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 |
---|---|---|---|---|---|---|---|---|---|
79499 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4056 | 2.5313 | 0.9504 | [X:[], M:[0.8878, 0.6733], q:[0.7178, 0.6088], qb:[], phi:[], S:[0.5478, 0.5644], Sb:[], A:[], Ab:[]] | [X:[], M:[[-1, -2], [6, 12]], q:[[0, -1], [-6, -11]], qb:[], phi:[], S:[[1, 0], [0, 2]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}S_{1}^{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{2}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{1}S_{1}^{2}$ | ${}$ | -2 | t^2.02 + t^2.663 + t^3.287 + t^3.386 + t^4.04 + t^4.683 + t^5.297 + t^5.307 + t^5.327 + t^5.346 + t^5.406 + t^5.624 + t^5.95 - 2*t^6. + t^6.06 - t^6.327 + 2*t^6.574 + t^6.624 + 3*t^6.673 + t^6.703 + t^6.723 + 2*t^6.773 + t^6.99 + t^7.267 + 2*t^7.317 + t^7.327 + t^7.347 + t^7.366 + t^7.426 - t^7.693 + t^7.99 - 2*t^8.02 + t^8.08 - t^8.336 + 2*t^8.584 + 2*t^8.594 + 3*t^8.633 + t^8.644 - 2*t^8.663 + 3*t^8.683 + 3*t^8.693 + t^8.723 + 2*t^8.732 + t^8.743 + 2*t^8.793 + 2*t^8.911 + 2*t^8.96 - t^8.99 - t^4.644/y - t^4.693/y - t^6.664/y - t^6.713/y + t^7.683/y - (2*t^7.931)/y - (2*t^7.98)/y - (2*t^8.03)/y - (2*t^8.079)/y + t^8.307/y + t^8.406/y - t^8.684/y - t^8.733/y + t^8.95/y - t^4.644*y - t^4.693*y - t^6.664*y - t^6.713*y + t^7.683*y - 2*t^7.931*y - 2*t^7.98*y - 2*t^8.03*y - 2*t^8.079*y + t^8.307*y + t^8.406*y - t^8.684*y - t^8.733*y + t^8.95*y | g1^6*g2^12*t^2.02 + t^2.663/(g1*g2^2) + g1^2*t^3.287 + g2^4*t^3.386 + g1^12*g2^24*t^4.04 + g1^5*g2^10*t^4.683 + t^5.297/(g1^11*g2^22) + g1^8*g2^12*t^5.307 + t^5.327/(g1^2*g2^4) + t^5.346/(g1^12*g2^20) + g1^6*g2^16*t^5.406 + t^5.624/(g1^5*g2^12) + (g1*t^5.95)/g2^2 - 2*t^6. + g1^18*g2^36*t^6.06 - g1^6*g2^10*t^6.327 + 2*g1^4*t^6.574 + g1^3*g2^2*t^6.624 + 3*g1^2*g2^4*t^6.673 + g1^11*g2^22*t^6.703 + g1*g2^6*t^6.723 + 2*g2^8*t^6.773 + t^6.99/(g1^11*g2^20) + t^7.267/(g1^4*g2^12) + (2*t^7.317)/(g1^5*g2^10) + g1^14*g2^24*t^7.327 + g1^4*g2^8*t^7.347 + t^7.366/(g1^6*g2^8) + g1^12*g2^28*t^7.426 - g2^2*t^7.693 + t^7.99/(g1^3*g2^6) - 2*g1^6*g2^12*t^8.02 + g1^24*g2^48*t^8.08 - t^8.336/(g1^7*g2^12) + (2*t^8.584)/(g1^9*g2^22) + 2*g1^10*g2^12*t^8.594 + (3*t^8.633)/(g1^10*g2^20) + g1^9*g2^14*t^8.644 - (2*t^8.663)/(g1*g2^2) + (3*t^8.683)/(g1^11*g2^18) + 3*g1^8*g2^16*t^8.693 + g1^17*g2^34*t^8.723 + (2*t^8.732)/(g1^12*g2^16) + g1^7*g2^18*t^8.743 + 2*g1^6*g2^20*t^8.793 + (2*t^8.911)/(g1^3*g2^12) + (2*t^8.96)/(g1^4*g2^10) - g1^5*g2^8*t^8.99 - (g1*t^4.644)/y - (g2^2*t^4.693)/y - (g1^7*g2^12*t^6.664)/y - (g1^6*g2^14*t^6.713)/y + (g1^5*g2^10*t^7.683)/y - (2*g1^3*t^7.931)/y - (2*g1^2*g2^2*t^7.98)/y - (2*g1*g2^4*t^8.03)/y - (2*g2^6*t^8.079)/y + (g1^8*g2^12*t^8.307)/y + (g1^6*g2^16*t^8.406)/y - (g1^13*g2^24*t^8.684)/y - (g1^12*g2^26*t^8.733)/y + (g1*t^8.95)/(g2^2*y) - g1*t^4.644*y - g2^2*t^4.693*y - g1^7*g2^12*t^6.664*y - g1^6*g2^14*t^6.713*y + g1^5*g2^10*t^7.683*y - 2*g1^3*t^7.931*y - 2*g1^2*g2^2*t^7.98*y - 2*g1*g2^4*t^8.03*y - 2*g2^6*t^8.079*y + g1^8*g2^12*t^8.307*y + g1^6*g2^16*t^8.406*y - g1^13*g2^24*t^8.684*y - g1^12*g2^26*t^8.733*y + (g1*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
79586 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.4051 | 2.5304 | 0.9505 | [X:[], M:[0.8883, 0.67], q:[0.7221, 0.6079], qb:[], phi:[], S:[0.5558, 0.5558], Sb:[], A:[], Ab:[]] | t^2.01 + t^2.665 + 2*t^3.335 + t^4.02 + t^4.675 + 2*t^5.315 + t^5.33 + 2*t^5.345 + t^5.657 - t^6. - (2*t^4.668)/y - 2*t^4.668*y | detail | |
79580 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.358 | 2.4955 | 0.9449 | [X:[], M:[0.8666, 0.8003], q:[0.7332, 0.4665], qb:[], phi:[], S:[0.5999, 0.5335], Sb:[], A:[], Ab:[]] | t^2.401 + t^2.6 + t^3.201 + t^3.599 + t^4.399 + t^4.599 + t^4.802 + t^5.001 + t^5.2 + t^5.399 + t^5.602 - t^6. - t^4.601/y - t^4.8/y - t^4.601*y - t^4.8*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 |
---|---|---|---|---|---|---|---|---|---|
79476 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ | 2.3848 | 2.4903 | 0.9577 | [X:[], M:[0.8875], q:[0.7177, 0.6074], qb:[], phi:[], S:[0.5479, 0.5646], Sb:[], A:[], Ab:[]] | t^2.663 + t^3.287 + t^3.388 + t^3.975 + t^5.288 + t^5.325 + t^5.339 + t^5.619 + t^5.95 - 2*t^6. - t^4.644/y - t^4.694/y - t^4.644*y - t^4.694*y | detail |