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 |
---|---|---|---|---|---|---|---|---|---|
55092 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6338 | 0.781 | 0.8115 | [M:[1.1617, 0.7426, 0.8383, 0.8064, 0.8383, 1.1936], q:[0.4032, 0.4351], qb:[0.8542, 0.7585], phi:[0.3872]] | [M:[[12], [18], [-12], [-2], [-12], [2]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | -1 | t^2.228 + t^2.323 + 2*t^2.515 + 2*t^3.581 + t^3.677 + t^3.772 + t^3.868 + t^4.456 + t^4.551 + t^4.647 + 2*t^4.743 + 3*t^4.838 + 3*t^5.03 + t^5.809 + t^5.904 - t^6. + 4*t^6.096 + 2*t^6.191 + 2*t^6.287 + 2*t^6.383 + t^6.683 + t^6.779 + t^6.875 + 2*t^6.97 + t^7.066 + 3*t^7.162 + t^7.257 + 4*t^7.353 + t^7.449 + 5*t^7.544 + t^7.64 + t^7.736 + t^8.036 - t^8.228 + t^8.419 - 3*t^8.515 + 5*t^8.61 + 3*t^8.706 + 3*t^8.802 + 3*t^8.898 + t^8.911 - t^4.162/y - t^6.39/y - t^6.485/y - t^6.677/y + t^7.551/y + t^7.647/y + (2*t^7.743)/y + (3*t^7.838)/y + t^7.934/y + t^8.03/y - t^8.617/y - t^8.713/y + t^8.809/y + (2*t^8.904)/y - t^4.162*y - t^6.39*y - t^6.485*y - t^6.677*y + t^7.551*y + t^7.647*y + 2*t^7.743*y + 3*t^7.838*y + t^7.934*y + t^8.03*y - t^8.617*y - t^8.713*y + t^8.809*y + 2*t^8.904*y | g1^18*t^2.228 + g1^8*t^2.323 + (2*t^2.515)/g1^12 + 2*g1^2*t^3.581 + t^3.677/g1^8 + t^3.772/g1^18 + t^3.868/g1^28 + g1^36*t^4.456 + g1^26*t^4.551 + g1^16*t^4.647 + 2*g1^6*t^4.743 + (3*t^4.838)/g1^4 + (3*t^5.03)/g1^24 + g1^20*t^5.809 + g1^10*t^5.904 - t^6. + (4*t^6.096)/g1^10 + (2*t^6.191)/g1^20 + (2*t^6.287)/g1^30 + (2*t^6.383)/g1^40 + g1^54*t^6.683 + g1^44*t^6.779 + g1^34*t^6.875 + 2*g1^24*t^6.97 + g1^14*t^7.066 + 3*g1^4*t^7.162 + t^7.257/g1^6 + (4*t^7.353)/g1^16 + t^7.449/g1^26 + (5*t^7.544)/g1^36 + t^7.64/g1^46 + t^7.736/g1^56 + g1^38*t^8.036 - g1^18*t^8.228 + t^8.419/g1^2 - (3*t^8.515)/g1^12 + (5*t^8.61)/g1^22 + (3*t^8.706)/g1^32 + (3*t^8.802)/g1^42 + (3*t^8.898)/g1^52 + g1^72*t^8.911 - (g1^4*t^4.162)/y - (g1^22*t^6.39)/y - (g1^12*t^6.485)/y - t^6.677/(g1^8*y) + (g1^26*t^7.551)/y + (g1^16*t^7.647)/y + (2*g1^6*t^7.743)/y + (3*t^7.838)/(g1^4*y) + t^7.934/(g1^14*y) + t^8.03/(g1^24*y) - (g1^40*t^8.617)/y - (g1^30*t^8.713)/y + (g1^20*t^8.809)/y + (2*g1^10*t^8.904)/y - g1^4*t^4.162*y - g1^22*t^6.39*y - g1^12*t^6.485*y - (t^6.677*y)/g1^8 + g1^26*t^7.551*y + g1^16*t^7.647*y + 2*g1^6*t^7.743*y + (3*t^7.838*y)/g1^4 + (t^7.934*y)/g1^14 + (t^8.03*y)/g1^24 - g1^40*t^8.617*y - g1^30*t^8.713*y + g1^20*t^8.809*y + 2*g1^10*t^8.904*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 |
---|---|---|---|---|---|---|---|---|
56743 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6518 | 0.8129 | 0.8018 | [M:[1.1554, 0.733, 0.8446, 0.8074, 0.8446, 1.1926, 0.7702], q:[0.4037, 0.4409], qb:[0.8633, 0.7516], phi:[0.3851]] | t^2.199 + 2*t^2.311 + 2*t^2.534 + 2*t^3.578 + t^3.801 + t^3.913 + t^4.398 + 2*t^4.51 + 3*t^4.621 + 2*t^4.733 + 5*t^4.845 + 3*t^5.068 + t^5.777 + 2*t^5.888 - 2*t^6. - t^4.155/y - t^4.155*y | detail | |
56740 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.616 | 0.7499 | 0.8215 | [M:[1.1685, 0.7528, 0.8315, 0.8052, 0.8315, 1.1948, 1.221], q:[0.4026, 0.4289], qb:[0.8446, 0.7659], phi:[0.3895]] | t^2.258 + 2*t^2.494 + 2*t^3.584 + 2*t^3.663 + t^3.742 + t^3.82 + t^4.517 + 2*t^4.753 + t^4.831 + 3*t^4.989 + t^5.843 - 2*t^6. - t^4.169/y - t^4.169*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 |
---|---|---|---|---|---|---|---|---|---|
47037 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6499 | 0.8094 | 0.803 | [M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]] | t^2.237 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + t^3.763 + t^3.854 + t^4.474 + t^4.564 + 2*t^4.655 + 3*t^4.746 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 - t^4.164/y - t^4.164*y | detail |