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 |
---|---|---|---|---|---|---|---|---|---|
5142 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6879 | 0.8801 | 0.7817 | [M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.7329, 0.8447, 0.8075], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]] | [M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3], [13, -5], [-3, 3], [-9, 1]], q:[[-1, -3], [-7, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{9}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{9}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{9}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{9}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$ | ${}$ | -3 | t^2.087 + 2*t^2.199 + 2*t^2.422 + 2*t^2.534 + 2*t^3.689 + t^4.174 + 2*t^4.286 + 3*t^4.398 + 2*t^4.509 + 6*t^4.621 + 4*t^4.733 + 4*t^4.845 + 4*t^4.957 + 3*t^5.068 + t^5.776 + 2*t^5.888 - 3*t^6. + 2*t^6.112 + 3*t^6.224 + t^6.261 + 2*t^6.373 + 3*t^6.485 + 6*t^6.596 + 6*t^6.708 + 10*t^6.82 + 9*t^6.932 + 10*t^7.043 + 8*t^7.155 + 8*t^7.267 + 7*t^7.379 + 4*t^7.491 + 3*t^7.602 + t^7.863 - t^8.087 - 6*t^8.199 + t^8.311 + t^8.348 - 6*t^8.422 + 2*t^8.46 - 4*t^8.534 + 3*t^8.572 + 6*t^8.683 + 3*t^8.758 + 11*t^8.795 + 10*t^8.907 - t^4.155/y - t^6.242/y - (2*t^6.354)/y - (2*t^6.578)/y - t^6.689/y + (2*t^7.286)/y + t^7.398/y + (2*t^7.509)/y + (7*t^7.621)/y + (6*t^7.733)/y + t^7.845/y + (6*t^7.957)/y + (2*t^8.068)/y - t^8.329/y - (2*t^8.441)/y - (3*t^8.553)/y - (2*t^8.665)/y - (3*t^8.776)/y + (2*t^8.888)/y - t^4.155*y - t^6.242*y - 2*t^6.354*y - 2*t^6.578*y - t^6.689*y + 2*t^7.286*y + t^7.398*y + 2*t^7.509*y + 7*t^7.621*y + 6*t^7.733*y + t^7.845*y + 6*t^7.957*y + 2*t^8.068*y - t^8.329*y - 2*t^8.441*y - 3*t^8.553*y - 2*t^8.665*y - 3*t^8.776*y + 2*t^8.888*y | (g1^7*t^2.087)/g2^7 + (g1^13*t^2.199)/g2^5 + t^2.199/(g1^4*g2^4) + g1^8*t^2.422 + (g2*t^2.422)/g1^9 + (2*g2^3*t^2.534)/g1^3 + (2*g2^2*t^3.689)/g1^2 + (g1^14*t^4.174)/g2^14 + (g1^20*t^4.286)/g2^12 + (g1^3*t^4.286)/g2^11 + (g1^26*t^4.398)/g2^10 + (g1^9*t^4.398)/g2^9 + t^4.398/(g1^8*g2^8) + (g1^15*t^4.509)/g2^7 + t^4.509/(g1^2*g2^6) + (g1^21*t^4.621)/g2^5 + (4*g1^4*t^4.621)/g2^4 + t^4.621/(g1^13*g2^3) + (2*g1^10*t^4.733)/g2^2 + (2*t^4.733)/(g1^7*g2) + g1^16*t^4.845 + (2*g2*t^4.845)/g1 + (g2^2*t^4.845)/g1^18 + 2*g1^5*g2^3*t^4.957 + (2*g2^4*t^4.957)/g1^12 + (3*g2^6*t^5.068)/g1^6 + (g1^5*t^5.776)/g2^5 + (g1^11*t^5.888)/g2^3 + t^5.888/(g1^6*g2^2) - 3*t^6. + g1^6*g2^2*t^6.112 + (g2^3*t^6.112)/g1^11 + (3*g2^5*t^6.224)/g1^5 + (g1^21*t^6.261)/g2^21 + (g1^27*t^6.373)/g2^19 + (g1^10*t^6.373)/g2^18 + (g1^33*t^6.485)/g2^17 + (g1^16*t^6.485)/g2^16 + t^6.485/(g1*g2^15) + (g1^39*t^6.596)/g2^15 + (2*g1^22*t^6.596)/g2^14 + (2*g1^5*t^6.596)/g2^13 + t^6.596/(g1^12*g2^12) + (g1^28*t^6.708)/g2^12 + (4*g1^11*t^6.708)/g2^11 + t^6.708/(g1^6*g2^10) + (g1^34*t^6.82)/g2^10 + (4*g1^17*t^6.82)/g2^9 + (4*t^6.82)/g2^8 + t^6.82/(g1^17*g2^7) + (3*g1^23*t^6.932)/g2^7 + (3*g1^6*t^6.932)/g2^6 + (3*t^6.932)/(g1^11*g2^5) + (g1^29*t^7.043)/g2^5 + (4*g1^12*t^7.043)/g2^4 + (4*t^7.043)/(g1^5*g2^3) + t^7.043/(g1^22*g2^2) + (2*t^7.155)/g1^16 + (2*g1^18*t^7.155)/g2^2 + (4*g1*t^7.155)/g2 + g1^24*t^7.267 + 3*g1^7*g2*t^7.267 + (3*g2^2*t^7.267)/g1^10 + (g2^3*t^7.267)/g1^27 + 2*g1^13*g2^3*t^7.379 + (3*g2^4*t^7.379)/g1^4 + (2*g2^5*t^7.379)/g1^21 + 2*g1^2*g2^6*t^7.491 + (2*g2^7*t^7.491)/g1^15 + (3*g2^9*t^7.602)/g1^9 + (g1^12*t^7.863)/g2^12 + (g1^24*t^8.087)/g2^8 - (3*g1^7*t^8.087)/g2^7 + t^8.087/(g1^10*g2^6) - (3*g1^13*t^8.199)/g2^5 - (3*t^8.199)/(g1^4*g2^4) + (g1^2*t^8.311)/g2^2 + (g1^28*t^8.348)/g2^28 - 3*g1^8*t^8.422 - (3*g2*t^8.422)/g1^9 + (g1^34*t^8.46)/g2^26 + (g1^17*t^8.46)/g2^25 + g1^14*g2^2*t^8.534 - (6*g2^3*t^8.534)/g1^3 + (g2^4*t^8.534)/g1^20 + (g1^40*t^8.572)/g2^24 + (g1^23*t^8.572)/g2^23 + (g1^6*t^8.572)/g2^22 + (g1^46*t^8.683)/g2^22 + (2*g1^29*t^8.683)/g2^21 + (2*g1^12*t^8.683)/g2^20 + t^8.683/(g1^5*g2^19) + (3*g2^8*t^8.758)/g1^8 + (g1^52*t^8.795)/g2^20 + (2*g1^35*t^8.795)/g2^19 + (5*g1^18*t^8.795)/g2^18 + (2*g1*t^8.795)/g2^17 + t^8.795/(g1^16*g2^16) + (g1^41*t^8.907)/g2^17 + (4*g1^24*t^8.907)/g2^16 + (4*g1^7*t^8.907)/g2^15 + t^8.907/(g1^10*g2^14) - (g1*t^4.155)/(g2*y) - (g1^8*t^6.242)/(g2^8*y) - (g1^14*t^6.354)/(g2^6*y) - t^6.354/(g1^3*g2^5*y) - t^6.578/(g1^8*y) - (g1^9*t^6.578)/(g2*y) - (g2^2*t^6.689)/(g1^2*y) + (g1^20*t^7.286)/(g2^12*y) + (g1^3*t^7.286)/(g2^11*y) + (g1^9*t^7.398)/(g2^9*y) + (g1^15*t^7.509)/(g2^7*y) + t^7.509/(g1^2*g2^6*y) + (g1^21*t^7.621)/(g2^5*y) + (5*g1^4*t^7.621)/(g2^4*y) + t^7.621/(g1^13*g2^3*y) + (3*g1^10*t^7.733)/(g2^2*y) + (3*t^7.733)/(g1^7*g2*y) + (g2*t^7.845)/(g1*y) + (3*g1^5*g2^3*t^7.957)/y + (3*g2^4*t^7.957)/(g1^12*y) + (2*g2^6*t^8.068)/(g1^6*y) - (g1^15*t^8.329)/(g2^15*y) - (g1^21*t^8.441)/(g2^13*y) - (g1^4*t^8.441)/(g2^12*y) - (g1^27*t^8.553)/(g2^11*y) - (g1^10*t^8.553)/(g2^10*y) - t^8.553/(g1^7*g2^9*y) - (g1^16*t^8.665)/(g2^8*y) - t^8.665/(g1*g2^7*y) - (g1^22*t^8.776)/(g2^6*y) - (g1^5*t^8.776)/(g2^5*y) - t^8.776/(g1^12*g2^4*y) + (g1^11*t^8.888)/(g2^3*y) + t^8.888/(g1^6*g2^2*y) - (g1*t^4.155*y)/g2 - (g1^8*t^6.242*y)/g2^8 - (g1^14*t^6.354*y)/g2^6 - (t^6.354*y)/(g1^3*g2^5) - (t^6.578*y)/g1^8 - (g1^9*t^6.578*y)/g2 - (g2^2*t^6.689*y)/g1^2 + (g1^20*t^7.286*y)/g2^12 + (g1^3*t^7.286*y)/g2^11 + (g1^9*t^7.398*y)/g2^9 + (g1^15*t^7.509*y)/g2^7 + (t^7.509*y)/(g1^2*g2^6) + (g1^21*t^7.621*y)/g2^5 + (5*g1^4*t^7.621*y)/g2^4 + (t^7.621*y)/(g1^13*g2^3) + (3*g1^10*t^7.733*y)/g2^2 + (3*t^7.733*y)/(g1^7*g2) + (g2*t^7.845*y)/g1 + 3*g1^5*g2^3*t^7.957*y + (3*g2^4*t^7.957*y)/g1^12 + (2*g2^6*t^8.068*y)/g1^6 - (g1^15*t^8.329*y)/g2^15 - (g1^21*t^8.441*y)/g2^13 - (g1^4*t^8.441*y)/g2^12 - (g1^27*t^8.553*y)/g2^11 - (g1^10*t^8.553*y)/g2^10 - (t^8.553*y)/(g1^7*g2^9) - (g1^16*t^8.665*y)/g2^8 - (t^8.665*y)/(g1*g2^7) - (g1^22*t^8.776*y)/g2^6 - (g1^5*t^8.776*y)/g2^5 - (t^8.776*y)/(g1^12*g2^4) + (g1^11*t^8.888*y)/g2^3 + (t^8.888*y)/(g1^6*g2^2) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.6727 | 0.8545 | 0.7872 | [M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | t^2.079 + t^2.12 + t^2.267 + t^2.349 + 2*t^2.538 + t^3.503 + 2*t^3.692 + t^4.157 + t^4.198 + t^4.24 + t^4.345 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + 3*t^4.616 + 2*t^4.658 + t^4.699 + 2*t^4.805 + t^4.846 + 2*t^4.887 + 3*t^5.076 + t^5.582 + t^5.623 + 2*t^5.77 + t^5.812 + t^5.853 + t^5.959 - 3*t^6. - t^4.154/y - t^4.154*y | detail |