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 |
---|---|---|---|---|---|---|---|---|---|
4659 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6774 | 0.8516 | 0.7954 | [X:[1.3193], M:[1.1064, 0.6807, 0.9147, 0.8725, 1.1275, 0.8725, 0.8725, 0.6807], q:[0.5532, 0.3404], qb:[0.5321, 0.7871], phi:[0.4468]] | [X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7], [7], [-6]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$ | ${}M_{8}X_{1}$ | -3 | t^2.042 + 3*t^2.617 + t^2.681 + t^2.744 + t^3.319 + t^3.958 + 2*t^4.021 + t^4.084 + t^4.533 + t^4.596 + 3*t^4.66 + 2*t^4.723 + t^4.786 + 5*t^5.235 + 3*t^5.298 + 5*t^5.361 + t^5.488 + 2*t^5.937 - 3*t^6. + 3*t^6.063 + t^6.126 + 2*t^6.575 + 5*t^6.639 + 3*t^6.702 + 2*t^6.765 + t^6.828 + 3*t^7.151 + 3*t^7.214 + 6*t^7.277 + 3*t^7.34 + 4*t^7.404 + t^7.467 + t^7.53 + 7*t^7.852 + 4*t^7.916 + 7*t^7.979 - t^8.042 + 5*t^8.105 + t^8.169 + t^8.232 + t^8.491 + 3*t^8.554 - 9*t^8.617 + 3*t^8.681 - t^8.744 + 4*t^8.807 + t^8.87 - t^4.34/y - t^6.383/y - (2*t^6.958)/y - t^7.084/y + t^7.596/y + (3*t^7.66)/y + (3*t^7.723)/y + t^7.786/y + (3*t^8.235)/y + (4*t^8.298)/y + (4*t^8.361)/y + (3*t^8.937)/y - t^4.34*y - t^6.383*y - 2*t^6.958*y - t^7.084*y + t^7.596*y + 3*t^7.66*y + 3*t^7.723*y + t^7.786*y + 3*t^8.235*y + 4*t^8.298*y + 4*t^8.361*y + 3*t^8.937*y | t^2.042/g1^6 + 3*g1^7*t^2.617 + t^2.681/g1^2 + t^2.744/g1^11 + g1^2*t^3.319 + g1^6*t^3.958 + (2*t^4.021)/g1^3 + t^4.084/g1^12 + g1^19*t^4.533 + g1^10*t^4.596 + 3*g1*t^4.66 + (2*t^4.723)/g1^8 + t^4.786/g1^17 + 5*g1^14*t^5.235 + 3*g1^5*t^5.298 + (5*t^5.361)/g1^4 + t^5.488/g1^22 + 2*g1^9*t^5.937 - 3*t^6. + (3*t^6.063)/g1^9 + t^6.126/g1^18 + 2*g1^13*t^6.575 + 5*g1^4*t^6.639 + (3*t^6.702)/g1^5 + (2*t^6.765)/g1^14 + t^6.828/g1^23 + 3*g1^26*t^7.151 + 3*g1^17*t^7.214 + 6*g1^8*t^7.277 + (3*t^7.34)/g1 + (4*t^7.404)/g1^10 + t^7.467/g1^19 + t^7.53/g1^28 + 7*g1^21*t^7.852 + 4*g1^12*t^7.916 + 7*g1^3*t^7.979 - t^8.042/g1^6 + (5*t^8.105)/g1^15 + t^8.169/g1^24 + t^8.232/g1^33 + g1^25*t^8.491 + 3*g1^16*t^8.554 - 9*g1^7*t^8.617 + (3*t^8.681)/g1^2 - t^8.744/g1^11 + (4*t^8.807)/g1^20 + t^8.87/g1^29 - t^4.34/(g1*y) - t^6.383/(g1^7*y) - (2*g1^6*t^6.958)/y - t^7.084/(g1^12*y) + (g1^10*t^7.596)/y + (3*g1*t^7.66)/y + (3*t^7.723)/(g1^8*y) + t^7.786/(g1^17*y) + (3*g1^14*t^8.235)/y + (4*g1^5*t^8.298)/y + (4*t^8.361)/(g1^4*y) + (3*g1^9*t^8.937)/y - (t^4.34*y)/g1 - (t^6.383*y)/g1^7 - 2*g1^6*t^6.958*y - (t^7.084*y)/g1^12 + g1^10*t^7.596*y + 3*g1*t^7.66*y + (3*t^7.723*y)/g1^8 + (t^7.786*y)/g1^17 + 3*g1^14*t^8.235*y + 4*g1^5*t^8.298*y + (4*t^8.361*y)/g1^4 + 3*g1^9*t^8.937*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 |
---|---|---|---|---|---|---|---|---|
6236 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6026 | 0.7828 | 0.7699 | [X:[1.1765], M:[1.0588, 0.8235, 1.1765, 0.7059, 1.2941, 0.7059, 0.7059, 0.8235], q:[0.5294, 0.4118], qb:[0.2941, 0.8824], phi:[0.4706]] | 3*t^2.118 + t^2.471 + t^2.824 + 2*t^3.176 + 2*t^3.529 + t^3.882 + 7*t^4.235 + 3*t^4.588 + 4*t^4.941 + 7*t^5.294 + 7*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 47373/78608, c: 30767/39304, X1: 20/17, M1: 18/17, M2: 14/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 12/17, M7: 12/17, M8: 14/17, q1: 9/17, q2: 7/17, qb1: 5/17, qb2: 15/17, phi1: 8/17} |
6241 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}X_{1}$ | 0.6982 | 0.8923 | 0.7824 | [X:[1.3203], M:[1.1068, 0.6797, 0.9128, 0.8737, 1.1263, 0.8737, 0.8737, 0.6797, 0.6797], q:[0.5534, 0.3398], qb:[0.5338, 0.7865], phi:[0.4466]] | 2*t^2.039 + 3*t^2.621 + t^2.68 + t^2.738 + t^3.32 + 2*t^4.02 + 3*t^4.078 + t^4.543 + t^4.602 + 6*t^4.66 + 3*t^4.719 + 2*t^4.777 + 5*t^5.242 + 3*t^5.301 + 6*t^5.359 + t^5.477 + 2*t^5.941 - 4*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
2570 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6566 | 0.811 | 0.8097 | [X:[1.3181], M:[1.106, 0.6819, 0.9169, 0.8711, 1.1289, 0.8711, 0.8711], q:[0.553, 0.341], qb:[0.5301, 0.7879], phi:[0.447]] | 3*t^2.613 + t^2.682 + t^2.751 + t^3.318 + 2*t^3.954 + 2*t^4.023 + t^4.522 + t^4.59 + t^4.728 + 5*t^5.227 + 3*t^5.295 + 4*t^5.364 + t^5.501 + 2*t^5.931 - 4*t^6. - t^4.341/y - t^4.341*y | detail |