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 |
---|---|---|---|---|---|---|---|---|---|
2920 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5547 | 0.7202 | 0.7703 | [M:[1.0588, 0.8235, 0.9412, 1.1765, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2565/4624, c: 1665/2312, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + t^3.882 + 4*t^4.235 + 4*t^4.588 + 7*t^4.941 + 5*t^5.294 + 4*t^5.647 + t^6. + 7*t^6.353 + 6*t^6.706 + 11*t^7.059 + 9*t^7.412 + 11*t^7.765 + 4*t^8.118 + 5*t^8.471 + 3*t^8.824 - t^4.412/y - t^6.529/y + (5*t^7.588)/y + (5*t^7.941)/y + (5*t^8.294)/y + (4*t^8.647)/y - t^4.412*y - t^6.529*y + 5*t^7.588*y + 5*t^7.941*y + 5*t^8.294*y + 4*t^8.647*y | 2*t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + t^3.882 + 4*t^4.235 + 4*t^4.588 + 7*t^4.941 + 5*t^5.294 + 4*t^5.647 + t^6. + 7*t^6.353 + 6*t^6.706 + 11*t^7.059 + 9*t^7.412 + 11*t^7.765 + 4*t^8.118 + 5*t^8.471 + 3*t^8.824 - t^4.412/y - t^6.529/y + (5*t^7.588)/y + (5*t^7.941)/y + (5*t^8.294)/y + (4*t^8.647)/y - t^4.412*y - t^6.529*y + 5*t^7.588*y + 5*t^7.941*y + 5*t^8.294*y + 4*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
3507 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5751 | 0.759 | 0.7578 | [M:[1.0588, 0.8235, 0.9412, 1.1765, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 3*t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + 7*t^4.235 + 6*t^4.588 + 9*t^4.941 + 5*t^5.294 + 6*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 22605/39304, c: 14915/19652, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 12/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
1896 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6103 | 0.7849 | 0.7775 | [M:[0.9748, 1.0757, 1.0252, 0.9243, 0.7689], q:[0.7437, 0.2816], qb:[0.4369, 0.4874], phi:[0.5126]] | t^2.155 + 2*t^2.307 + t^2.773 + 2*t^3.076 + t^3.227 + t^3.542 + t^3.693 + t^3.845 + t^4.159 + 2*t^4.311 + 3*t^4.462 + 3*t^4.614 + t^4.928 + 2*t^5.08 + 2*t^5.231 + 4*t^5.383 + t^5.534 + t^5.546 + t^5.697 + 3*t^5.849 - t^4.538/y - t^4.538*y | detail |