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 |
---|---|---|---|---|---|---|---|---|---|
3796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6385 | 0.8413 | 0.759 | [M:[0.9536, 1.1393, 0.7678, 0.709, 0.8607, 0.8019, 1.1393], q:[0.7384, 0.308], qb:[0.4009, 0.4598], phi:[0.5232]] | [M:[[4], [-12], [20], [-18], [12], [-26], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | 2*t^2.127 + 2*t^2.303 + t^2.406 + t^2.861 + t^3.139 + 3*t^3.418 + t^3.975 + t^4.152 + 3*t^4.254 + t^4.328 + 4*t^4.43 + 2*t^4.532 + 3*t^4.607 + 2*t^4.709 + t^4.811 + 2*t^4.988 + 2*t^5.164 + 3*t^5.266 + 2*t^5.443 + 6*t^5.545 + 5*t^5.721 + 2*t^5.824 - 3*t^6. + 2*t^6.102 - t^6.176 + 4*t^6.279 + 5*t^6.381 + 2*t^6.455 + 8*t^6.557 + 2*t^6.632 + 3*t^6.659 + 5*t^6.734 + 8*t^6.836 + 4*t^6.91 + 2*t^6.938 + t^7.012 + 4*t^7.115 + t^7.217 + t^7.291 + 6*t^7.393 + 3*t^7.468 + 4*t^7.57 + 10*t^7.672 + 3*t^7.746 + 7*t^7.848 + 5*t^7.95 + 4*t^8.025 - 2*t^8.127 + 5*t^8.229 - 7*t^8.303 + 3*t^8.406 - t^8.48 + 7*t^8.508 + 4*t^8.582 + t^8.656 + 12*t^8.684 + 3*t^8.759 + 5*t^8.786 + 5*t^8.861 + 3*t^8.935 + 13*t^8.963 - t^4.57/y - t^6.697/y - t^6.873/y - t^6.975/y + t^7.152/y + t^7.254/y + (4*t^7.43)/y + (2*t^7.532)/y + t^7.607/y + (2*t^7.709)/y + t^7.988/y + (3*t^8.164)/y + (4*t^8.266)/y + (3*t^8.443)/y + (7*t^8.545)/y + (6*t^8.721)/y + (2*t^8.824)/y - t^4.57*y - t^6.697*y - t^6.873*y - t^6.975*y + t^7.152*y + t^7.254*y + 4*t^7.43*y + 2*t^7.532*y + t^7.607*y + 2*t^7.709*y + t^7.988*y + 3*t^8.164*y + 4*t^8.266*y + 3*t^8.443*y + 7*t^8.545*y + 6*t^8.721*y + 2*t^8.824*y | (2*t^2.127)/g1^18 + 2*g1^20*t^2.303 + t^2.406/g1^26 + g1^4*t^2.861 + t^3.139/g1^4 + (3*t^3.418)/g1^12 + t^3.975/g1^28 + g1^10*t^4.152 + (3*t^4.254)/g1^36 + g1^48*t^4.328 + 4*g1^2*t^4.43 + (2*t^4.532)/g1^44 + 3*g1^40*t^4.607 + (2*t^4.709)/g1^6 + t^4.811/g1^52 + (2*t^4.988)/g1^14 + 2*g1^24*t^5.164 + (3*t^5.266)/g1^22 + 2*g1^16*t^5.443 + (6*t^5.545)/g1^30 + 5*g1^8*t^5.721 + (2*t^5.824)/g1^38 - 3*t^6. + (2*t^6.102)/g1^46 - g1^38*t^6.176 + (4*t^6.279)/g1^8 + (5*t^6.381)/g1^54 + 2*g1^30*t^6.455 + (8*t^6.557)/g1^16 + 2*g1^68*t^6.632 + (3*t^6.659)/g1^62 + 5*g1^22*t^6.734 + (8*t^6.836)/g1^24 + 4*g1^60*t^6.91 + (2*t^6.938)/g1^70 + g1^14*t^7.012 + (4*t^7.115)/g1^32 + t^7.217/g1^78 + g1^6*t^7.291 + (6*t^7.393)/g1^40 + 3*g1^44*t^7.468 + (4*t^7.57)/g1^2 + (10*t^7.672)/g1^48 + 3*g1^36*t^7.746 + (7*t^7.848)/g1^10 + (5*t^7.95)/g1^56 + 4*g1^28*t^8.025 - (2*t^8.127)/g1^18 + (5*t^8.229)/g1^64 - 7*g1^20*t^8.303 + (3*t^8.406)/g1^26 - g1^58*t^8.48 + (7*t^8.508)/g1^72 + 4*g1^12*t^8.582 + g1^96*t^8.656 + (12*t^8.684)/g1^34 + 3*g1^50*t^8.759 + (5*t^8.786)/g1^80 + 5*g1^4*t^8.861 + 3*g1^88*t^8.935 + (13*t^8.963)/g1^42 - t^4.57/(g1^2*y) - t^6.697/(g1^20*y) - (g1^18*t^6.873)/y - t^6.975/(g1^28*y) + (g1^10*t^7.152)/y + t^7.254/(g1^36*y) + (4*g1^2*t^7.43)/y + (2*t^7.532)/(g1^44*y) + (g1^40*t^7.607)/y + (2*t^7.709)/(g1^6*y) + t^7.988/(g1^14*y) + (3*g1^24*t^8.164)/y + (4*t^8.266)/(g1^22*y) + (3*g1^16*t^8.443)/y + (7*t^8.545)/(g1^30*y) + (6*g1^8*t^8.721)/y + (2*t^8.824)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.697*y)/g1^20 - g1^18*t^6.873*y - (t^6.975*y)/g1^28 + g1^10*t^7.152*y + (t^7.254*y)/g1^36 + 4*g1^2*t^7.43*y + (2*t^7.532*y)/g1^44 + g1^40*t^7.607*y + (2*t^7.709*y)/g1^6 + (t^7.988*y)/g1^14 + 3*g1^24*t^8.164*y + (4*t^8.266*y)/g1^22 + 3*g1^16*t^8.443*y + (7*t^8.545*y)/g1^30 + 6*g1^8*t^8.721*y + (2*t^8.824*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
5396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6342 | 0.8344 | 0.7601 | [M:[0.9543, 1.1372, 0.7714, 0.7058, 0.8628, 0.7972, 1.1372, 1.0457], q:[0.7386, 0.3072], qb:[0.3986, 0.4642], phi:[0.5229]] | 2*t^2.117 + 2*t^2.314 + t^2.392 + 2*t^3.137 + 3*t^3.412 + t^3.96 + t^4.157 + 3*t^4.235 + t^4.354 + 4*t^4.431 + 2*t^4.509 + 3*t^4.628 + 2*t^4.706 + t^4.783 + 4*t^5.254 + 4*t^5.451 + 7*t^5.529 + 4*t^5.726 + 2*t^5.803 - 4*t^6. - t^4.569/y - t^4.569*y | detail | |
5384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6593 | 0.8825 | 0.7472 | [M:[0.9534, 1.1399, 0.7668, 0.7099, 0.8601, 0.8032, 1.1399, 0.6735], q:[0.7383, 0.3083], qb:[0.4016, 0.4585], phi:[0.5233]] | t^2.02 + 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^4.041 + 3*t^4.15 + 3*t^4.259 + 3*t^4.321 + 5*t^4.43 + 2*t^4.539 + 3*t^4.601 + 2*t^4.71 + t^4.819 + t^4.881 + 2*t^4.99 + 3*t^5.16 + 3*t^5.27 + 5*t^5.44 + 6*t^5.55 + 5*t^5.72 + 2*t^5.829 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
3345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.651 | 0.8622 | 0.755 | [M:[0.9518, 1.1446, 0.759, 0.7169, 0.8554, 0.8134], q:[0.7379, 0.3103], qb:[0.4067, 0.4487], phi:[0.5241]] | 2*t^2.151 + 2*t^2.277 + t^2.44 + t^2.566 + t^2.855 + t^3.145 + 2*t^3.434 + t^4.012 + t^4.138 + t^4.264 + 3*t^4.302 + 4*t^4.428 + 3*t^4.554 + 2*t^4.591 + 4*t^4.717 + 2*t^4.843 + t^4.88 + 3*t^5.006 + 3*t^5.132 + 3*t^5.295 + 3*t^5.421 + 4*t^5.585 + 4*t^5.711 + t^5.874 - t^6. - t^4.572/y - t^4.572*y | detail |