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 |
---|---|---|---|---|---|---|---|---|---|
3566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6171 | 0.7931 | 0.7781 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7557, 0.8571], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [2], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.143 + t^2.267 + 2*t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 5*t^4.714 + 2*t^4.839 + 5*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 2*t^5.571 + 3*t^5.696 + t^5.82 + t^5.876 - 2*t^6. + 2*t^6.124 + t^6.249 + 3*t^6.429 + 3*t^6.553 + t^6.609 + 3*t^6.677 - t^6.733 + t^6.801 + 5*t^6.857 + 3*t^6.981 + 3*t^7.106 - 2*t^7.161 + 8*t^7.286 + 7*t^7.41 + 3*t^7.534 + 2*t^7.59 + t^7.659 + 7*t^7.714 + 7*t^7.839 + 3*t^7.963 + 2*t^8.019 + t^8.087 - 4*t^8.143 + 3*t^8.267 + 4*t^8.391 + t^8.516 - 2*t^8.571 + 4*t^8.696 + 2*t^8.751 + 6*t^8.82 - 3*t^8.876 + 3*t^8.944 - t^4.286/y - t^6.429/y - t^6.553/y - (2*t^6.857)/y + t^7.286/y + (2*t^7.41)/y + (6*t^7.714)/y + (2*t^7.839)/y + t^8.019/y + (4*t^8.143)/y + (3*t^8.267)/y + t^8.391/y + (2*t^8.447)/y + (2*t^8.571)/y + (3*t^8.696)/y + (2*t^8.876)/y - t^4.286*y - t^6.429*y - t^6.553*y - 2*t^6.857*y + t^7.286*y + 2*t^7.41*y + 6*t^7.714*y + 2*t^7.839*y + t^8.019*y + 4*t^8.143*y + 3*t^8.267*y + t^8.391*y + 2*t^8.447*y + 2*t^8.571*y + 3*t^8.696*y + 2*t^8.876*y | 2*t^2.143 + g1^2*t^2.267 + 2*t^2.571 + t^3. + g1^2*t^3.124 + t^3.304/g1^2 + g1^2*t^3.553 + 3*t^4.286 + 2*g1^2*t^4.41 + g1^4*t^4.534 + 5*t^4.714 + 2*g1^2*t^4.839 + 5*t^5.143 + 3*g1^2*t^5.267 + g1^4*t^5.391 + (2*t^5.447)/g1^2 + 2*t^5.571 + 3*g1^2*t^5.696 + g1^4*t^5.82 + t^5.876/g1^2 - 2*t^6. + 2*g1^2*t^6.124 + g1^4*t^6.249 + 3*t^6.429 + 3*g1^2*t^6.553 + t^6.609/g1^4 + 3*g1^4*t^6.677 - t^6.733/g1^2 + g1^6*t^6.801 + 5*t^6.857 + 3*g1^2*t^6.981 + 3*g1^4*t^7.106 - (2*t^7.161)/g1^2 + 8*t^7.286 + 7*g1^2*t^7.41 + 3*g1^4*t^7.534 + (2*t^7.59)/g1^2 + g1^6*t^7.659 + 7*t^7.714 + 7*g1^2*t^7.839 + 3*g1^4*t^7.963 + (2*t^8.019)/g1^2 + g1^6*t^8.087 - 4*t^8.143 + 3*g1^2*t^8.267 + 4*g1^4*t^8.391 + g1^6*t^8.516 - 2*t^8.571 + 4*g1^2*t^8.696 + (2*t^8.751)/g1^4 + 6*g1^4*t^8.82 - (3*t^8.876)/g1^2 + 3*g1^6*t^8.944 - t^4.286/y - t^6.429/y - (g1^2*t^6.553)/y - (2*t^6.857)/y + t^7.286/y + (2*g1^2*t^7.41)/y + (6*t^7.714)/y + (2*g1^2*t^7.839)/y + t^8.019/(g1^2*y) + (4*t^8.143)/y + (3*g1^2*t^8.267)/y + (g1^4*t^8.391)/y + (2*t^8.447)/(g1^2*y) + (2*t^8.571)/y + (3*g1^2*t^8.696)/y + (2*t^8.876)/(g1^2*y) - t^4.286*y - t^6.429*y - g1^2*t^6.553*y - 2*t^6.857*y + t^7.286*y + 2*g1^2*t^7.41*y + 6*t^7.714*y + 2*g1^2*t^7.839*y + (t^8.019*y)/g1^2 + 4*t^8.143*y + 3*g1^2*t^8.267*y + g1^4*t^8.391*y + (2*t^8.447*y)/g1^2 + 2*t^8.571*y + 3*g1^2*t^8.696*y + (2*t^8.876*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
5257 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6163 | 0.7904 | 0.7797 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.143 + t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.643 + 3*t^4.286 + 2*t^4.5 + 6*t^4.714 + 2*t^4.929 + 5*t^5.143 + 5*t^5.357 + 3*t^5.571 + 4*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 7731/12544, c: 9915/12544, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
5261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6336 | 0.8211 | 0.7717 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 0.8571, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.143 + 2*t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + 3*t^4.286 + 4*t^4.5 + 8*t^4.714 + 4*t^4.929 + 5*t^5.143 + 6*t^5.357 + 5*t^5.571 + 2*t^5.786 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 27819/43904, c: 36051/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 6/7, M8: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, 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 |
---|---|---|---|---|---|---|---|---|---|
2967 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6046 | 0.7716 | 0.7835 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | 2*t^2.143 + t^2.267 + t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.429 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 3*t^4.714 + t^4.839 + 3*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 3*t^5.571 + 3*t^5.696 + t^5.82 - t^6. - t^4.286/y - t^4.286*y | detail |