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 |
---|---|---|---|---|---|---|---|---|---|
3333 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5969 | 0.755 | 0.7906 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571, 0.7557], q:[0.3364, 0.6636], qb:[0.3779, 0.9079], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [-2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}$ | -1 | t^2.143 + t^2.267 + 2*t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.553 + t^3.857 + t^4.286 + t^4.41 + t^4.534 + 3*t^4.714 + 2*t^4.839 + 4*t^5.143 + 2*t^5.267 + t^5.391 + t^5.447 + 2*t^5.571 + 2*t^5.696 + t^5.82 + t^5.876 - t^6. + 3*t^6.124 + t^6.249 + 2*t^6.429 + t^6.553 + t^6.609 + 2*t^6.677 - t^6.733 + t^6.801 + t^6.857 + 2*t^6.981 + 3*t^7.106 - t^7.161 + 3*t^7.286 + 5*t^7.41 + 2*t^7.534 + t^7.659 + 6*t^7.714 + 4*t^7.839 + 2*t^7.963 + t^8.019 + t^8.087 - t^8.143 + 2*t^8.267 + 4*t^8.391 + t^8.516 - 2*t^8.571 + 3*t^8.696 + t^8.751 + 3*t^8.82 - 2*t^8.876 + 2*t^8.944 - t^4.286/y - t^6.553/y - (2*t^6.857)/y + t^7.41/y + (4*t^7.714)/y + (2*t^7.839)/y + t^8.019/y + (2*t^8.143)/y + (2*t^8.267)/y + t^8.391/y + t^8.447/y + (3*t^8.571)/y + (3*t^8.696)/y + (2*t^8.876)/y - t^4.286*y - t^6.553*y - 2*t^6.857*y + t^7.41*y + 4*t^7.714*y + 2*t^7.839*y + t^8.019*y + 2*t^8.143*y + 2*t^8.267*y + t^8.391*y + t^8.447*y + 3*t^8.571*y + 3*t^8.696*y + 2*t^8.876*y | t^2.143 + t^2.267/g1^2 + 2*t^2.571 + t^3. + t^3.124/g1^2 + g1^2*t^3.304 + t^3.553/g1^2 + t^3.857 + t^4.286 + t^4.41/g1^2 + t^4.534/g1^4 + 3*t^4.714 + (2*t^4.839)/g1^2 + 4*t^5.143 + (2*t^5.267)/g1^2 + t^5.391/g1^4 + g1^2*t^5.447 + 2*t^5.571 + (2*t^5.696)/g1^2 + t^5.82/g1^4 + g1^2*t^5.876 - t^6. + (3*t^6.124)/g1^2 + t^6.249/g1^4 + 2*t^6.429 + t^6.553/g1^2 + g1^4*t^6.609 + (2*t^6.677)/g1^4 - g1^2*t^6.733 + t^6.801/g1^6 + t^6.857 + (2*t^6.981)/g1^2 + (3*t^7.106)/g1^4 - g1^2*t^7.161 + 3*t^7.286 + (5*t^7.41)/g1^2 + (2*t^7.534)/g1^4 + t^7.659/g1^6 + 6*t^7.714 + (4*t^7.839)/g1^2 + (2*t^7.963)/g1^4 + g1^2*t^8.019 + t^8.087/g1^6 - t^8.143 + (2*t^8.267)/g1^2 + (4*t^8.391)/g1^4 + t^8.516/g1^6 - 2*t^8.571 + (3*t^8.696)/g1^2 + g1^4*t^8.751 + (3*t^8.82)/g1^4 - 2*g1^2*t^8.876 + (2*t^8.944)/g1^6 - t^4.286/y - t^6.553/(g1^2*y) - (2*t^6.857)/y + t^7.41/(g1^2*y) + (4*t^7.714)/y + (2*t^7.839)/(g1^2*y) + (g1^2*t^8.019)/y + (2*t^8.143)/y + (2*t^8.267)/(g1^2*y) + t^8.391/(g1^4*y) + (g1^2*t^8.447)/y + (3*t^8.571)/y + (3*t^8.696)/(g1^2*y) + (2*g1^2*t^8.876)/y - t^4.286*y - (t^6.553*y)/g1^2 - 2*t^6.857*y + (t^7.41*y)/g1^2 + 4*t^7.714*y + (2*t^7.839*y)/g1^2 + g1^2*t^8.019*y + 2*t^8.143*y + (2*t^8.267*y)/g1^2 + (t^8.391*y)/g1^4 + g1^2*t^8.447*y + 3*t^8.571*y + (3*t^8.696*y)/g1^2 + 2*g1^2*t^8.876*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 |
---|---|---|---|---|---|---|---|---|
3775 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5961 | 0.7523 | 0.7923 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.643 + t^3.857 + t^4.286 + t^4.5 + 4*t^4.714 + 2*t^4.929 + 4*t^5.143 + 3*t^5.357 + 3*t^5.571 + 3*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 52341/87808, c: 66061/87808, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 6/7, M6: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
3770 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6134 | 0.783 | 0.7834 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571, 0.7857, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + 2*t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.857 + t^4.286 + 2*t^4.5 + 6*t^4.714 + 4*t^4.929 + 4*t^5.143 + 4*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 26931/43904, c: 34379/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 6/7, M6: 11/14, M7: 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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2809 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5788 | 0.7216 | 0.802 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + 2*t^2.571 + t^3. + 2*t^3.214 + 2*t^3.643 + t^3.857 + t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.357 + t^5.571 + 4*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 1815/3136, c: 2263/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |