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 |
---|---|---|---|---|---|---|---|---|---|
56825 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}X_{1}$ | 0.6293 | 0.783 | 0.8037 | [X:[1.3906], M:[0.7701, 0.6094, 1.0692, 1.2299, 0.9308, 0.9085, 0.9308], q:[0.7645, 0.4654], qb:[0.6261, 0.3047], phi:[0.4598]] | [X:[[14]], M:[[2], [-14], [-18], [-2], [18], [-34], [18]], q:[[-11], [9]], qb:[[25], [-7]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$ | ${}$ | -1 | t^2.31 + t^2.725 + t^2.759 + 2*t^2.792 + t^3.208 + 2*t^3.69 + 3*t^4.172 + t^4.587 + t^4.654 + 2*t^5.069 + t^5.103 + t^5.136 + t^5.451 + t^5.484 + 2*t^5.518 + 3*t^5.551 + 2*t^5.585 + t^5.933 + 2*t^5.966 - t^6. + t^6.415 + t^6.449 + 2*t^6.482 + 2*t^6.897 + 2*t^6.931 + 4*t^6.964 + t^7.312 + 3*t^7.379 - t^7.413 + 2*t^7.446 + t^7.795 - t^7.828 + 6*t^7.862 + t^7.895 + 2*t^7.929 + t^8.176 + t^8.21 + 2*t^8.243 + 4*t^8.277 - t^8.31 + 8*t^8.344 + t^8.377 + t^8.658 + 2*t^8.692 - t^8.725 + 2*t^8.759 - 8*t^8.792 + 3*t^8.826 - t^4.379/y - t^7.105/y - t^7.138/y - t^7.172/y + t^7.587/y + t^7.621/y + t^7.654/y + t^8.036/y + t^8.069/y + (2*t^8.103)/y + t^8.484/y + (3*t^8.518)/y + (2*t^8.551)/y + t^8.585/y + t^8.933/y + t^8.966/y - t^4.379*y - t^7.105*y - t^7.138*y - t^7.172*y + t^7.587*y + t^7.621*y + t^7.654*y + t^8.036*y + t^8.069*y + 2*t^8.103*y + t^8.484*y + 3*t^8.518*y + 2*t^8.551*y + t^8.585*y + t^8.933*y + t^8.966*y | g1^2*t^2.31 + t^2.725/g1^34 + t^2.759/g1^8 + 2*g1^18*t^2.792 + t^3.208/g1^18 + (2*t^3.69)/g1^2 + 3*g1^14*t^4.172 + t^4.587/g1^22 + g1^30*t^4.654 + (2*t^5.069)/g1^6 + g1^20*t^5.103 + g1^46*t^5.136 + t^5.451/g1^68 + t^5.484/g1^42 + (2*t^5.518)/g1^16 + 3*g1^10*t^5.551 + 2*g1^36*t^5.585 + t^5.933/g1^52 + (2*t^5.966)/g1^26 - t^6. + t^6.415/g1^36 + t^6.449/g1^10 + 2*g1^16*t^6.482 + (2*t^6.897)/g1^20 + 2*g1^6*t^6.931 + 4*g1^32*t^6.964 + t^7.312/g1^56 + (3*t^7.379)/g1^4 - g1^22*t^7.413 + 2*g1^48*t^7.446 + t^7.795/g1^40 - t^7.828/g1^14 + 6*g1^12*t^7.862 + g1^38*t^7.895 + 2*g1^64*t^7.929 + t^8.176/g1^102 + t^8.21/g1^76 + (2*t^8.243)/g1^50 + (4*t^8.277)/g1^24 - g1^2*t^8.31 + 8*g1^28*t^8.344 + g1^54*t^8.377 + t^8.658/g1^86 + (2*t^8.692)/g1^60 - t^8.725/g1^34 + (2*t^8.759)/g1^8 - 8*g1^18*t^8.792 + 3*g1^44*t^8.826 - t^4.379/(g1^4*y) - t^7.105/(g1^38*y) - t^7.138/(g1^12*y) - (g1^14*t^7.172)/y + t^7.587/(g1^22*y) + (g1^4*t^7.621)/y + (g1^30*t^7.654)/y + t^8.036/(g1^32*y) + t^8.069/(g1^6*y) + (2*g1^20*t^8.103)/y + t^8.484/(g1^42*y) + (3*t^8.518)/(g1^16*y) + (2*g1^10*t^8.551)/y + (g1^36*t^8.585)/y + t^8.933/(g1^52*y) + t^8.966/(g1^26*y) - (t^4.379*y)/g1^4 - (t^7.105*y)/g1^38 - (t^7.138*y)/g1^12 - g1^14*t^7.172*y + (t^7.587*y)/g1^22 + g1^4*t^7.621*y + g1^30*t^7.654*y + (t^8.036*y)/g1^32 + (t^8.069*y)/g1^6 + 2*g1^20*t^8.103*y + (t^8.484*y)/g1^42 + (3*t^8.518*y)/g1^16 + 2*g1^10*t^8.551*y + g1^36*t^8.585*y + (t^8.933*y)/g1^52 + (t^8.966*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
58826 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ | 0.5596 | 0.7158 | 0.7817 | [X:[1.25], M:[0.75, 0.75, 1.25, 1.25, 0.75, 1.25, 0.75], q:[0.875, 0.375], qb:[0.375, 0.375], phi:[0.5]] | 3*t^2.25 + t^3. + 9*t^3.75 + 3*t^4.5 + 6*t^5.25 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 573/1024, c: 733/1024, X1: 5/4, M1: 3/4, M2: 3/4, M3: 5/4, M4: 5/4, M5: 3/4, M6: 5/4, M7: 3/4, q1: 7/8, q2: 3/8, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
55151 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.9538, 0.8541, 0.9466, 1.0462, 1.0534, 0.847, 0.6708], q:[0.5195, 0.5267], qb:[0.6263, 0.4271], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |