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 |
---|---|---|---|---|---|---|---|---|---|
1113 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6767 | 0.8366 | 0.8089 | [M:[1.0884, 1.0884, 1.0137, 0.9116, 0.7073, 0.9116], q:[0.7721, 0.4184], qb:[0.4931, 0.4931], phi:[0.4558]] | [M:[[4], [4], [-22], [-4], [32], [-4]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -5 | t^2.122 + 3*t^2.735 + t^3.041 + t^3.572 + 2*t^3.796 + 2*t^4.102 + t^4.244 + 3*t^4.326 + 3*t^4.857 + t^5.163 + 6*t^5.47 + t^5.694 + t^5.776 + 2*t^5.918 - 5*t^6. + t^6.082 + 2*t^6.306 + t^6.366 + 3*t^6.448 + 3*t^6.53 + t^6.613 + 5*t^6.837 + 3*t^6.979 + 6*t^7.061 + t^7.285 - t^7.367 + 4*t^7.591 + t^7.816 + 4*t^7.898 + 2*t^8.04 - t^8.122 + 10*t^8.204 + 4*t^8.428 + t^8.488 + 3*t^8.57 + 8*t^8.652 - 14*t^8.735 + t^8.817 - t^8.959 - t^4.367/y - t^6.489/y - t^7.102/y + t^7.326/y - t^7.409/y + t^7.633/y + (3*t^7.857)/y + t^8.163/y + t^8.245/y + (3*t^8.47)/y - t^8.611/y + t^8.694/y + (3*t^8.776)/y + (2*t^8.918)/y - t^4.367*y - t^6.489*y - t^7.102*y + t^7.326*y - t^7.409*y + t^7.633*y + 3*t^7.857*y + t^8.163*y + t^8.245*y + 3*t^8.47*y - t^8.611*y + t^8.694*y + 3*t^8.776*y + 2*t^8.918*y | g1^32*t^2.122 + (3*t^2.735)/g1^4 + t^3.041/g1^22 + t^3.572/g1^14 + 2*g1^12*t^3.796 + (2*t^4.102)/g1^6 + g1^64*t^4.244 + 3*g1^20*t^4.326 + 3*g1^28*t^4.857 + g1^10*t^5.163 + (6*t^5.47)/g1^8 + g1^18*t^5.694 + t^5.776/g1^26 + 2*g1^44*t^5.918 - 5*t^6. + t^6.082/g1^44 + (2*t^6.306)/g1^18 + g1^96*t^6.366 + 3*g1^52*t^6.448 + 3*g1^8*t^6.53 + t^6.613/g1^36 + (5*t^6.837)/g1^10 + 3*g1^60*t^6.979 + 6*g1^16*t^7.061 + g1^42*t^7.285 - t^7.367/g1^2 + 4*g1^24*t^7.591 + g1^50*t^7.816 + 4*g1^6*t^7.898 + 2*g1^76*t^8.04 - g1^32*t^8.122 + (10*t^8.204)/g1^12 + 4*g1^14*t^8.428 + g1^128*t^8.488 + 3*g1^84*t^8.57 + 8*g1^40*t^8.652 - (14*t^8.735)/g1^4 + t^8.817/g1^48 - g1^22*t^8.959 - t^4.367/(g1^2*y) - (g1^30*t^6.489)/y - t^7.102/(g1^6*y) + (g1^20*t^7.326)/y - t^7.409/(g1^24*y) + (g1^2*t^7.633)/y + (3*g1^28*t^7.857)/y + (g1^10*t^8.163)/y + t^8.245/(g1^34*y) + (3*t^8.47)/(g1^8*y) - (g1^62*t^8.611)/y + (g1^18*t^8.694)/y + (3*t^8.776)/(g1^26*y) + (2*g1^44*t^8.918)/y - (t^4.367*y)/g1^2 - g1^30*t^6.489*y - (t^7.102*y)/g1^6 + g1^20*t^7.326*y - (t^7.409*y)/g1^24 + g1^2*t^7.633*y + 3*g1^28*t^7.857*y + g1^10*t^8.163*y + (t^8.245*y)/g1^34 + (3*t^8.47*y)/g1^8 - g1^62*t^8.611*y + g1^18*t^8.694*y + (3*t^8.776*y)/g1^26 + 2*g1^44*t^8.918*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 |
---|---|---|---|---|---|---|---|---|
2143 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6964 | 0.8727 | 0.798 | [M:[1.0896, 1.0896, 1.0073, 0.9104, 0.7166, 0.9104, 0.7313], q:[0.7724, 0.4141], qb:[0.4963, 0.4963], phi:[0.4552]] | t^2.15 + t^2.194 + 3*t^2.731 + t^3.022 + t^3.559 + t^3.806 + 2*t^4.097 + t^4.3 + 4*t^4.344 + t^4.388 + 3*t^4.881 + 3*t^4.925 + t^5.172 + t^5.216 + 6*t^5.463 + t^5.709 + 2*t^5.753 + t^5.956 - 4*t^6. - t^4.366/y - t^4.366*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 |
---|---|---|---|---|---|---|---|---|---|
691 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6687 | 0.8234 | 0.8121 | [M:[1.0874, 1.0874, 1.0193, 0.9126, 0.6991], q:[0.7718, 0.4223], qb:[0.4903, 0.4903], phi:[0.4563]] | t^2.097 + 2*t^2.738 + t^3.058 + t^3.262 + t^3.582 + 2*t^3.787 + 2*t^4.107 + t^4.195 + 3*t^4.311 + 2*t^4.835 + t^5.155 + t^5.36 + 3*t^5.476 + t^5.68 + 2*t^5.884 - 3*t^6. - t^4.369/y - t^4.369*y | detail |