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 |
---|---|---|---|---|---|---|---|---|---|
1566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}M_{6}$ | 0.6949 | 0.8559 | 0.8119 | [M:[1.038, 0.962, 0.962, 1.038, 0.962, 0.962], q:[0.481, 0.481], qb:[0.557, 0.481], phi:[0.5]] | [M:[[-2], [2], [2], [-2], [2], [2]], q:[[1], [1]], qb:[[-3], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -5 | 5*t^2.886 + t^3. + t^3.114 + 6*t^4.386 + 3*t^4.614 + t^4.842 + 12*t^5.772 + 5*t^5.886 - 5*t^6. + t^6.114 - 2*t^6.228 + 24*t^7.272 + 3*t^7.5 + 2*t^7.728 + t^7.956 + 22*t^8.658 + 27*t^8.772 - 32*t^8.886 - t^4.5/y - (2*t^7.386)/y + (2*t^7.614)/y + (10*t^8.772)/y + (5*t^8.886)/y - t^4.5*y - 2*t^7.386*y + 2*t^7.614*y + 10*t^8.772*y + 5*t^8.886*y | 5*g1^2*t^2.886 + t^3. + t^3.114/g1^2 + 6*g1^2*t^4.386 + (3*t^4.614)/g1^2 + t^4.842/g1^6 + 12*g1^4*t^5.772 + 5*g1^2*t^5.886 - 5*t^6. + t^6.114/g1^2 - (2*t^6.228)/g1^4 + 24*g1^4*t^7.272 + 3*t^7.5 + (2*t^7.728)/g1^4 + t^7.956/g1^8 + 22*g1^6*t^8.658 + 27*g1^4*t^8.772 - 32*g1^2*t^8.886 - t^4.5/y - (2*g1^2*t^7.386)/y + (2*t^7.614)/(g1^2*y) + (10*g1^4*t^8.772)/y + (5*g1^2*t^8.886)/y - t^4.5*y - 2*g1^2*t^7.386*y + (2*t^7.614*y)/g1^2 + 10*g1^4*t^8.772*y + 5*g1^2*t^8.886*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 |
---|---|---|---|---|---|---|---|---|
2687 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6994 | 0.8663 | 0.8073 | [M:[1.0572, 0.9428, 0.9428, 1.0572, 0.9428, 0.9428, 0.9428], q:[0.4714, 0.4714], qb:[0.5858, 0.4714], phi:[0.5]] | 6*t^2.828 + t^3. + 6*t^4.328 + 3*t^4.672 + t^5.015 + 18*t^5.657 + 6*t^5.828 - 10*t^6. - t^4.5/y - t^4.5*y | detail | |
2694 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6576 | 0.8346 | 0.7878 | [M:[1.1667, 0.8333, 0.8333, 1.1667, 0.8333, 0.8333], q:[0.4167, 0.4167], qb:[0.75, 0.4167], phi:[0.5]] | 5*t^2.5 + t^3. + t^3.5 + 6*t^4. + 15*t^5. + 5*t^5.5 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 505/768, c: 641/768, M1: 7/6, M2: 5/6, M3: 5/6, M4: 7/6, M5: 5/6, M6: 5/6, q1: 5/12, q2: 5/12, qb1: 3/4, qb2: 5/12, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
991 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{4}$ | 0.6923 | 0.8497 | 0.8147 | [M:[1.0188, 0.9812, 0.9812, 1.0188, 0.9812], q:[0.4906, 0.4906], qb:[0.5282, 0.4906], phi:[0.5]] | 4*t^2.944 + t^3. + 2*t^3.056 + 6*t^4.444 + 3*t^4.556 + t^4.669 + 7*t^5.887 + 4*t^5.944 - 2*t^6. - t^4.5/y - t^4.5*y | detail |