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 |
---|---|---|---|---|---|---|---|---|---|
3185 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6917 | 0.8884 | 0.7785 | [X:[1.6183], M:[0.7067, 0.8201, 0.3817, 1.1451, 0.8549, 0.672, 0.7982, 0.7634], q:[0.8832, 0.4101], qb:[0.7351, 0.4448], phi:[0.3817]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [0, -7], [2, -5], [0, -2]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.016 + t^2.12 + 2*t^2.29 + t^2.395 + t^2.46 + t^2.565 + t^3.435 + t^3.814 + t^4.032 + t^4.136 + t^4.24 + 2*t^4.306 + 3*t^4.41 + t^4.476 + t^4.515 + 5*t^4.581 + 3*t^4.685 + 2*t^4.751 + t^4.789 + 4*t^4.855 + t^4.921 + t^4.959 + t^5.025 + t^5.129 + t^5.451 + t^5.556 + t^5.726 + t^5.83 + t^5.934 - 2*t^6. + t^6.048 + t^6.104 + t^6.152 - t^6.17 + t^6.209 + t^6.256 + 2*t^6.322 + t^6.361 + t^6.379 + 3*t^6.426 + t^6.492 + 3*t^6.531 + 5*t^6.596 + t^6.635 + 7*t^6.701 + 2*t^6.767 + 4*t^6.805 + 10*t^6.871 + t^6.909 + t^6.937 + 7*t^6.975 + 4*t^7.041 + 3*t^7.079 + 6*t^7.145 + t^7.184 + 2*t^7.211 + 4*t^7.249 + 2*t^7.315 + t^7.354 + t^7.381 + t^7.467 + t^7.485 + t^7.572 + t^7.628 + t^7.676 + t^7.742 + 2*t^7.846 + t^7.95 - t^8.016 + t^8.054 + t^8.064 - 2*t^8.12 + t^8.168 - 2*t^8.186 + 2*t^8.224 + t^8.272 - 6*t^8.29 + t^8.329 + 2*t^8.338 + t^8.377 - 2*t^8.395 + 3*t^8.442 - 6*t^8.46 + t^8.481 + 2*t^8.499 + t^8.508 + 3*t^8.547 - 6*t^8.565 + t^8.603 + 5*t^8.612 - t^8.63 + 3*t^8.651 + t^8.669 + 7*t^8.717 - 2*t^8.735 + t^8.755 + t^8.773 + 2*t^8.782 + 8*t^8.821 - t^8.839 + 10*t^8.887 + 4*t^8.925 + t^8.943 + t^8.953 + 13*t^8.991 - t^4.145/y - t^6.161/y - t^6.265/y - (2*t^6.435)/y - t^6.54/y - t^6.605/y + t^7.136/y + (2*t^7.306)/y + (3*t^7.41)/y + t^7.476/y + t^7.515/y + (3*t^7.581)/y + (4*t^7.685)/y + (3*t^7.751)/y + (5*t^7.855)/y + t^7.959/y + (2*t^8.025)/y + t^8.129/y - t^8.177/y - t^8.281/y - t^8.386/y - t^8.451/y - (2*t^8.556)/y - t^8.621/y - t^8.66/y - (2*t^8.726)/y - t^8.896/y - t^4.145*y - t^6.161*y - t^6.265*y - 2*t^6.435*y - t^6.54*y - t^6.605*y + t^7.136*y + 2*t^7.306*y + 3*t^7.41*y + t^7.476*y + t^7.515*y + 3*t^7.581*y + 4*t^7.685*y + 3*t^7.751*y + 5*t^7.855*y + t^7.959*y + 2*t^8.025*y + t^8.129*y - t^8.177*y - t^8.281*y - t^8.386*y - t^8.451*y - 2*t^8.556*y - t^8.621*y - t^8.66*y - 2*t^8.726*y - t^8.896*y | t^2.016/g2^7 + (g1^2*t^2.12)/g2^10 + (2*t^2.29)/g2^2 + (g1^2*t^2.395)/g2^5 + (g2^6*t^2.46)/g1^2 + g2^3*t^2.565 + t^3.435/g2^3 + (g1^2*t^3.814)/g2 + t^4.032/g2^14 + (g1^2*t^4.136)/g2^17 + (g1^4*t^4.24)/g2^20 + (2*t^4.306)/g2^9 + (3*g1^2*t^4.41)/g2^12 + t^4.476/(g1^2*g2) + (g1^4*t^4.515)/g2^15 + (5*t^4.581)/g2^4 + (3*g1^2*t^4.685)/g2^7 + (2*g2^4*t^4.751)/g1^2 + (g1^4*t^4.789)/g2^10 + 4*g2*t^4.855 + (g2^12*t^4.921)/g1^4 + (g1^2*t^4.959)/g2^2 + (g2^9*t^5.025)/g1^2 + g2^6*t^5.129 + t^5.451/g2^10 + (g1^2*t^5.556)/g2^13 + t^5.726/g2^5 + (g1^2*t^5.83)/g2^8 + (g1^4*t^5.934)/g2^11 - 2*t^6. + t^6.048/g2^21 + (g1^2*t^6.104)/g2^3 + (g1^2*t^6.152)/g2^24 - (g2^8*t^6.17)/g1^2 + (g1^4*t^6.209)/g2^6 + (g1^4*t^6.256)/g2^27 + (2*t^6.322)/g2^16 + (g1^6*t^6.361)/g2^30 + g1^2*g2^2*t^6.379 + (3*g1^2*t^6.426)/g2^19 + t^6.492/(g1^2*g2^8) + (3*g1^4*t^6.531)/g2^22 + (5*t^6.596)/g2^11 + (g1^6*t^6.635)/g2^25 + (7*g1^2*t^6.701)/g2^14 + (2*t^6.767)/(g1^2*g2^3) + (4*g1^4*t^6.805)/g2^17 + (10*t^6.871)/g2^6 + (g1^6*t^6.909)/g2^20 + (g2^5*t^6.937)/g1^4 + (7*g1^2*t^6.975)/g2^9 + (4*g2^2*t^7.041)/g1^2 + (3*g1^4*t^7.079)/g2^12 + (6*t^7.145)/g2 + (g1^6*t^7.184)/g2^15 + (2*g2^10*t^7.211)/g1^4 + (4*g1^2*t^7.249)/g2^4 + (2*g2^7*t^7.315)/g1^2 + (g1^4*t^7.354)/g2^7 + (g2^18*t^7.381)/g1^6 + t^7.467/g2^17 + (g2^15*t^7.485)/g1^4 + (g1^2*t^7.572)/g2^20 + (g1^4*t^7.628)/g2^2 + (g1^4*t^7.676)/g2^23 + t^7.742/g2^12 + (2*g1^2*t^7.846)/g2^15 + (g1^4*t^7.95)/g2^18 - t^8.016/g2^7 + (g1^6*t^8.054)/g2^21 + t^8.064/g2^28 - (2*g1^2*t^8.12)/g2^10 + (g1^2*t^8.168)/g2^31 - (2*g2*t^8.186)/g1^2 + (2*g1^4*t^8.224)/g2^13 + (g1^4*t^8.272)/g2^34 - (6*t^8.29)/g2^2 + (g1^6*t^8.329)/g2^16 + (2*t^8.338)/g2^23 + (g1^6*t^8.377)/g2^37 - (2*g1^2*t^8.395)/g2^5 + (3*g1^2*t^8.442)/g2^26 - (6*g2^6*t^8.46)/g1^2 + (g1^8*t^8.481)/g2^40 + (2*g1^4*t^8.499)/g2^8 + t^8.508/(g1^2*g2^15) + (3*g1^4*t^8.547)/g2^29 - 6*g2^3*t^8.565 + (g1^6*t^8.603)/g2^11 + (5*t^8.612)/g2^18 - (g2^14*t^8.63)/g1^4 + (3*g1^6*t^8.651)/g2^32 + g1^2*t^8.669 + (7*g1^2*t^8.717)/g2^21 - (2*g2^11*t^8.735)/g1^2 + (g1^8*t^8.755)/g2^35 + (g1^4*t^8.773)/g2^3 + (2*t^8.782)/(g1^2*g2^10) + (8*g1^4*t^8.821)/g2^24 - g2^8*t^8.839 + (10*t^8.887)/g2^13 + (4*g1^6*t^8.925)/g2^27 + g1^2*g2^5*t^8.943 + t^8.953/(g1^4*g2^2) + (13*g1^2*t^8.991)/g2^16 - t^4.145/(g2*y) - t^6.161/(g2^8*y) - (g1^2*t^6.265)/(g2^11*y) - (2*t^6.435)/(g2^3*y) - (g1^2*t^6.54)/(g2^6*y) - (g2^5*t^6.605)/(g1^2*y) + (g1^2*t^7.136)/(g2^17*y) + (2*t^7.306)/(g2^9*y) + (3*g1^2*t^7.41)/(g2^12*y) + t^7.476/(g1^2*g2*y) + (g1^4*t^7.515)/(g2^15*y) + (3*t^7.581)/(g2^4*y) + (4*g1^2*t^7.685)/(g2^7*y) + (3*g2^4*t^7.751)/(g1^2*y) + (5*g2*t^7.855)/y + (g1^2*t^7.959)/(g2^2*y) + (2*g2^9*t^8.025)/(g1^2*y) + (g2^6*t^8.129)/y - t^8.177/(g2^15*y) - (g1^2*t^8.281)/(g2^18*y) - (g1^4*t^8.386)/(g2^21*y) - t^8.451/(g2^10*y) - (2*g1^2*t^8.556)/(g2^13*y) - t^8.621/(g1^2*g2^2*y) - (g1^4*t^8.66)/(g2^16*y) - (2*t^8.726)/(g2^5*y) - (g2^3*t^8.896)/(g1^2*y) - (t^4.145*y)/g2 - (t^6.161*y)/g2^8 - (g1^2*t^6.265*y)/g2^11 - (2*t^6.435*y)/g2^3 - (g1^2*t^6.54*y)/g2^6 - (g2^5*t^6.605*y)/g1^2 + (g1^2*t^7.136*y)/g2^17 + (2*t^7.306*y)/g2^9 + (3*g1^2*t^7.41*y)/g2^12 + (t^7.476*y)/(g1^2*g2) + (g1^4*t^7.515*y)/g2^15 + (3*t^7.581*y)/g2^4 + (4*g1^2*t^7.685*y)/g2^7 + (3*g2^4*t^7.751*y)/g1^2 + 5*g2*t^7.855*y + (g1^2*t^7.959*y)/g2^2 + (2*g2^9*t^8.025*y)/g1^2 + g2^6*t^8.129*y - (t^8.177*y)/g2^15 - (g1^2*t^8.281*y)/g2^18 - (g1^4*t^8.386*y)/g2^21 - (t^8.451*y)/g2^10 - (2*g1^2*t^8.556*y)/g2^13 - (t^8.621*y)/(g1^2*g2^2) - (g1^4*t^8.66*y)/g2^16 - (2*t^8.726*y)/g2^5 - (g2^3*t^8.896*y)/g1^2 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6733 | 0.8548 | 0.7876 | [X:[1.6169], M:[0.7116, 0.8206, 0.3831, 1.1492, 0.8508, 0.6814, 0.7963], q:[0.8781, 0.4103], qb:[0.7389, 0.4405], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*y | detail |