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 |
---|---|---|---|---|---|---|---|---|---|
5328 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{8}$ | 0.6037 | 0.7545 | 0.8 | [X:[1.4139], M:[0.5861, 1.0139, 0.7723, 0.8277, 1.2, 0.8, 0.9861, 0.9861], q:[0.9208, 0.4931], qb:[0.3069, 0.6792], phi:[0.4]] | [X:[[2]], M:[[-2], [2], [-4], [4], [0], [0], [-2], [-2]], q:[[3], [-1]], qb:[[1], [-3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.317 + 2*t^2.4 + t^2.483 + 2*t^2.958 + t^3.6 + t^4.158 + t^4.242 + t^4.634 + 2*t^4.717 + 5*t^4.8 + 2*t^4.883 + t^4.966 + 2*t^5.275 + 3*t^5.358 + t^5.442 + 3*t^5.917 - t^6. + t^6.475 + 2*t^6.558 + t^6.725 + t^6.95 + 2*t^7.034 + 5*t^7.117 + 6*t^7.2 + 3*t^7.283 + 2*t^7.366 + t^7.45 + 2*t^7.592 + 3*t^7.675 + 5*t^7.758 - t^7.842 + t^7.925 + 3*t^8.234 + t^8.317 - 2*t^8.4 - 3*t^8.483 + t^8.792 + 4*t^8.875 - 3*t^8.958 - t^4.2/y - t^6.517/y - t^6.6/y - t^6.683/y - t^7.158/y + t^7.242/y + (3*t^7.717)/y + (3*t^7.8)/y + (3*t^7.883)/y + (2*t^8.275)/y + (4*t^8.358)/y + (2*t^8.442)/y - t^8.834/y + t^8.917/y - t^4.2*y - t^6.517*y - t^6.6*y - t^6.683*y - t^7.158*y + t^7.242*y + 3*t^7.717*y + 3*t^7.8*y + 3*t^7.883*y + 2*t^8.275*y + 4*t^8.358*y + 2*t^8.442*y - t^8.834*y + t^8.917*y | t^2.317/g1^4 + 2*t^2.4 + g1^4*t^2.483 + (2*t^2.958)/g1^2 + t^3.6 + t^4.158/g1^2 + g1^2*t^4.242 + t^4.634/g1^8 + (2*t^4.717)/g1^4 + 5*t^4.8 + 2*g1^4*t^4.883 + g1^8*t^4.966 + (2*t^5.275)/g1^6 + (3*t^5.358)/g1^2 + g1^2*t^5.442 + (3*t^5.917)/g1^4 - t^6. + t^6.475/g1^6 + (2*t^6.558)/g1^2 + g1^6*t^6.725 + t^6.95/g1^12 + (2*t^7.034)/g1^8 + (5*t^7.117)/g1^4 + 6*t^7.2 + 3*g1^4*t^7.283 + 2*g1^8*t^7.366 + g1^12*t^7.45 + (2*t^7.592)/g1^10 + (3*t^7.675)/g1^6 + (5*t^7.758)/g1^2 - g1^2*t^7.842 + g1^6*t^7.925 + (3*t^8.234)/g1^8 + t^8.317/g1^4 - 2*t^8.4 - 3*g1^4*t^8.483 + t^8.792/g1^10 + (4*t^8.875)/g1^6 - (3*t^8.958)/g1^2 - t^4.2/y - t^6.517/(g1^4*y) - t^6.6/y - (g1^4*t^6.683)/y - t^7.158/(g1^2*y) + (g1^2*t^7.242)/y + (3*t^7.717)/(g1^4*y) + (3*t^7.8)/y + (3*g1^4*t^7.883)/y + (2*t^8.275)/(g1^6*y) + (4*t^8.358)/(g1^2*y) + (2*g1^2*t^8.442)/y - t^8.834/(g1^8*y) + t^8.917/(g1^4*y) - t^4.2*y - (t^6.517*y)/g1^4 - t^6.6*y - g1^4*t^6.683*y - (t^7.158*y)/g1^2 + g1^2*t^7.242*y + (3*t^7.717*y)/g1^4 + 3*t^7.8*y + 3*g1^4*t^7.883*y + (2*t^8.275*y)/g1^6 + (4*t^8.358*y)/g1^2 + 2*g1^2*t^8.442*y - (t^8.834*y)/g1^8 + (t^8.917*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6847 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6202 | 0.7835 | 0.7915 | [X:[1.4139], M:[0.5861, 1.0139, 0.7723, 0.8277, 1.2, 0.8, 0.9861, 0.9861, 0.8], q:[0.9208, 0.4931], qb:[0.3069, 0.6792], phi:[0.4]] | t^2.317 + 3*t^2.4 + t^2.483 + 2*t^2.958 + t^4.158 + t^4.242 + t^4.634 + 3*t^4.717 + 8*t^4.8 + 3*t^4.883 + t^4.966 + 2*t^5.275 + 5*t^5.358 + t^5.442 + 2*t^5.917 - 3*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
3620 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ | 0.603 | 0.753 | 0.8008 | [X:[1.4], M:[0.6, 1.0, 0.8, 0.8, 1.2, 0.8, 1.0], q:[0.9, 0.5], qb:[0.3, 0.7], phi:[0.4]] | 4*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 603/1000, c: 753/1000, X1: 7/5, M1: 3/5, M2: 1, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, M7: 1, q1: 9/10, q2: 1/2, qb1: 3/10, qb2: 7/10, phi1: 2/5} |