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 |
---|---|---|---|---|---|---|---|---|---|
79522 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4084 | 2.5484 | 0.9451 | [X:[], M:[0.8622, 0.8266], q:[0.5867, 0.5867], qb:[], phi:[], S:[0.5867, 0.5511], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -1], [0, 6]], q:[[-1, -6], [1, 0]], qb:[], phi:[], S:[[0, -3], [0, 4]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -4 | t^2.48 + t^2.587 + t^3.306 + t^3.52 + t^4.959 + t^5.066 + 4*t^5.173 + 3*t^5.28 + t^5.786 - 4*t^6. + 2*t^6.613 + t^6.72 + 4*t^6.827 + 5*t^6.934 + 3*t^7.041 + t^7.439 + t^7.546 + t^8.266 + 5*t^8.48 + 6*t^8.587 + 10*t^8.694 + 6*t^8.801 - t^4.653/y - t^4.76/y - t^7.133/y - t^7.24/y - (2*t^7.959)/y - t^8.066/y - (2*t^8.173)/y - (2*t^8.28)/y + t^8.786/y + t^8.893/y - t^4.653*y - t^4.76*y - t^7.133*y - t^7.24*y - 2*t^7.959*y - t^8.066*y - 2*t^8.173*y - 2*t^8.28*y + t^8.786*y + t^8.893*y | g2^6*t^2.48 + t^2.587/g2 + g2^8*t^3.306 + t^3.52/g2^6 + g2^12*t^4.959 + g2^5*t^5.066 + t^5.173/(g1^2*g2^8) + (2*t^5.173)/g2^2 + g1^2*g2^4*t^5.173 + t^5.28/(g1^2*g2^15) + t^5.28/g2^9 + (g1^2*t^5.28)/g2^3 + g2^14*t^5.786 - 2*t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. + 2*g2^16*t^6.613 + g2^9*t^6.72 + 4*g2^2*t^6.827 + t^6.934/(g1^2*g2^11) + (3*t^6.934)/g2^5 + g1^2*g2*t^6.934 + (3*t^7.041)/g2^12 + g2^18*t^7.439 + g2^11*t^7.546 + g2^20*t^8.266 + (2*t^8.48)/g1^2 + g2^6*t^8.48 + 2*g1^2*g2^12*t^8.48 + (2*t^8.587)/(g1^2*g2^7) + (2*t^8.587)/g2 + 2*g1^2*g2^5*t^8.587 + (3*t^8.694)/(g1^2*g2^14) + (4*t^8.694)/g2^8 + (3*g1^2*t^8.694)/g2^2 + (2*t^8.801)/(g1^2*g2^21) + (2*t^8.801)/g2^15 + (2*g1^2*t^8.801)/g2^9 - (g2^4*t^4.653)/y - t^4.76/(g2^3*y) - (g2^10*t^7.133)/y - (g2^3*t^7.24)/y - (2*g2^12*t^7.959)/y - (g2^5*t^8.066)/y - (2*t^8.173)/(g2^2*y) - (2*t^8.28)/(g2^9*y) + (g2^14*t^8.786)/y + (g2^7*t^8.893)/y - g2^4*t^4.653*y - (t^4.76*y)/g2^3 - g2^10*t^7.133*y - g2^3*t^7.24*y - 2*g2^12*t^7.959*y - g2^5*t^8.066*y - (2*t^8.173*y)/g2^2 - (2*t^8.28*y)/g2^9 + g2^14*t^8.786*y + g2^7*t^8.893*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 |
---|---|---|---|---|---|---|---|---|
79602 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ | 1.959 | 2.134 | 0.918 | [X:[], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.4, 0.8], Sb:[], A:[], Ab:[]] | 2*t^2.4 + 4*t^3.6 + 8*t^4.8 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1959/1000, c: 1067/500, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 2/5, S2: 4/5} |
79608 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}M_{3}$ | 2.394 | 2.5248 | 0.9482 | [X:[], M:[0.8605, 0.8371, 1.1629], q:[0.5815, 0.5815], qb:[], phi:[], S:[0.5815, 0.5581], Sb:[], A:[], Ab:[]] | t^2.581 + t^3.348 + 2*t^3.489 + 4*t^5.163 + 3*t^5.233 - 5*t^6. - t^4.674/y - t^4.744/y - t^4.674*y - t^4.744*y | detail | |
79600 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ | 2.3086 | 2.4648 | 0.9366 | [X:[], M:[0.8333, 1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5, 0.6667], Sb:[], A:[], Ab:[]] | t^2.5 + 2*t^3. + t^4. + 3*t^4.5 + 4*t^5. + t^5.5 - t^4.5/y - t^5./y - t^4.5*y - t^5.*y | detail | {a: 591/256, c: 631/256, M1: 5/6, M2: 1, q1: 1/2, q2: 1/2, S1: 1/2, S2: 2/3} |
79561 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4235 | 2.5741 | 0.9415 | [X:[], M:[0.8638, 0.817, 0.817], q:[0.5915, 0.5915], qb:[], phi:[], S:[0.5915, 0.5446], Sb:[], A:[], Ab:[]] | 2*t^2.451 + t^2.592 + t^3.268 + 3*t^4.902 + 2*t^5.042 + 4*t^5.183 + 3*t^5.324 + 2*t^5.719 - 5*t^6. - t^4.634/y - t^4.775/y - t^4.634*y - t^4.775*y | detail | |
79601 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ | 1.0005 | 1.1724 | 0.8534 | [X:[1.5], M:[0.75, 1.5], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | 4*t^2.25 + 2*t^3. + 2*t^3.75 + 12*t^4.5 + 8*t^5.25 + 6*t^6. - t^3.75/y - t^5.25/y - (4*t^6.)/y - t^3.75*y - t^5.25*y - 4*t^6.*y | detail | {a: 2049/2048, c: 2401/2048, X1: 3/2, M1: 3/4, M2: 3/2, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1} |
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 |
---|---|---|---|---|---|---|---|---|---|
79486 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4171 | 2.5492 | 0.9482 | [X:[], M:[0.8763, 0.742], q:[0.629, 0.629], qb:[], phi:[], S:[0.5618, 0.5618], Sb:[], A:[], Ab:[]] | t^2.226 + t^2.629 + 2*t^3.371 + t^4.452 + t^4.855 + t^5.258 + 6*t^5.459 + 2*t^5.597 - 5*t^6. - (2*t^4.686)/y - 2*t^4.686*y | detail |