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 |
---|---|---|---|---|---|---|---|---|---|
56218 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6748 | 0.848 | 0.7958 | [M:[1.1453, 0.9778, 1.0838, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.4803, 0.3744], qb:[0.5419, 0.7709], phi:[0.4581]] | [M:[[-5], [-13], [4], [5], [-3], [4], [-3]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}$ | -2 | 2*t^2.062 + t^2.564 + t^2.933 + 2*t^3.251 + t^3.436 + t^3.62 + t^3.754 + 4*t^4.123 + t^4.256 + t^4.441 + 3*t^4.626 + 2*t^4.995 + t^5.128 + 4*t^5.313 + 2*t^5.497 + t^5.682 + 3*t^5.815 + t^5.867 - 2*t^6. + 7*t^6.185 + 2*t^6.318 + t^6.369 + 2*t^6.503 + t^6.554 + 6*t^6.687 + t^6.821 + 2*t^7.005 + 4*t^7.056 + t^7.19 + t^7.241 + 6*t^7.374 + 2*t^7.508 + 3*t^7.559 + t^7.692 + 2*t^7.744 + 5*t^7.877 + 2*t^7.928 + t^8.01 - 5*t^8.062 + 10*t^8.246 + 3*t^8.38 + 2*t^8.431 + t^8.513 + t^8.615 + t^8.697 + 9*t^8.749 + t^8.8 + 3*t^8.882 - 4*t^8.933 - t^4.374/y - (2*t^6.436)/y + (2*t^7.123)/y - t^7.308/y + t^7.441/y + t^7.626/y + (2*t^7.995)/y + (6*t^8.313)/y + (2*t^8.682)/y + (4*t^8.815)/y - t^4.374*y - 2*t^6.436*y + 2*t^7.123*y - t^7.308*y + t^7.441*y + t^7.626*y + 2*t^7.995*y + 6*t^8.313*y + 2*t^8.682*y + 4*t^8.815*y | (2*t^2.062)/g1^3 + g1^5*t^2.564 + t^2.933/g1^13 + 2*g1^4*t^3.251 + t^3.436/g1^5 + t^3.62/g1^14 + g1^12*t^3.754 + (4*t^4.123)/g1^6 + g1^20*t^4.256 + g1^11*t^4.441 + 3*g1^2*t^4.626 + (2*t^4.995)/g1^16 + g1^10*t^5.128 + 4*g1*t^5.313 + (2*t^5.497)/g1^8 + t^5.682/g1^17 + 3*g1^9*t^5.815 + t^5.867/g1^26 - 2*t^6. + (7*t^6.185)/g1^9 + 2*g1^17*t^6.318 + t^6.369/g1^18 + 2*g1^8*t^6.503 + t^6.554/g1^27 + (6*t^6.687)/g1 + g1^25*t^6.821 + 2*g1^16*t^7.005 + (4*t^7.056)/g1^19 + g1^7*t^7.19 + t^7.241/g1^28 + (6*t^7.374)/g1^2 + 2*g1^24*t^7.508 + (3*t^7.559)/g1^11 + g1^15*t^7.692 + (2*t^7.744)/g1^20 + 5*g1^6*t^7.877 + (2*t^7.928)/g1^29 + g1^32*t^8.01 - (5*t^8.062)/g1^3 + (10*t^8.246)/g1^12 + 3*g1^14*t^8.38 + (2*t^8.431)/g1^21 + g1^40*t^8.513 + t^8.615/g1^30 + g1^31*t^8.697 + (9*t^8.749)/g1^4 + t^8.8/g1^39 + 3*g1^22*t^8.882 - (4*t^8.933)/g1^13 - t^4.374/(g1^2*y) - (2*t^6.436)/(g1^5*y) + (2*t^7.123)/(g1^6*y) - t^7.308/(g1^15*y) + (g1^11*t^7.441)/y + (g1^2*t^7.626)/y + (2*t^7.995)/(g1^16*y) + (6*g1*t^8.313)/y + (2*t^8.682)/(g1^17*y) + (4*g1^9*t^8.815)/y - (t^4.374*y)/g1^2 - (2*t^6.436*y)/g1^5 + (2*t^7.123*y)/g1^6 - (t^7.308*y)/g1^15 + g1^11*t^7.441*y + g1^2*t^7.626*y + (2*t^7.995*y)/g1^16 + 6*g1*t^8.313*y + (2*t^8.682*y)/g1^17 + 4*g1^9*t^8.815*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
50803 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6541 | 0.8078 | 0.8098 | [M:[1.1458, 0.9792, 1.0833, 0.8542, 0.6875, 1.0833], q:[0.4792, 0.375], qb:[0.5417, 0.7708], phi:[0.4583]] | t^2.063 + t^2.563 + t^2.938 + 2*t^3.25 + t^3.438 + t^3.625 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.25 + t^4.438 + 2*t^4.625 + t^5. + t^5.125 + 2*t^5.313 + t^5.5 + 2*t^5.813 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 4019/6144, c: 4963/6144, M1: 55/48, M2: 47/48, M3: 13/12, M4: 41/48, M5: 11/16, M6: 13/12, q1: 23/48, q2: 3/8, qb1: 13/24, qb2: 37/48, phi1: 11/24} |