t^2.5 + t^3. + t^3.445 + 3*t^4.722 + 3*t^4.778 + t^4.889 + t^4.945 + t^5. + t^5.445 + t^5.5 + t^5.889 - 4*t^6. - t^4.722/y - t^4.778/y - t^4.722*y - t^4.778*y | detail | |
79556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.3717 | 2.5384 | 0.9343 | [X:[], M:[1.0, 0.8333, 0.8333], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | 2*t^2.5 + t^3. + t^3.5 + 6*t^4.75 + 3*t^5. + 2*t^5.5 - 4*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 3643/1536, c: 3899/1536, M1: 1, M2: 5/6, M3: 5/6, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |
79537 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2204 | 2.3724 | 0.9359 | [X:[], M:[1.0, 0.9009], q:[0.6914, 0.3086], qb:[], phi:[], S:[0.6171, 0.5495], Sb:[], A:[], Ab:[]] | t^2.703 + t^3. + 2*t^3.5 + 2*t^3.703 + t^4.649 + t^5.351 + t^5.405 + t^5.703 - 2*t^6. - t^4.649/y - t^4.851/y - t^4.649*y - t^4.851*y | detail | |
79540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{1}^{2}S_{2}$ | 2.2318 | 2.3941 | 0.9322 | [X:[], M:[1.0, 0.7353], q:[0.6838, 0.3162], qb:[], phi:[], S:[0.5343, 0.6324], Sb:[], A:[], Ab:[]] | t^2.206 + t^3. + t^3.206 + 2*t^3.5 + t^3.794 + t^4.412 + t^4.603 + t^5.206 + t^5.397 + t^5.412 + 2*t^5.706 - t^6. - t^4.603/y - t^4.897/y - t^4.603*y - t^4.897*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
79485 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 2.3431 | 2.4889 | 0.9414 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.5 + 6*t^4.75 - 6*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 3599/1536, c: 3823/1536, M1: 1, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |