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 |
---|---|---|---|---|---|---|---|---|---|
55420 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6882 | 0.8597 | 0.8005 | [M:[1.0931, 0.7208, 0.7208, 1.0931, 0.9069, 0.9881], q:[0.506, 0.401], qb:[0.7733, 0.506], phi:[0.4535]] | [M:[[4], [-12], [-12], [4], [-4], [-22]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}^{2}$ | -3 | 2*t^2.162 + 2*t^2.721 + t^2.964 + t^3.279 + t^3.523 + t^3.766 + 2*t^4.081 + 3*t^4.325 + 3*t^4.396 + 4*t^4.883 + 2*t^5.127 + 5*t^5.442 + 2*t^5.685 + 3*t^5.928 - 3*t^6. + 6*t^6.243 - 2*t^6.315 + 7*t^6.487 + 4*t^6.558 + t^6.73 + 2*t^6.802 + 7*t^7.045 + 3*t^7.117 + 4*t^7.289 - t^7.36 + t^7.532 + 9*t^7.604 - 2*t^7.675 + 5*t^7.847 - t^7.919 + 5*t^8.091 - 2*t^8.234 + 9*t^8.406 - 2*t^8.477 + 11*t^8.649 - 2*t^8.721 + 5*t^8.792 + 3*t^8.893 + 3*t^8.964 - t^4.36/y - (2*t^6.523)/y + t^7.396/y + (4*t^7.883)/y + (2*t^8.127)/y + (2*t^8.198)/y + (3*t^8.442)/y + t^8.685/y + (2*t^8.928)/y - t^4.36*y - 2*t^6.523*y + t^7.396*y + 4*t^7.883*y + 2*t^8.127*y + 2*t^8.198*y + 3*t^8.442*y + t^8.685*y + 2*t^8.928*y | (2*t^2.162)/g1^12 + (2*t^2.721)/g1^4 + t^2.964/g1^22 + g1^4*t^3.279 + t^3.523/g1^14 + t^3.766/g1^32 + (2*t^4.081)/g1^6 + (3*t^4.325)/g1^24 + 3*g1^20*t^4.396 + (4*t^4.883)/g1^16 + (2*t^5.127)/g1^34 + (5*t^5.442)/g1^8 + (2*t^5.685)/g1^26 + (3*t^5.928)/g1^44 - 3*t^6. + (6*t^6.243)/g1^18 - 2*g1^26*t^6.315 + (7*t^6.487)/g1^36 + 4*g1^8*t^6.558 + t^6.73/g1^54 + (2*t^6.802)/g1^10 + (7*t^7.045)/g1^28 + 3*g1^16*t^7.117 + (4*t^7.289)/g1^46 - t^7.36/g1^2 + t^7.532/g1^64 + (9*t^7.604)/g1^20 - 2*g1^24*t^7.675 + (5*t^7.847)/g1^38 - g1^6*t^7.919 + (5*t^8.091)/g1^56 - 2*g1^32*t^8.234 + (9*t^8.406)/g1^30 - 2*g1^14*t^8.477 + (11*t^8.649)/g1^48 - (2*t^8.721)/g1^4 + 5*g1^40*t^8.792 + (3*t^8.893)/g1^66 + (3*t^8.964)/g1^22 - t^4.36/(g1^2*y) - (2*t^6.523)/(g1^14*y) + (g1^20*t^7.396)/y + (4*t^7.883)/(g1^16*y) + (2*t^8.127)/(g1^34*y) + (2*g1^10*t^8.198)/y + (3*t^8.442)/(g1^8*y) + t^8.685/(g1^26*y) + (2*t^8.928)/(g1^44*y) - (t^4.36*y)/g1^2 - (2*t^6.523*y)/g1^14 + g1^20*t^7.396*y + (4*t^7.883*y)/g1^16 + (2*t^8.127*y)/g1^34 + 2*g1^10*t^8.198*y + (3*t^8.442*y)/g1^8 + (t^8.685*y)/g1^26 + (2*t^8.928*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
57013 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6802 | 0.8437 | 0.8062 | [M:[1.0769, 0.7692, 0.7692, 1.0769, 0.9231, 1.0769], q:[0.4615, 0.4615], qb:[0.7692, 0.4615], phi:[0.4615]] | 2*t^2.308 + 2*t^2.769 + 2*t^3.231 + t^3.692 + 6*t^4.154 + 3*t^4.615 + 4*t^5.077 + 7*t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 11955/17576, c: 3707/4394, M1: 14/13, M2: 10/13, M3: 10/13, M4: 14/13, M5: 12/13, M6: 14/13, q1: 6/13, q2: 6/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
46807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.6892 | 0.8587 | 0.8026 | [M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | 2*t^2.237 + 2*t^2.746 + t^2.899 + t^3.254 + t^3.61 + t^3.965 + 2*t^4.118 + 3*t^4.272 + 3*t^4.474 + 4*t^4.982 + 2*t^5.136 + 5*t^5.491 + 2*t^5.645 + t^5.798 - 3*t^6. - t^4.373/y - t^4.373*y | detail |