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 |
---|---|---|---|---|---|---|---|---|---|
55207 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6992 | 0.9211 | 0.7591 | [M:[1.1122, 0.7756, 0.7756, 0.8878, 0.7244, 0.6733], q:[0.75, 0.4744], qb:[0.3622, 0.4134], phi:[0.5]] | [M:[[-1], [2], [2], [1], [-2], [-6]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{4}$ | -1 | t^2.02 + t^2.173 + 3*t^2.327 + t^2.51 + t^2.663 + t^3. + t^3.337 + t^3.49 + t^4.01 + t^4.04 + t^4.163 + t^4.193 + 5*t^4.347 + 3*t^4.5 + t^4.53 + 6*t^4.653 + 2*t^4.683 + 4*t^4.837 + 3*t^4.99 + 2*t^5.02 + 2*t^5.173 + 4*t^5.327 + t^5.356 + 3*t^5.51 + 4*t^5.663 + 2*t^5.817 - t^6. + t^6.03 + t^6.06 + t^6.183 + t^6.213 + 2*t^6.337 + 5*t^6.366 + 2*t^6.49 + 6*t^6.52 + t^6.55 + 12*t^6.673 + 2*t^6.703 + 6*t^6.827 + 6*t^6.856 + 10*t^6.98 + 7*t^7.01 + 2*t^7.04 + 6*t^7.163 + 3*t^7.193 + 4*t^7.317 + 8*t^7.347 + t^7.376 + 5*t^7.5 + 4*t^7.53 + 7*t^7.653 + 6*t^7.683 + 7*t^7.837 + 7*t^7.99 + t^8.05 + t^8.079 + 3*t^8.144 - 2*t^8.173 + t^8.203 + t^8.233 - 4*t^8.327 + 3*t^8.356 + 5*t^8.386 - t^8.48 + 6*t^8.54 + t^8.569 - t^8.663 + 15*t^8.693 + 2*t^8.723 + 2*t^8.817 + 11*t^8.847 + 6*t^8.876 - t^4.5/y - t^6.52/y - t^6.673/y - (2*t^6.827)/y + t^7.193/y + (3*t^7.347)/y + (3*t^7.5)/y + t^7.53/y + (3*t^7.653)/y + (2*t^7.683)/y + (4*t^7.837)/y + (3*t^7.99)/y + t^8.02/y + (4*t^8.173)/y + (4*t^8.327)/y + t^8.356/y + t^8.48/y + (3*t^8.51)/y - t^8.54/y + (5*t^8.663)/y - t^8.693/y + (3*t^8.817)/y - (2*t^8.847)/y - t^4.5*y - t^6.52*y - t^6.673*y - 2*t^6.827*y + t^7.193*y + 3*t^7.347*y + 3*t^7.5*y + t^7.53*y + 3*t^7.653*y + 2*t^7.683*y + 4*t^7.837*y + 3*t^7.99*y + t^8.02*y + 4*t^8.173*y + 4*t^8.327*y + t^8.356*y + t^8.48*y + 3*t^8.51*y - t^8.54*y + 5*t^8.663*y - t^8.693*y + 3*t^8.817*y - 2*t^8.847*y | t^2.02/g1^6 + t^2.173/g1^2 + 3*g1^2*t^2.327 + t^2.51/g1^3 + g1*t^2.663 + t^3. + t^3.337/g1 + g1^3*t^3.49 + t^4.01/g1^3 + t^4.04/g1^12 + g1*t^4.163 + t^4.193/g1^8 + (5*t^4.347)/g1^4 + 3*t^4.5 + t^4.53/g1^9 + 6*g1^4*t^4.653 + (2*t^4.683)/g1^5 + (4*t^4.837)/g1 + 3*g1^3*t^4.99 + (2*t^5.02)/g1^6 + (2*t^5.173)/g1^2 + 4*g1^2*t^5.327 + t^5.356/g1^7 + (3*t^5.51)/g1^3 + 4*g1*t^5.663 + 2*g1^5*t^5.817 - t^6. + t^6.03/g1^9 + t^6.06/g1^18 + t^6.183/g1^5 + t^6.213/g1^14 + (2*t^6.337)/g1 + (5*t^6.366)/g1^10 + 2*g1^3*t^6.49 + (6*t^6.52)/g1^6 + t^6.55/g1^15 + (12*t^6.673)/g1^2 + (2*t^6.703)/g1^11 + 6*g1^2*t^6.827 + (6*t^6.856)/g1^7 + 10*g1^6*t^6.98 + (7*t^7.01)/g1^3 + (2*t^7.04)/g1^12 + 6*g1*t^7.163 + (3*t^7.193)/g1^8 + 4*g1^5*t^7.317 + (8*t^7.347)/g1^4 + t^7.376/g1^13 + 5*t^7.5 + (4*t^7.53)/g1^9 + 7*g1^4*t^7.653 + (6*t^7.683)/g1^5 + (7*t^7.837)/g1 + 7*g1^3*t^7.99 + t^8.05/g1^15 + t^8.079/g1^24 + 3*g1^7*t^8.144 - (2*t^8.173)/g1^2 + t^8.203/g1^11 + t^8.233/g1^20 - 4*g1^2*t^8.327 + (3*t^8.356)/g1^7 + (5*t^8.386)/g1^16 - g1^6*t^8.48 + (6*t^8.54)/g1^12 + t^8.569/g1^21 - g1*t^8.663 + (15*t^8.693)/g1^8 + (2*t^8.723)/g1^17 + 2*g1^5*t^8.817 + (11*t^8.847)/g1^4 + (6*t^8.876)/g1^13 - t^4.5/y - t^6.52/(g1^6*y) - t^6.673/(g1^2*y) - (2*g1^2*t^6.827)/y + t^7.193/(g1^8*y) + (3*t^7.347)/(g1^4*y) + (3*t^7.5)/y + t^7.53/(g1^9*y) + (3*g1^4*t^7.653)/y + (2*t^7.683)/(g1^5*y) + (4*t^7.837)/(g1*y) + (3*g1^3*t^7.99)/y + t^8.02/(g1^6*y) + (4*t^8.173)/(g1^2*y) + (4*g1^2*t^8.327)/y + t^8.356/(g1^7*y) + (g1^6*t^8.48)/y + (3*t^8.51)/(g1^3*y) - t^8.54/(g1^12*y) + (5*g1*t^8.663)/y - t^8.693/(g1^8*y) + (3*g1^5*t^8.817)/y - (2*t^8.847)/(g1^4*y) - t^4.5*y - (t^6.52*y)/g1^6 - (t^6.673*y)/g1^2 - 2*g1^2*t^6.827*y + (t^7.193*y)/g1^8 + (3*t^7.347*y)/g1^4 + 3*t^7.5*y + (t^7.53*y)/g1^9 + 3*g1^4*t^7.653*y + (2*t^7.683*y)/g1^5 + (4*t^7.837*y)/g1 + 3*g1^3*t^7.99*y + (t^8.02*y)/g1^6 + (4*t^8.173*y)/g1^2 + 4*g1^2*t^8.327*y + (t^8.356*y)/g1^7 + g1^6*t^8.48*y + (3*t^8.51*y)/g1^3 - (t^8.54*y)/g1^12 + 5*g1*t^8.663*y - (t^8.693*y)/g1^8 + 3*g1^5*t^8.817*y - (2*t^8.847*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 |
---|---|---|---|---|---|---|---|---|
56860 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6763 | 0.8906 | 0.7594 | [M:[1.1429, 0.7143, 0.7143, 0.8571, 0.7857, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.143 + t^2.357 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^4.071 + 7*t^4.286 + 3*t^4.5 + 8*t^4.714 + 5*t^4.929 + 7*t^5.143 + 5*t^5.357 + 6*t^5.571 + 3*t^5.786 - t^4.5/y - t^4.5*y | detail | {a: 29691/43904, c: 39099/43904, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 11/14, M6: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, 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 |
---|---|---|---|---|---|---|---|---|---|
47053 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6784 | 0.88 | 0.7709 | [M:[1.1129, 0.7742, 0.7742, 0.8871, 0.7258], q:[0.75, 0.4758], qb:[0.3629, 0.4113], phi:[0.5]] | t^2.177 + 3*t^2.323 + t^2.516 + t^2.661 + t^3. + t^3.339 + t^3.484 + t^3.968 + t^4.016 + t^4.161 + 2*t^4.355 + 3*t^4.5 + 6*t^4.645 + t^4.694 + 4*t^4.839 + 3*t^4.984 + t^5.032 + 2*t^5.177 + 4*t^5.323 + 2*t^5.516 + 4*t^5.661 + 2*t^5.806 - t^6. - t^4.5/y - t^4.5*y | detail |