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 |
---|---|---|---|---|---|---|---|---|---|
4499 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}^{2}$ + ${ }M_{3}X_{1}$ | 0.6319 | 0.7837 | 0.8063 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 867/1372, c: 4301/5488, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$ | 0 | t^2.143 + 2*t^2.571 + 3*t^3. + 2*t^3.857 + 4*t^4.286 + t^4.714 + 7*t^5.143 + 7*t^5.571 + 4*t^6.429 + 7*t^6.857 + 5*t^7.286 + 9*t^7.714 + 13*t^8.143 + 4*t^8.571 - t^4.286/y - t^6.429/y - t^6.857/y + (3*t^7.714)/y + (5*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y - t^6.857*y + 3*t^7.714*y + 5*t^8.143*y + 5*t^8.571*y | t^2.143 + 2*t^2.571 + 3*t^3. + 2*t^3.857 + 4*t^4.286 + t^4.714 + 7*t^5.143 + 7*t^5.571 + 4*t^6.429 + 7*t^6.857 + 5*t^7.286 + 9*t^7.714 + 13*t^8.143 + 4*t^8.571 - t^4.286/y - t^6.429/y - t^6.857/y + (3*t^7.714)/y + (5*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y - t^6.857*y + 3*t^7.714*y + 5*t^8.143*y + 5*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
6005 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6522 | 0.8218 | 0.7936 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571, 0.7143], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]] | 2*t^2.143 + 2*t^2.571 + 3*t^3. + t^3.857 + 6*t^4.286 + 3*t^4.714 + 10*t^5.143 + 7*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 3579/5488, c: 2255/2744, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, M8: 5/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
2460 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.7338 | 0.918 | 0.7994 | [M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]] | t^2.056 + t^2.523 + t^2.682 + 2*t^2.841 + 2*t^3. + t^3.318 + t^4.112 + t^4.262 + 2*t^4.421 + 2*t^4.579 + 3*t^4.738 + 5*t^4.897 + t^5.047 + 2*t^5.056 + t^5.206 + 3*t^5.365 + t^5.374 + 2*t^5.523 + 4*t^5.682 + 3*t^5.841 - 2*t^6. - t^4.421/y - t^4.421*y | detail |