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 |
---|---|---|---|---|---|---|---|---|---|
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:[]] | [X:[], M:[[0, -1, -1], [0, 6, 6]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{1}^{2}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -5 | 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. + t^6.678 + 9*t^6.742 + t^7.081 + 6*t^7.145 + t^7.484 - 2*t^7.686 + 2*t^7.823 + t^7.887 - 2*t^8.226 - 4*t^8.629 + 32*t^8.83 + t^8.905 + 9*t^8.968 - (2*t^4.686)/y - (2*t^6.912)/y + t^7.855/y - (8*t^8.057)/y + (2*t^8.597)/y - 2*t^4.686*y - 2*t^6.912*y + t^7.855*y - 8*t^8.057*y + 2*t^8.597*y | g2^6*g3^6*t^2.226 + t^2.629/(g2*g3) + g2^2*t^3.371 + g3^2*t^3.371 + g2^12*g3^12*t^4.452 + g2^5*g3^5*t^4.855 + t^5.258/(g2^2*g3^2) + g1^2*g2*t^5.459 + t^5.459/(g1^2*g2^11*g3^12) + t^5.459/(g1^2*g2^12*g3^11) + t^5.459/(g2^5*g3^6) + t^5.459/(g2^6*g3^5) + g1^2*g3*t^5.459 + g2^8*g3^6*t^5.597 + g2^6*g3^8*t^5.597 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. + g2^18*g3^18*t^6.678 + 2*g2^4*t^6.742 + g2^3*g3*t^6.742 + 3*g2^2*g3^2*t^6.742 + g2*g3^3*t^6.742 + 2*g3^4*t^6.742 + g2^11*g3^11*t^7.081 + t^7.145/(g1^2*g2^11*g3^11) + t^7.145/(g2^4*g3^6) + (2*t^7.145)/(g2^5*g3^5) + t^7.145/(g2^6*g3^4) + g1^2*g2*g3*t^7.145 + g2^4*g3^4*t^7.484 - g2*t^7.686 - g3*t^7.686 + g2^14*g3^12*t^7.823 + g2^12*g3^14*t^7.823 + t^7.887/(g2^3*g3^3) - 2*g2^6*g3^6*t^8.226 - t^8.629/(g1^2*g2^7*g3^7) - (2*t^8.629)/(g2*g3) - g1^2*g2^5*g3^5*t^8.629 + 2*g1^2*g2^3*t^8.83 + (2*t^8.83)/(g1^2*g2^9*g3^12) + (3*t^8.83)/(g1^2*g2^10*g3^11) + (3*t^8.83)/(g1^2*g2^11*g3^10) + (2*t^8.83)/(g1^2*g2^12*g3^9) + (2*t^8.83)/(g2^3*g3^6) + (4*t^8.83)/(g2^4*g3^5) + (4*t^8.83)/(g2^5*g3^4) + (2*t^8.83)/(g2^6*g3^3) + 3*g1^2*g2^2*g3*t^8.83 + 3*g1^2*g2*g3^2*t^8.83 + 2*g1^2*g3^3*t^8.83 + g2^24*g3^24*t^8.905 + 2*g2^10*g3^6*t^8.968 + g2^9*g3^7*t^8.968 + 3*g2^8*g3^8*t^8.968 + g2^7*g3^9*t^8.968 + 2*g2^6*g3^10*t^8.968 - (g2*t^4.686)/y - (g3*t^4.686)/y - (g2^7*g3^6*t^6.912)/y - (g2^6*g3^7*t^6.912)/y + (g2^5*g3^5*t^7.855)/y - (2*g2^3*t^8.057)/y - (2*g2^2*g3*t^8.057)/y - (2*g2*g3^2*t^8.057)/y - (2*g3^3*t^8.057)/y + (g2^8*g3^6*t^8.597)/y + (g2^6*g3^8*t^8.597)/y - g2*t^4.686*y - g3*t^4.686*y - g2^7*g3^6*t^6.912*y - g2^6*g3^7*t^6.912*y + g2^5*g3^5*t^7.855*y - 2*g2^3*t^8.057*y - 2*g2^2*g3*t^8.057*y - 2*g2*g3^2*t^8.057*y - 2*g3^3*t^8.057*y + g2^8*g3^6*t^8.597*y + g2^6*g3^8*t^8.597*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 |
---|---|---|---|---|---|---|---|---|
79510 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ | 2.229 | 2.404 | 0.9272 | [X:[], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]] | t^2.4 + 3*t^3.6 + 6*t^4.2 + t^4.8 + 2*t^6. - (2*t^4.8)/y - 2*t^4.8*y | detail | {a: 2229/1000, c: 601/250, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5} |
79522 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 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:[]] | 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. - t^4.653/y - t^4.76/y - t^4.653*y - t^4.76*y | detail | |
79511 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}^{2}$ | 2.3574 | 2.5137 | 0.9378 | [X:[], M:[0.8333, 1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | t^2.5 + t^3. + 2*t^3.5 + 6*t^4.75 + t^5. + t^5.5 - 4*t^6. - (2*t^4.75)/y - 2*t^4.75*y | detail | {a: 1207/512, c: 1287/512, M1: 5/6, M2: 1, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |
79494 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4291 | 2.5709 | 0.9448 | [X:[], M:[0.8751, 0.7492, 0.8546], q:[0.6254, 0.6254], qb:[], phi:[], S:[0.5727, 0.5522], Sb:[], A:[], Ab:[]] | t^2.248 + t^2.564 + t^2.625 + t^3.313 + t^4.495 + t^4.811 + t^4.873 + t^5.127 + t^5.189 + t^5.251 + 3*t^5.409 + 3*t^5.471 + t^5.56 + t^5.877 - 5*t^6. - t^4.656/y - t^4.718/y - t^4.656*y - t^4.718*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 |
---|---|---|---|---|---|---|---|---|---|
79473 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ | 2.3983 | 2.5185 | 0.9523 | [X:[], M:[0.8718], q:[0.6154, 0.6154], qb:[], phi:[], S:[0.5641, 0.5641], Sb:[], A:[], Ab:[]] | t^2.615 + 2*t^3.385 + t^3.692 + t^5.231 + 6*t^5.385 - 5*t^6. - (2*t^4.692)/y - 2*t^4.692*y | detail | {a: 6485/2704, c: 3405/1352, M1: 34/39, q1: 8/13, q2: 8/13, S1: 22/39, S2: 22/39} |