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 |
---|---|---|---|---|---|---|---|---|---|
2724 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5838 | 0.6909 | 0.845 | [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.8588, 0.7156], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] | [X:[[2], [4]], M:[[-5], [-2], [-6], [-5]], q:[[1], [1]], qb:[[4], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$ | ${}$ | -3 | 2*t^2.147 + t^2.576 + t^3.424 + 2*t^4.282 + 3*t^4.294 + 2*t^4.712 + 2*t^4.723 + t^5.141 + t^5.153 - 3*t^6. + 4*t^6.441 + t^6.847 + 3*t^6.859 + 3*t^6.87 + 2*t^7.288 + 2*t^7.299 + t^7.706 + t^7.718 + t^7.729 - 6*t^8.147 - 3*t^8.576 + 5*t^8.588 - t^3.859/y - (2*t^6.006)/y - t^6.435/y + t^7.282/y + t^7.294/y + (2*t^7.712)/y + (2*t^7.723)/y - (3*t^8.153)/y + (2*t^8.571)/y - (2*t^8.582)/y - t^3.859*y - 2*t^6.006*y - t^6.435*y + t^7.282*y + t^7.294*y + 2*t^7.712*y + 2*t^7.723*y - 3*t^8.153*y + 2*t^8.571*y - 2*t^8.582*y | (2*t^2.147)/g1^5 + t^2.576/g1^6 + g1^6*t^3.424 + 2*g1^4*t^4.282 + (3*t^4.294)/g1^10 + 2*g1^3*t^4.712 + (2*t^4.723)/g1^11 + g1^2*t^5.141 + t^5.153/g1^12 - 3*t^6. + (4*t^6.441)/g1^15 + g1^12*t^6.847 + (3*t^6.859)/g1^2 + (3*t^6.87)/g1^16 + (2*t^7.288)/g1^3 + (2*t^7.299)/g1^17 + g1^10*t^7.706 + t^7.718/g1^4 + t^7.729/g1^18 - (6*t^8.147)/g1^5 - (3*t^8.576)/g1^6 + (5*t^8.588)/g1^20 - t^3.859/(g1^2*y) - (2*t^6.006)/(g1^7*y) - t^6.435/(g1^8*y) + (g1^4*t^7.282)/y + t^7.294/(g1^10*y) + (2*g1^3*t^7.712)/y + (2*t^7.723)/(g1^11*y) - (3*t^8.153)/(g1^12*y) + (2*g1*t^8.571)/y - (2*t^8.582)/(g1^13*y) - (t^3.859*y)/g1^2 - (2*t^6.006*y)/g1^7 - (t^6.435*y)/g1^8 + g1^4*t^7.282*y + (t^7.294*y)/g1^10 + 2*g1^3*t^7.712*y + (2*t^7.723*y)/g1^11 - (3*t^8.153*y)/g1^12 + 2*g1*t^8.571*y - (2*t^8.582*y)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
3240 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{3}M_{5}$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.9032, 0.7527, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | 2*t^2.258 + 2*t^3.29 + 2*t^4.194 + 3*t^4.516 + 2*t^4.645 + t^5.097 + 2*t^5.548 - 4*t^6. - t^3.903/y - t^3.903*y | detail | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 28/31, M4: 70/93, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |
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 |
---|---|---|---|---|---|---|---|---|---|
1721 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6895 | 0.8748 | 0.7882 | [M:[0.692, 0.7027, 0.6884, 0.692], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | t^2.065 + 2*t^2.076 + t^2.087 + t^2.108 + t^2.87 + 2*t^3.903 + t^3.913 + t^4.13 + 2*t^4.141 + 4*t^4.152 + 2*t^4.163 + 2*t^4.173 + 2*t^4.184 + t^4.195 + t^4.216 + t^4.935 + 2*t^4.946 + 2*t^4.957 + t^4.978 + t^5.74 + 2*t^5.968 + 4*t^5.978 + 2*t^5.989 - 2*t^6. - t^4.043/y - t^4.043*y | detail |