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 |
---|---|---|---|---|---|---|---|---|---|
3848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6925 | 0.8913 | 0.777 | [X:[1.618], M:[0.8541, 0.6738, 1.1459, 0.382, 0.8541, 0.7189, 0.7639, 0.7189], q:[0.4045, 0.7414], qb:[0.4496, 0.8766], phi:[0.382]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [2, -13], [0, -2], [-2, 4]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.021 + 2*t^2.157 + 2*t^2.292 + 2*t^2.562 + 2*t^3.573 + t^4.043 + 2*t^4.178 + 5*t^4.313 + 4*t^4.448 + 5*t^4.584 + 4*t^4.719 + 5*t^4.854 + 3*t^5.124 + 2*t^5.594 + 3*t^5.73 + 2*t^5.865 - 3*t^6. + t^6.064 + 2*t^6.135 + 2*t^6.199 - t^6.27 + 5*t^6.335 + 8*t^6.47 + 11*t^6.605 + 10*t^6.74 + 14*t^6.876 + 8*t^7.011 + 11*t^7.146 + 2*t^7.281 + 4*t^7.416 - 2*t^7.552 + 2*t^7.616 + 3*t^7.687 + 3*t^7.751 + 6*t^7.886 - t^8.021 + t^8.086 - 2*t^8.157 + 2*t^8.221 - 5*t^8.292 + 5*t^8.356 - 2*t^8.427 + 8*t^8.491 - 10*t^8.562 + 16*t^8.627 + 18*t^8.762 - 3*t^8.833 + 23*t^8.897 - t^4.146/y - t^6.167/y - (2*t^6.303)/y - (2*t^6.438)/y - t^6.708/y + (2*t^7.178)/y + (3*t^7.313)/y + (4*t^7.448)/y + (4*t^7.584)/y + (4*t^7.719)/y + (6*t^7.854)/y + (2*t^7.989)/y + (2*t^8.124)/y - t^8.189/y - (2*t^8.324)/y - (5*t^8.459)/y - (2*t^8.594)/y + (2*t^8.865)/y - t^4.146*y - t^6.167*y - 2*t^6.303*y - 2*t^6.438*y - t^6.708*y + 2*t^7.178*y + 3*t^7.313*y + 4*t^7.448*y + 4*t^7.584*y + 4*t^7.719*y + 6*t^7.854*y + 2*t^7.989*y + 2*t^8.124*y - t^8.189*y - 2*t^8.324*y - 5*t^8.459*y - 2*t^8.594*y + 2*t^8.865*y | t^2.021/g2^7 + (g1^2*t^2.157)/g2^13 + (g2^4*t^2.157)/g1^2 + (2*t^2.292)/g2^2 + 2*g2^3*t^2.562 + (g1^2*t^3.573)/g2^9 + (g2^8*t^3.573)/g1^2 + t^4.043/g2^14 + (g1^2*t^4.178)/g2^20 + t^4.178/(g1^2*g2^3) + (g1^4*t^4.313)/g2^26 + (3*t^4.313)/g2^9 + (g2^8*t^4.313)/g1^4 + (2*g1^2*t^4.448)/g2^15 + (2*g2^2*t^4.448)/g1^2 + (5*t^4.584)/g2^4 + (2*g1^2*t^4.719)/g2^10 + (2*g2^7*t^4.719)/g1^2 + 5*g2*t^4.854 + 3*g2^6*t^5.124 + (g1^2*t^5.594)/g2^16 + (g2*t^5.594)/g1^2 + (g1^4*t^5.73)/g2^22 + t^5.73/g2^5 + (g2^12*t^5.73)/g1^4 + (g1^2*t^5.865)/g2^11 + (g2^6*t^5.865)/g1^2 - 3*t^6. + t^6.064/g2^21 + (g1^2*t^6.135)/g2^6 + (g2^11*t^6.135)/g1^2 + (g1^2*t^6.199)/g2^27 + t^6.199/(g1^2*g2^10) - g2^5*t^6.27 + (g1^4*t^6.335)/g2^33 + (3*t^6.335)/g2^16 + (g2*t^6.335)/g1^4 + (g1^6*t^6.47)/g2^39 + (3*g1^2*t^6.47)/g2^22 + (3*t^6.47)/(g1^2*g2^5) + (g2^12*t^6.47)/g1^6 + (2*g1^4*t^6.605)/g2^28 + (7*t^6.605)/g2^11 + (2*g2^6*t^6.605)/g1^4 + (5*t^6.74)/g1^2 + (5*g1^2*t^6.74)/g2^17 + (2*g1^4*t^6.876)/g2^23 + (10*t^6.876)/g2^6 + (2*g2^11*t^6.876)/g1^4 + (4*g1^2*t^7.011)/g2^12 + (4*g2^5*t^7.011)/g1^2 + (g1^4*t^7.146)/g2^18 + (9*t^7.146)/g2 + (g2^16*t^7.146)/g1^4 + (g1^2*t^7.281)/g2^7 + (g2^10*t^7.281)/g1^2 + 4*g2^4*t^7.416 - (g1^2*t^7.552)/g2^2 - (g2^15*t^7.552)/g1^2 + (g1^2*t^7.616)/g2^23 + t^7.616/(g1^2*g2^6) + 3*g2^9*t^7.687 + (g1^4*t^7.751)/g2^29 + t^7.751/g2^12 + (g2^5*t^7.751)/g1^4 + (g1^6*t^7.886)/g2^35 + (2*g1^2*t^7.886)/g2^18 + (2*t^7.886)/(g1^2*g2) + (g2^16*t^7.886)/g1^6 + (g1^4*t^8.021)/g2^24 - (3*t^8.021)/g2^7 + (g2^10*t^8.021)/g1^4 + t^8.086/g2^28 - (g1^2*t^8.157)/g2^13 - (g2^4*t^8.157)/g1^2 + (g1^2*t^8.221)/g2^34 + t^8.221/(g1^2*g2^17) + (g1^4*t^8.292)/g2^19 - (7*t^8.292)/g2^2 + (g2^15*t^8.292)/g1^4 + (g1^4*t^8.356)/g2^40 + (3*t^8.356)/g2^23 + t^8.356/(g1^4*g2^6) - (g1^2*t^8.427)/g2^8 - (g2^9*t^8.427)/g1^2 + (g1^6*t^8.491)/g2^46 + (3*g1^2*t^8.491)/g2^29 + (3*t^8.491)/(g1^2*g2^12) + (g2^5*t^8.491)/g1^6 - 10*g2^3*t^8.562 + (g1^8*t^8.627)/g2^52 + (3*g1^4*t^8.627)/g2^35 + (8*t^8.627)/g2^18 + (3*t^8.627)/(g1^4*g2) + (g2^16*t^8.627)/g1^8 + (2*g1^6*t^8.762)/g2^41 + (7*g1^2*t^8.762)/g2^24 + (7*t^8.762)/(g1^2*g2^7) + (2*g2^10*t^8.762)/g1^6 - 3*g2^8*t^8.833 + (5*g1^4*t^8.897)/g2^30 + (13*t^8.897)/g2^13 + (5*g2^4*t^8.897)/g1^4 - t^4.146/(g2*y) - t^6.167/(g2^8*y) - (g1^2*t^6.303)/(g2^14*y) - (g2^3*t^6.303)/(g1^2*y) - (2*t^6.438)/(g2^3*y) - (g2^2*t^6.708)/y + (g1^2*t^7.178)/(g2^20*y) + t^7.178/(g1^2*g2^3*y) + (3*t^7.313)/(g2^9*y) + (2*g1^2*t^7.448)/(g2^15*y) + (2*g2^2*t^7.448)/(g1^2*y) + (4*t^7.584)/(g2^4*y) + (2*g1^2*t^7.719)/(g2^10*y) + (2*g2^7*t^7.719)/(g1^2*y) + (6*g2*t^7.854)/y + (g1^2*t^7.989)/(g2^5*y) + (g2^12*t^7.989)/(g1^2*y) + (2*g2^6*t^8.124)/y - t^8.189/(g2^15*y) - (g1^2*t^8.324)/(g2^21*y) - t^8.324/(g1^2*g2^4*y) - (g1^4*t^8.459)/(g2^27*y) - (3*t^8.459)/(g2^10*y) - (g2^7*t^8.459)/(g1^4*y) - (g1^2*t^8.594)/(g2^16*y) - (g2*t^8.594)/(g1^2*y) + (g1^4*t^8.73)/(g2^22*y) - (2*t^8.73)/(g2^5*y) + (g2^12*t^8.73)/(g1^4*y) + (g1^2*t^8.865)/(g2^11*y) + (g2^6*t^8.865)/(g1^2*y) - (t^4.146*y)/g2 - (t^6.167*y)/g2^8 - (g1^2*t^6.303*y)/g2^14 - (g2^3*t^6.303*y)/g1^2 - (2*t^6.438*y)/g2^3 - g2^2*t^6.708*y + (g1^2*t^7.178*y)/g2^20 + (t^7.178*y)/(g1^2*g2^3) + (3*t^7.313*y)/g2^9 + (2*g1^2*t^7.448*y)/g2^15 + (2*g2^2*t^7.448*y)/g1^2 + (4*t^7.584*y)/g2^4 + (2*g1^2*t^7.719*y)/g2^10 + (2*g2^7*t^7.719*y)/g1^2 + 6*g2*t^7.854*y + (g1^2*t^7.989*y)/g2^5 + (g2^12*t^7.989*y)/g1^2 + 2*g2^6*t^8.124*y - (t^8.189*y)/g2^15 - (g1^2*t^8.324*y)/g2^21 - (t^8.324*y)/(g1^2*g2^4) - (g1^4*t^8.459*y)/g2^27 - (3*t^8.459*y)/g2^10 - (g2^7*t^8.459*y)/g1^4 - (g1^2*t^8.594*y)/g2^16 - (g2*t^8.594*y)/g1^2 + (g1^4*t^8.73*y)/g2^22 - (2*t^8.73*y)/g2^5 + (g2^12*t^8.73*y)/g1^4 + (g1^2*t^8.865*y)/g2^11 + (g2^6*t^8.865*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 |
---|---|---|---|---|---|---|---|---|---|
3379 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6728 | 0.8544 | 0.7875 | [X:[1.6159], M:[0.8476, 0.6889, 1.1524, 0.3841, 0.8476, 0.7107, 0.7683], q:[0.395, 0.7573], qb:[0.4526, 0.8585], phi:[0.3841]] | t^2.067 + t^2.132 + 2*t^2.305 + 2*t^2.543 + t^3.523 + t^3.63 + t^3.761 + t^4.133 + t^4.199 + t^4.264 + 2*t^4.371 + 2*t^4.437 + 5*t^4.61 + 2*t^4.675 + 5*t^4.848 + 3*t^5.086 + t^5.589 + t^5.655 + t^5.696 + 2*t^5.827 + t^5.893 + t^5.935 - 3*t^6. - t^4.152/y - t^4.152*y | detail |