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 |
---|---|---|---|---|---|---|---|---|---|
4574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6875 | 0.884 | 0.7777 | [M:[1.0148, 0.8893, 1.1107, 0.7934, 1.2066, 0.7934, 0.6975, 0.7306], q:[0.5405, 0.4446], qb:[0.3487, 0.762], phi:[0.476]] | [M:[[-38], [14], [-14], [-10], [10], [-10], [-34], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.092 + t^2.192 + 2*t^2.38 + t^2.668 + t^2.856 + t^3.045 + t^3.332 + t^3.521 + 2*t^4.096 + t^4.185 + t^4.284 + 2*t^4.384 + 2*t^4.473 + 2*t^4.572 + t^4.671 + 4*t^4.76 + t^4.86 + t^4.949 + 3*t^5.048 + t^5.137 + 3*t^5.236 + t^5.336 + 2*t^5.425 + 2*t^5.524 + t^5.613 + 3*t^5.712 + 3*t^5.901 - 2*t^6. + t^6.089 + 3*t^6.188 + t^6.277 - t^6.288 + 3*t^6.377 + 4*t^6.476 + 3*t^6.565 + t^6.575 + t^6.664 + 5*t^6.764 + 4*t^6.853 + t^6.863 + 4*t^6.952 + 2*t^7.041 + 3*t^7.051 + 6*t^7.14 + t^7.23 + t^7.24 + 3*t^7.329 + t^7.339 + 6*t^7.428 + 2*t^7.517 + t^7.527 + 7*t^7.616 + t^7.706 + 2*t^7.716 + 4*t^7.805 - t^7.815 + 4*t^7.904 + 3*t^7.993 - t^8.003 + 3*t^8.092 + t^8.182 + 8*t^8.281 - t^8.291 + t^8.37 - 4*t^8.38 + 4*t^8.469 - t^8.479 + 8*t^8.569 + 3*t^8.658 - 5*t^8.668 + 6*t^8.757 + 3*t^8.767 + 4*t^8.856 + 6*t^8.945 - t^4.428/y - t^6.521/y - t^6.62/y - t^6.808/y + t^7.384/y + t^7.473/y + (3*t^7.572)/y + (2*t^7.76)/y + t^7.86/y + t^7.949/y + (4*t^8.048)/y + t^8.137/y + (4*t^8.236)/y + t^8.336/y + (3*t^8.425)/y + (2*t^8.524)/y + (3*t^8.712)/y - t^8.812/y + (2*t^8.901)/y - t^4.428*y - t^6.521*y - t^6.62*y - t^6.808*y + t^7.384*y + t^7.473*y + 3*t^7.572*y + 2*t^7.76*y + t^7.86*y + t^7.949*y + 4*t^8.048*y + t^8.137*y + 4*t^8.236*y + t^8.336*y + 3*t^8.425*y + 2*t^8.524*y + 3*t^8.712*y - t^8.812*y + 2*t^8.901*y | t^2.092/g1^34 + g1^16*t^2.192 + (2*t^2.38)/g1^10 + g1^14*t^2.668 + t^2.856/g1^12 + t^3.045/g1^38 + t^3.332/g1^14 + t^3.521/g1^40 + 2*g1^8*t^4.096 + t^4.185/g1^68 + t^4.284/g1^18 + 2*g1^32*t^4.384 + (2*t^4.473)/g1^44 + 2*g1^6*t^4.572 + g1^56*t^4.671 + (4*t^4.76)/g1^20 + g1^30*t^4.86 + t^4.949/g1^46 + 3*g1^4*t^5.048 + t^5.137/g1^72 + (3*t^5.236)/g1^22 + g1^28*t^5.336 + (2*t^5.425)/g1^48 + 2*g1^2*t^5.524 + t^5.613/g1^74 + (3*t^5.712)/g1^24 + (3*t^5.901)/g1^50 - 2*t^6. + t^6.089/g1^76 + (3*t^6.188)/g1^26 + t^6.277/g1^102 - g1^24*t^6.288 + (3*t^6.377)/g1^52 + (4*t^6.476)/g1^2 + (3*t^6.565)/g1^78 + g1^48*t^6.575 + t^6.664/g1^28 + 5*g1^22*t^6.764 + (4*t^6.853)/g1^54 + g1^72*t^6.863 + (4*t^6.952)/g1^4 + (2*t^7.041)/g1^80 + 3*g1^46*t^7.051 + (6*t^7.14)/g1^30 + t^7.23/g1^106 + g1^20*t^7.24 + (3*t^7.329)/g1^56 + g1^70*t^7.339 + (6*t^7.428)/g1^6 + (2*t^7.517)/g1^82 + g1^44*t^7.527 + (7*t^7.616)/g1^32 + t^7.706/g1^108 + 2*g1^18*t^7.716 + (4*t^7.805)/g1^58 - g1^68*t^7.815 + (4*t^7.904)/g1^8 + (3*t^7.993)/g1^84 - g1^42*t^8.003 + (3*t^8.092)/g1^34 + t^8.182/g1^110 + (8*t^8.281)/g1^60 - g1^66*t^8.291 + t^8.37/g1^136 - (4*t^8.38)/g1^10 + (4*t^8.469)/g1^86 - g1^40*t^8.479 + (8*t^8.569)/g1^36 + (3*t^8.658)/g1^112 - 5*g1^14*t^8.668 + (6*t^8.757)/g1^62 + 3*g1^64*t^8.767 + (4*t^8.856)/g1^12 + (6*t^8.945)/g1^88 - t^4.428/(g1^6*y) - t^6.521/(g1^40*y) - (g1^10*t^6.62)/y - t^6.808/(g1^16*y) + (g1^32*t^7.384)/y + t^7.473/(g1^44*y) + (3*g1^6*t^7.572)/y + (2*t^7.76)/(g1^20*y) + (g1^30*t^7.86)/y + t^7.949/(g1^46*y) + (4*g1^4*t^8.048)/y + t^8.137/(g1^72*y) + (4*t^8.236)/(g1^22*y) + (g1^28*t^8.336)/y + (3*t^8.425)/(g1^48*y) + (2*g1^2*t^8.524)/y + (3*t^8.712)/(g1^24*y) - (g1^26*t^8.812)/y + (2*t^8.901)/(g1^50*y) - (t^4.428*y)/g1^6 - (t^6.521*y)/g1^40 - g1^10*t^6.62*y - (t^6.808*y)/g1^16 + g1^32*t^7.384*y + (t^7.473*y)/g1^44 + 3*g1^6*t^7.572*y + (2*t^7.76*y)/g1^20 + g1^30*t^7.86*y + (t^7.949*y)/g1^46 + 4*g1^4*t^8.048*y + (t^8.137*y)/g1^72 + (4*t^8.236*y)/g1^22 + g1^28*t^8.336*y + (3*t^8.425*y)/g1^48 + 2*g1^2*t^8.524*y + (3*t^8.712*y)/g1^24 - g1^26*t^8.812*y + (2*t^8.901*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|
6094 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{9}$ | 0.6777 | 0.8685 | 0.7803 | [M:[1.0001, 0.8947, 1.1053, 0.7895, 1.2105, 0.7895, 0.6843, 0.7368, 1.1053], q:[0.5526, 0.4474], qb:[0.3421, 0.7632], phi:[0.4737]] | t^2.053 + t^2.21 + 2*t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + 2*t^4.105 + t^4.106 + t^4.263 + 4*t^4.421 + 2*t^4.579 + 4*t^4.737 + t^4.895 + 2*t^5.053 + 3*t^5.211 + 3*t^5.369 + 2*t^5.526 + t^5.527 + 4*t^5.684 + 3*t^5.842 - 2*t^6. - t^4.421/y - t^4.421*y | detail | |
6097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{9}$ | 0.6977 | 0.9006 | 0.7747 | [M:[1.0294, 0.8839, 1.1161, 0.7972, 1.2028, 0.7972, 0.7105, 0.7245, 0.8839], q:[0.5286, 0.442], qb:[0.3553, 0.7608], phi:[0.4783]] | t^2.132 + t^2.173 + 2*t^2.392 + 2*t^2.652 + t^2.87 + t^3.088 + t^3.567 + 2*t^4.087 + t^4.263 + t^4.305 + 2*t^4.347 + 2*t^4.523 + 2*t^4.565 + t^4.607 + 5*t^4.783 + 2*t^4.825 + t^5.001 + 5*t^5.043 + t^5.22 + 3*t^5.262 + 3*t^5.303 + t^5.48 + 2*t^5.522 + t^5.698 + 2*t^5.74 + 3*t^5.958 - 3*t^6. - t^4.435/y - t^4.435*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 |
---|---|---|---|---|---|---|---|---|---|
2519 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6678 | 0.848 | 0.7875 | [M:[1.0081, 0.8918, 1.1082, 0.7916, 1.2084, 0.7916, 0.6914], q:[0.546, 0.4459], qb:[0.3457, 0.7625], phi:[0.475]] | t^2.074 + 2*t^2.375 + t^2.675 + t^2.85 + t^3.024 + t^3.325 + t^3.499 + t^3.8 + 2*t^4.1 + t^4.149 + t^4.401 + 2*t^4.449 + t^4.701 + 4*t^4.75 + t^4.924 + 2*t^5.05 + t^5.098 + 2*t^5.225 + t^5.351 + 2*t^5.399 + t^5.525 + t^5.573 + 2*t^5.699 + 4*t^5.874 - 2*t^6. - t^4.425/y - t^4.425*y | detail |