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 |
---|---|---|---|---|---|---|---|---|---|
4620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7226 | 0.905 | 0.7985 | [M:[1.0825, 0.7525, 0.8813, 0.9537, 1.0463, 0.7887, 0.9537, 0.9175], q:[0.5412, 0.3763], qb:[0.5775, 0.67], phi:[0.4588]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-11], [2]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | t^2.258 + t^2.366 + t^2.644 + 2*t^2.753 + 2*t^2.861 + t^3.634 + t^4.129 + t^4.237 + 2*t^4.515 + 2*t^4.624 + 2*t^4.732 + t^4.841 + t^4.901 + 4*t^5.01 + 4*t^5.119 + 2*t^5.227 + t^5.288 + 2*t^5.396 + 4*t^5.505 + 3*t^5.614 + 2*t^5.722 - 3*t^6. - t^6.109 + 2*t^6.386 + t^6.495 + 2*t^6.773 + 3*t^6.881 + 5*t^6.99 + 4*t^7.099 + 2*t^7.159 + t^7.207 + 6*t^7.268 + 6*t^7.376 + 6*t^7.485 + t^7.545 + 5*t^7.593 + 3*t^7.654 + 2*t^7.702 + 6*t^7.763 + 5*t^7.871 + t^7.932 + 3*t^7.98 + 2*t^8.04 + t^8.088 + 4*t^8.149 + 2*t^8.475 + 2*t^8.583 - 3*t^8.644 - 7*t^8.753 - 7*t^8.861 - t^8.97 - t^4.376/y - t^6.634/y - t^6.742/y - t^7.02/y - t^7.129/y - t^7.237/y + t^7.515/y + (2*t^7.624)/y + t^7.732/y + t^7.901/y + (4*t^8.01)/y + (5*t^8.119)/y + (2*t^8.227)/y + (2*t^8.396)/y + (3*t^8.505)/y + (4*t^8.614)/y + t^8.722/y - t^4.376*y - t^6.634*y - t^6.742*y - t^7.02*y - t^7.129*y - t^7.237*y + t^7.515*y + 2*t^7.624*y + t^7.732*y + t^7.901*y + 4*t^8.01*y + 5*t^8.119*y + 2*t^8.227*y + 2*t^8.396*y + 3*t^8.505*y + 4*t^8.614*y + t^8.722*y | g1^6*t^2.258 + t^2.366/g1^7 + g1^15*t^2.644 + 2*g1^2*t^2.753 + (2*t^2.861)/g1^11 + g1^7*t^3.634 + g1^3*t^4.129 + t^4.237/g1^10 + 2*g1^12*t^4.515 + (2*t^4.624)/g1 + (2*t^4.732)/g1^14 + t^4.841/g1^27 + g1^21*t^4.901 + 4*g1^8*t^5.01 + (4*t^5.119)/g1^5 + (2*t^5.227)/g1^18 + g1^30*t^5.288 + 2*g1^17*t^5.396 + 4*g1^4*t^5.505 + (3*t^5.614)/g1^9 + (2*t^5.722)/g1^22 - 3*t^6. - t^6.109/g1^13 + 2*g1^9*t^6.386 + t^6.495/g1^4 + 2*g1^18*t^6.773 + 3*g1^5*t^6.881 + (5*t^6.99)/g1^8 + (4*t^7.099)/g1^21 + 2*g1^27*t^7.159 + t^7.207/g1^34 + 6*g1^14*t^7.268 + 6*g1*t^7.376 + (6*t^7.485)/g1^12 + g1^36*t^7.545 + (5*t^7.593)/g1^25 + 3*g1^23*t^7.654 + (2*t^7.702)/g1^38 + 6*g1^10*t^7.763 + (5*t^7.871)/g1^3 + g1^45*t^7.932 + (3*t^7.98)/g1^16 + 2*g1^32*t^8.04 + t^8.088/g1^29 + 4*g1^19*t^8.149 + (2*t^8.475)/g1^20 + (2*t^8.583)/g1^33 - 3*g1^15*t^8.644 - 7*g1^2*t^8.753 - (7*t^8.861)/g1^11 - t^8.97/g1^24 - (g1*t^4.376)/y - (g1^7*t^6.634)/y - t^6.742/(g1^6*y) - (g1^16*t^7.02)/y - (g1^3*t^7.129)/y - t^7.237/(g1^10*y) + (g1^12*t^7.515)/y + (2*t^7.624)/(g1*y) + t^7.732/(g1^14*y) + (g1^21*t^7.901)/y + (4*g1^8*t^8.01)/y + (5*t^8.119)/(g1^5*y) + (2*t^8.227)/(g1^18*y) + (2*g1^17*t^8.396)/y + (3*g1^4*t^8.505)/y + (4*t^8.614)/(g1^9*y) + t^8.722/(g1^22*y) - g1*t^4.376*y - g1^7*t^6.634*y - (t^6.742*y)/g1^6 - g1^16*t^7.02*y - g1^3*t^7.129*y - (t^7.237*y)/g1^10 + g1^12*t^7.515*y + (2*t^7.624*y)/g1 + (t^7.732*y)/g1^14 + g1^21*t^7.901*y + 4*g1^8*t^8.01*y + (5*t^8.119*y)/g1^5 + (2*t^8.227*y)/g1^18 + 2*g1^17*t^8.396*y + 3*g1^4*t^8.505*y + (4*t^8.614*y)/g1^9 + (t^8.722*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
6181 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ + ${ }M_{6}M_{9}$ | 0.7056 | 0.8751 | 0.8064 | [M:[1.0843, 0.7472, 0.868, 0.9635, 1.0365, 0.7949, 0.9635, 0.9157, 1.2051], q:[0.5421, 0.3736], qb:[0.5899, 0.6629], phi:[0.4579]] | t^2.242 + t^2.604 + 2*t^2.747 + 2*t^2.89 + 2*t^3.615 + t^4.121 + t^4.264 + 2*t^4.483 + t^4.626 + t^4.77 + t^4.846 + t^4.913 + 3*t^4.989 + 2*t^5.132 + t^5.208 + 2*t^5.351 + 4*t^5.494 + 3*t^5.638 + 2*t^5.781 + t^5.857 - 4*t^6. - t^4.374/y - t^4.374*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 |
---|---|---|---|---|---|---|---|---|---|
2555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.7151 | 0.8924 | 0.8013 | [M:[1.0817, 0.7548, 0.887, 0.9495, 1.0505, 0.7861, 0.9495], q:[0.5409, 0.3774], qb:[0.5721, 0.6731], phi:[0.4591]] | t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. - t^4.377/y - t^4.377*y | detail |