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 |
---|---|---|---|---|---|---|---|---|---|
55484 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6926 | 0.8487 | 0.8161 | [M:[1.0253, 1.0051, 0.9747, 0.9848, 1.0152, 0.9848], q:[0.4924, 0.4823], qb:[0.5025, 0.5329], phi:[0.4975]] | [M:[[10], [2], [-10], [-6], [6], [-6]], q:[[-3], [-7]], qb:[[1], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.924 + 2*t^2.954 + t^2.985 + t^3.015 + t^3.076 + t^3.106 + t^4.386 + t^4.417 + 2*t^4.447 + t^4.477 + t^4.508 + t^4.538 + t^4.568 + t^4.599 + t^4.69 + t^5.879 + 3*t^5.909 + 2*t^5.939 + t^5.97 - 2*t^6. + t^6.03 + 2*t^6.061 + t^6.091 + t^6.182 + t^6.212 + t^7.31 + 2*t^7.341 + 3*t^7.371 + 4*t^7.401 + 3*t^7.432 + 2*t^7.462 + t^7.492 + 2*t^7.523 + 3*t^7.553 + t^7.583 + t^7.614 + 2*t^7.644 + 2*t^7.675 + t^7.705 + t^7.766 + t^7.796 + t^8.772 + t^8.803 + 3*t^8.833 + 4*t^8.863 + 4*t^8.894 + t^8.924 - 4*t^8.954 - t^8.985 - t^4.492/y - t^7.447/y + t^7.538/y + (2*t^8.879)/y + (2*t^8.909)/y + (3*t^8.939)/y + (2*t^8.97)/y - t^4.492*y - t^7.447*y + t^7.538*y + 2*t^8.879*y + 2*t^8.909*y + 3*t^8.939*y + 2*t^8.97*y | t^2.924/g1^10 + (2*t^2.954)/g1^6 + t^2.985/g1^2 + g1^2*t^3.015 + g1^10*t^3.076 + g1^14*t^3.106 + t^4.386/g1^15 + t^4.417/g1^11 + (2*t^4.447)/g1^7 + t^4.477/g1^3 + g1*t^4.508 + g1^5*t^4.538 + g1^9*t^4.568 + g1^13*t^4.599 + g1^25*t^4.69 + t^5.879/g1^16 + (3*t^5.909)/g1^12 + (2*t^5.939)/g1^8 + t^5.97/g1^4 - 2*t^6. + g1^4*t^6.03 + 2*g1^8*t^6.061 + g1^12*t^6.091 + g1^24*t^6.182 + g1^28*t^6.212 + t^7.31/g1^25 + (2*t^7.341)/g1^21 + (3*t^7.371)/g1^17 + (4*t^7.401)/g1^13 + (3*t^7.432)/g1^9 + (2*t^7.462)/g1^5 + t^7.492/g1 + 2*g1^3*t^7.523 + 3*g1^7*t^7.553 + g1^11*t^7.583 + g1^15*t^7.614 + 2*g1^19*t^7.644 + 2*g1^23*t^7.675 + g1^27*t^7.705 + g1^35*t^7.766 + g1^39*t^7.796 + t^8.772/g1^30 + t^8.803/g1^26 + (3*t^8.833)/g1^22 + (4*t^8.863)/g1^18 + (4*t^8.894)/g1^14 + t^8.924/g1^10 - (4*t^8.954)/g1^6 - t^8.985/g1^2 - t^4.492/(g1*y) - t^7.447/(g1^7*y) + (g1^5*t^7.538)/y + (2*t^8.879)/(g1^16*y) + (2*t^8.909)/(g1^12*y) + (3*t^8.939)/(g1^8*y) + (2*t^8.97)/(g1^4*y) - (t^4.492*y)/g1 - (t^7.447*y)/g1^7 + g1^5*t^7.538*y + (2*t^8.879*y)/g1^16 + (2*t^8.909*y)/g1^12 + (3*t^8.939*y)/g1^8 + (2*t^8.97*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
57083 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6961 | 0.8552 | 0.814 | [M:[1.0504, 1.0101, 0.9496, 0.9698, 1.0302, 0.9698, 0.9496], q:[0.4849, 0.4647], qb:[0.505, 0.5655], phi:[0.495]] | 2*t^2.849 + 2*t^2.909 + t^2.97 + t^3.03 + t^3.212 + t^4.273 + t^4.334 + 2*t^4.394 + t^4.455 + t^4.515 + t^4.576 + t^4.636 + t^4.696 + t^4.878 + 2*t^5.698 + 3*t^5.758 + 4*t^5.819 + 3*t^5.879 + t^5.94 - 3*t^6. - t^4.485/y - t^4.485*y | detail | |
57082 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6922 | 0.8481 | 0.8162 | [M:[1.0203, 1.0041, 0.9797, 0.9878, 1.0122, 0.9878, 1.0041], q:[0.4939, 0.4858], qb:[0.502, 0.5264], phi:[0.498]] | t^2.939 + 2*t^2.963 + 2*t^3.012 + t^3.061 + t^3.085 + t^4.409 + t^4.433 + 2*t^4.457 + t^4.482 + t^4.506 + t^4.53 + t^4.555 + t^4.579 + t^4.652 + t^5.903 + 2*t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. - t^4.494/y - t^4.494*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 |
---|---|---|---|---|---|---|---|---|---|
47177 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6987 | 0.854 | 0.8181 | [M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. - t^4.455/y - t^4.455*y | detail | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |