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 |
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524 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5648 | 0.7053 | 0.8008 | [M:[1.0, 1.1009, 0.7982, 1.1009], q:[0.7752, 0.2248], qb:[0.6743, 0.5275], phi:[0.4495]] | [M:[[0], [4], [-8], [4]], q:[[1], [-1]], qb:[[-3], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}q_{2}\tilde{q}_{1}$ | -1 | t^2.257 + t^2.394 + t^2.697 + t^3. + 2*t^3.303 + t^3.606 + t^3.908 + t^4.046 + t^4.349 + 2*t^4.514 + t^4.789 + 2*t^4.954 + t^5.257 + 3*t^5.394 + t^5.56 + 2*t^5.697 + t^5.862 - t^6. + t^6.165 + 3*t^6.303 - t^6.44 + 3*t^6.606 + t^6.743 + 2*t^6.771 + t^6.908 + t^7.183 + 4*t^7.211 - t^7.349 + 2*t^7.514 + 2*t^7.651 + t^7.789 + 3*t^7.817 + t^7.954 + 3*t^8.092 + 2*t^8.119 - t^8.257 - t^8.394 + 2*t^8.422 + 2*t^8.56 - t^8.697 + 2*t^8.862 - t^4.349/y - t^6.743/y + t^7.046/y + (2*t^7.954)/y + t^8.092/y + t^8.257/y + t^8.394/y + (2*t^8.56)/y + (3*t^8.697)/y + t^8.862/y - t^4.349*y - t^6.743*y + t^7.046*y + 2*t^7.954*y + t^8.092*y + t^8.257*y + t^8.394*y + 2*t^8.56*y + 3*t^8.697*y + t^8.862*y | g1^10*t^2.257 + t^2.394/g1^8 + t^2.697/g1^4 + t^3. + 2*g1^4*t^3.303 + g1^8*t^3.606 + g1^12*t^3.908 + t^4.046/g1^6 + t^4.349/g1^2 + 2*g1^20*t^4.514 + t^4.789/g1^16 + 2*g1^6*t^4.954 + g1^10*t^5.257 + (3*t^5.394)/g1^8 + g1^14*t^5.56 + (2*t^5.697)/g1^4 + g1^18*t^5.862 - t^6. + g1^22*t^6.165 + 3*g1^4*t^6.303 - t^6.44/g1^14 + 3*g1^8*t^6.606 + t^6.743/g1^10 + 2*g1^30*t^6.771 + g1^12*t^6.908 + t^7.183/g1^24 + 4*g1^16*t^7.211 - t^7.349/g1^2 + 2*g1^20*t^7.514 + 2*g1^2*t^7.651 + t^7.789/g1^16 + 3*g1^24*t^7.817 + g1^6*t^7.954 + (3*t^8.092)/g1^12 + 2*g1^28*t^8.119 - g1^10*t^8.257 - t^8.394/g1^8 + 2*g1^32*t^8.422 + 2*g1^14*t^8.56 - t^8.697/g1^4 + 2*g1^18*t^8.862 - t^4.349/(g1^2*y) - t^6.743/(g1^10*y) + t^7.046/(g1^6*y) + (2*g1^6*t^7.954)/y + t^8.092/(g1^12*y) + (g1^10*t^8.257)/y + t^8.394/(g1^8*y) + (2*g1^14*t^8.56)/y + (3*t^8.697)/(g1^4*y) + (g1^18*t^8.862)/y - (t^4.349*y)/g1^2 - (t^6.743*y)/g1^10 + (t^7.046*y)/g1^6 + 2*g1^6*t^7.954*y + (t^8.092*y)/g1^12 + g1^10*t^8.257*y + (t^8.394*y)/g1^8 + 2*g1^14*t^8.56*y + (3*t^8.697*y)/g1^4 + g1^18*t^8.862*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 |
---|---|---|---|---|---|---|---|---|
817 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.564 | 0.7029 | 0.8024 | [M:[1.0, 1.1111, 0.7778, 1.1111], q:[0.7778, 0.2222], qb:[0.6667, 0.5556], phi:[0.4444]] | 2*t^2.333 + t^2.667 + t^3. + 2*t^3.333 + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 2*t^5. + 4*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 731/1296, c: 911/1296, M1: 1, M2: 10/9, M3: 7/9, M4: 10/9, q1: 7/9, q2: 2/9, qb1: 2/3, qb2: 5/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
333 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | 2*t^2.293 + t^2.884 + t^3. + 2*t^3.058 + 2*t^3.764 + 2*t^3.822 + 6*t^4.587 + 2*t^5.293 + 4*t^5.351 + t^5.769 + t^5.884 + t^5.942 - 5*t^6. - t^4.471/y - t^4.471*y | detail |