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 |
---|---|---|---|---|---|---|---|---|---|
79520 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.3773 | 2.4714 | 0.9619 | [X:[], M:[0.9411, 0.8707], q:[0.7177, 0.7177], qb:[], phi:[], S:[0.5647, 0.5295], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -10], [0, 12]], q:[[-1, 6], [1, 0]], qb:[], phi:[], S:[[0, -6], [0, 5]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{1}S_{2}$, ${ }q_{1}^{2}S_{2}$ | ${}$ | -2 | t^2.612 + t^2.823 + t^3.282 + t^4.306 + t^5.224 + t^5.435 + t^5.647 + 3*t^5.894 - 2*t^6. + t^6.353 + t^6.459 + 3*t^6.565 + t^6.67 + t^6.776 + t^6.918 + t^7.129 + t^7.483 + t^7.588 + t^7.836 + t^8.047 + t^8.259 + t^8.47 + 3*t^8.507 - 4*t^8.612 - 2*t^8.823 + t^8.966 - t^4.588/y - t^4.694/y - t^7.2/y - t^7.517/y - t^7.765/y - (2*t^7.871)/y - (2*t^7.976)/y - t^8.082/y + t^8.435/y - t^4.588*y - t^4.694*y - t^7.2*y - t^7.517*y - t^7.765*y - 2*t^7.871*y - 2*t^7.976*y - t^8.082*y + t^8.435*y | g2^12*t^2.612 + t^2.823/g2^10 + t^3.282/g2 + g2^6*t^4.306 + g2^24*t^5.224 + g2^2*t^5.435 + t^5.647/g2^20 + g1^2*g2^5*t^5.894 + g2^11*t^5.894 + (g2^17*t^5.894)/g1^2 - 2*t^6. + g2^20*t^6.353 + g2^9*t^6.459 + (3*t^6.565)/g2^2 + t^6.67/g2^13 + t^6.776/g2^24 + g2^18*t^6.918 + t^7.129/g2^4 + g2^16*t^7.483 + g2^5*t^7.588 + g2^36*t^7.836 + g2^14*t^8.047 + t^8.259/g2^8 + t^8.47/g2^30 + g1^2*g2^17*t^8.507 + g2^23*t^8.507 + (g2^29*t^8.507)/g1^2 - g1^2*g2^6*t^8.612 - 2*g2^12*t^8.612 - (g2^18*t^8.612)/g1^2 - (2*t^8.823)/g2^10 + g2^32*t^8.966 - (g2^5*t^4.588)/y - t^4.694/(g2^6*y) - (g2^17*t^7.2)/y - t^7.517/(g2^16*y) - (g2^15*t^7.765)/y - (2*g2^4*t^7.871)/y - (2*t^7.976)/(g2^7*y) - t^8.082/(g2^18*y) + (g2^2*t^8.435)/y - g2^5*t^4.588*y - (t^4.694*y)/g2^6 - g2^17*t^7.2*y - (t^7.517*y)/g2^16 - g2^15*t^7.765*y - 2*g2^4*t^7.871*y - (2*t^7.976*y)/g2^7 - (t^8.082*y)/g2^18 + g2^2*t^8.435*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 |
---|---|---|---|---|---|---|---|---|
79572 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ | 2.346 | 2.4294 | 0.9657 | [X:[], M:[0.8333, 1.0], q:[0.75, 0.75], qb:[], phi:[], S:[0.5, 0.5833], Sb:[], A:[], Ab:[]] | t^2.5 + t^3. + t^3.25 + t^4.5 + t^5. + t^5.5 - t^4.5/y - t^4.75/y - t^4.5*y - t^4.75*y | detail | {a: 7207/3072, c: 7463/3072, M1: 5/6, M2: 1, q1: 3/4, q2: 3/4, S1: 1/2, S2: 7/12} |
79571 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }q_{2}^{2}S_{2}$ | 2.3768 | 2.4703 | 0.9621 | [X:[], M:[0.9354, 0.8775], q:[0.7049, 0.7339], qb:[], phi:[], S:[0.5612, 0.5323], Sb:[], A:[], Ab:[]] | t^2.633 + t^2.806 + t^3.281 + t^4.316 + t^5.265 + t^5.439 + t^5.612 + t^5.826 + t^5.913 - t^6. - t^4.597/y - t^4.684/y - t^4.597*y - t^4.684*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 |
---|---|---|---|---|---|---|---|---|---|
79481 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ | 2.3667 | 2.4522 | 0.9651 | [X:[], M:[0.9223], q:[0.7233, 0.7233], qb:[], phi:[], S:[0.5534, 0.5388], Sb:[], A:[], Ab:[]] | t^2.767 + t^3.277 + t^3.32 + t^4.34 + t^5.534 + 2*t^5.956 - 2*t^6. - t^4.616/y - t^4.66/y - t^4.616*y - t^4.66*y | detail |