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 |
---|---|---|---|---|---|---|---|---|---|
4770 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6993 | 0.8844 | 0.7907 | [M:[1.0246, 0.775, 0.9622, 0.8374, 1.1626, 0.775, 1.0378, 0.7127], q:[0.5879, 0.3875], qb:[0.4499, 0.775], phi:[0.4499]] | [M:[[-18], [2], [-13], [-3], [3], [2], [13], [7]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.138 + 2*t^2.325 + t^2.512 + t^2.699 + t^3.074 + t^3.113 + t^3.488 + t^4.049 + t^4.089 + 2*t^4.276 + 3*t^4.463 + 4*t^4.65 + 3*t^4.837 + t^4.877 + 3*t^5.025 + 2*t^5.212 + t^5.251 + 2*t^5.399 + 2*t^5.439 + 2*t^5.626 + t^5.773 + 2*t^5.813 - 2*t^6. + t^6.148 + t^6.187 + 2*t^6.227 + t^6.374 + 3*t^6.414 + t^6.561 + 5*t^6.601 + 6*t^6.788 - t^6.936 + 7*t^6.975 + t^7.015 + t^7.123 + 6*t^7.163 + 3*t^7.202 + 4*t^7.35 + 2*t^7.389 + 5*t^7.537 + 4*t^7.577 + 3*t^7.724 + 3*t^7.764 + t^7.911 + 3*t^7.951 + t^7.99 + 3*t^8.098 + t^8.285 - 4*t^8.325 + 3*t^8.365 + 3*t^8.473 - t^8.512 + 5*t^8.552 - 2*t^8.699 + 6*t^8.739 + t^8.847 + 9*t^8.926 + t^8.966 - t^4.35/y - t^6.488/y - (2*t^6.675)/y - t^7.049/y + t^7.276/y - t^7.423/y + (2*t^7.463)/y + (3*t^7.65)/y + (3*t^7.837)/y + (4*t^8.025)/y + (3*t^8.212)/y + t^8.251/y + (2*t^8.399)/y + (2*t^8.439)/y + t^8.586/y + t^8.626/y + t^8.773/y + t^8.813/y - t^4.35*y - t^6.488*y - 2*t^6.675*y - t^7.049*y + t^7.276*y - t^7.423*y + 2*t^7.463*y + 3*t^7.65*y + 3*t^7.837*y + 4*t^8.025*y + 3*t^8.212*y + t^8.251*y + 2*t^8.399*y + 2*t^8.439*y + t^8.586*y + t^8.626*y + t^8.773*y + t^8.813*y | g1^7*t^2.138 + 2*g1^2*t^2.325 + t^2.512/g1^3 + t^2.699/g1^8 + t^3.074/g1^18 + g1^13*t^3.113 + g1^3*t^3.488 + t^4.049/g1^12 + g1^19*t^4.089 + 2*g1^14*t^4.276 + 3*g1^9*t^4.463 + 4*g1^4*t^4.65 + (3*t^4.837)/g1 + g1^30*t^4.877 + (3*t^5.025)/g1^6 + (2*t^5.212)/g1^11 + g1^20*t^5.251 + (2*t^5.399)/g1^16 + 2*g1^15*t^5.439 + 2*g1^10*t^5.626 + t^5.773/g1^26 + 2*g1^5*t^5.813 - 2*t^6. + t^6.148/g1^36 + t^6.187/g1^5 + 2*g1^26*t^6.227 + t^6.374/g1^10 + 3*g1^21*t^6.414 + t^6.561/g1^15 + 5*g1^16*t^6.601 + 6*g1^11*t^6.788 - t^6.936/g1^25 + 7*g1^6*t^6.975 + g1^37*t^7.015 + t^7.123/g1^30 + 6*g1*t^7.163 + 3*g1^32*t^7.202 + (4*t^7.35)/g1^4 + 2*g1^27*t^7.389 + (5*t^7.537)/g1^9 + 4*g1^22*t^7.577 + (3*t^7.724)/g1^14 + 3*g1^17*t^7.764 + t^7.911/g1^19 + 3*g1^12*t^7.951 + g1^43*t^7.99 + (3*t^8.098)/g1^24 + t^8.285/g1^29 - 4*g1^2*t^8.325 + 3*g1^33*t^8.365 + (3*t^8.473)/g1^34 - t^8.512/g1^3 + 5*g1^28*t^8.552 - (2*t^8.699)/g1^8 + 6*g1^23*t^8.739 + t^8.847/g1^44 + 9*g1^18*t^8.926 + g1^49*t^8.966 - t^4.35/(g1^4*y) - (g1^3*t^6.488)/y - (2*t^6.675)/(g1^2*y) - t^7.049/(g1^12*y) + (g1^14*t^7.276)/y - t^7.423/(g1^22*y) + (2*g1^9*t^7.463)/y + (3*g1^4*t^7.65)/y + (3*t^7.837)/(g1*y) + (4*t^8.025)/(g1^6*y) + (3*t^8.212)/(g1^11*y) + (g1^20*t^8.251)/y + (2*t^8.399)/(g1^16*y) + (2*g1^15*t^8.439)/y + t^8.586/(g1^21*y) + (g1^10*t^8.626)/y + t^8.773/(g1^26*y) + (g1^5*t^8.813)/y - (t^4.35*y)/g1^4 - g1^3*t^6.488*y - (2*t^6.675*y)/g1^2 - (t^7.049*y)/g1^12 + g1^14*t^7.276*y - (t^7.423*y)/g1^22 + 2*g1^9*t^7.463*y + 3*g1^4*t^7.65*y + (3*t^7.837*y)/g1 + (4*t^8.025*y)/g1^6 + (3*t^8.212*y)/g1^11 + g1^20*t^8.251*y + (2*t^8.399*y)/g1^16 + 2*g1^15*t^8.439*y + (t^8.586*y)/g1^21 + g1^10*t^8.626*y + (t^8.773*y)/g1^26 + g1^5*t^8.813*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 |
---|---|---|---|---|---|---|---|---|
6406 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}M_{9}$ | 0.7043 | 0.8918 | 0.7897 | [M:[0.9814, 0.7798, 0.931, 0.8302, 1.1698, 0.7798, 1.069, 0.7294, 0.931], q:[0.6287, 0.3899], qb:[0.4403, 0.7798], phi:[0.4403]] | t^2.188 + 2*t^2.34 + t^2.491 + t^2.642 + t^2.793 + t^2.944 + t^3.509 + t^3.963 + t^4.225 + 2*t^4.377 + 3*t^4.528 + 4*t^4.679 + 3*t^4.83 + 4*t^4.981 + t^5.093 + 4*t^5.133 + 3*t^5.284 + t^5.435 + 2*t^5.586 + t^5.698 + t^5.737 + t^5.849 + t^5.889 - 2*t^6. - t^4.321/y - t^4.321*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 |
---|---|---|---|---|---|---|---|---|---|
2640 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6791 | 0.8461 | 0.8026 | [M:[1.0181, 0.7758, 0.9575, 0.8364, 1.1636, 0.7758, 1.0425], q:[0.594, 0.3879], qb:[0.4485, 0.7758], phi:[0.4485]] | 2*t^2.327 + t^2.509 + t^2.691 + t^3.054 + t^3.127 + t^3.491 + t^3.854 + t^4.036 + t^4.109 + t^4.291 + t^4.473 + 3*t^4.655 + 2*t^4.836 + t^4.909 + 3*t^5.018 + t^5.2 + 2*t^5.382 + 2*t^5.455 + t^5.636 + t^5.745 + 2*t^5.818 - 2*t^6. - t^4.345/y - t^4.345*y | detail |