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 |
---|---|---|---|---|---|---|---|---|---|
46489 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.7011 | 0.8806 | 0.7962 | [M:[0.6816, 1.1061, 0.6816, 0.8939], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | [M:[[-12], [4], [-12], [-4]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.045 + 2*t^2.682 + t^2.933 + t^3. + t^3.637 + t^3.704 + t^4.022 + 4*t^4.089 + t^4.274 + t^4.341 + t^4.592 + 4*t^4.726 + 2*t^4.978 + 2*t^5.045 + 3*t^5.363 + 2*t^5.615 + 3*t^5.682 + t^5.749 + t^5.866 - 2*t^6. + t^6.067 + 6*t^6.134 - t^6.251 + 2*t^6.318 + 3*t^6.385 + t^6.57 + 2*t^6.637 + 2*t^6.704 + 8*t^6.771 + t^6.955 + 4*t^7.022 + 3*t^7.089 + t^7.207 + 2*t^7.274 - t^7.341 + 5*t^7.408 + t^7.525 - t^7.592 + 2*t^7.659 + 6*t^7.726 + 2*t^7.793 + t^7.911 + 2*t^8.112 + 9*t^8.179 + 4*t^8.363 + 4*t^8.43 + 2*t^8.547 + t^8.615 - 2*t^8.682 + 2*t^8.749 + t^8.799 + 12*t^8.816 + t^8.866 - 4*t^8.933 - t^4.341/y - (2*t^6.385)/y - t^7.022/y + t^7.089/y + t^7.659/y + (4*t^7.726)/y + (2*t^7.978)/y + (2*t^8.045)/y + (2*t^8.296)/y + t^8.363/y - (3*t^8.43)/y + (2*t^8.615)/y + (4*t^8.682)/y + (2*t^8.749)/y + t^8.933/y - t^4.341*y - 2*t^6.385*y - t^7.022*y + t^7.089*y + t^7.659*y + 4*t^7.726*y + 2*t^7.978*y + 2*t^8.045*y + 2*t^8.296*y + t^8.363*y - 3*t^8.43*y + 2*t^8.615*y + 4*t^8.682*y + 2*t^8.749*y + t^8.933*y | (2*t^2.045)/g1^12 + (2*t^2.682)/g1^4 + g1^18*t^2.933 + t^3. + g1^8*t^3.637 + t^3.704/g1^10 + t^4.022/g1^6 + (4*t^4.089)/g1^24 + g1^16*t^4.274 + t^4.341/g1^2 + g1^20*t^4.592 + (4*t^4.726)/g1^16 + 2*g1^6*t^4.978 + (2*t^5.045)/g1^12 + (3*t^5.363)/g1^8 + 2*g1^14*t^5.615 + (3*t^5.682)/g1^4 + t^5.749/g1^22 + g1^36*t^5.866 - 2*t^6. + t^6.067/g1^18 + (6*t^6.134)/g1^36 - g1^22*t^6.251 + 2*g1^4*t^6.318 + (3*t^6.385)/g1^14 + g1^26*t^6.57 + 2*g1^8*t^6.637 + (2*t^6.704)/g1^10 + (8*t^6.771)/g1^28 + g1^12*t^6.955 + (4*t^7.022)/g1^6 + (3*t^7.089)/g1^24 + g1^34*t^7.207 + 2*g1^16*t^7.274 - t^7.341/g1^2 + (5*t^7.408)/g1^20 + g1^38*t^7.525 - g1^20*t^7.592 + 2*g1^2*t^7.659 + (6*t^7.726)/g1^16 + (2*t^7.793)/g1^34 + g1^24*t^7.911 + (2*t^8.112)/g1^30 + (9*t^8.179)/g1^48 + (4*t^8.363)/g1^8 + (4*t^8.43)/g1^26 + 2*g1^32*t^8.547 + g1^14*t^8.615 - (2*t^8.682)/g1^4 + (2*t^8.749)/g1^22 + g1^54*t^8.799 + (12*t^8.816)/g1^40 + g1^36*t^8.866 - 4*g1^18*t^8.933 - t^4.341/(g1^2*y) - (2*t^6.385)/(g1^14*y) - t^7.022/(g1^6*y) + t^7.089/(g1^24*y) + (g1^2*t^7.659)/y + (4*t^7.726)/(g1^16*y) + (2*g1^6*t^7.978)/y + (2*t^8.045)/(g1^12*y) + (2*g1^10*t^8.296)/y + t^8.363/(g1^8*y) - (3*t^8.43)/(g1^26*y) + (2*g1^14*t^8.615)/y + (4*t^8.682)/(g1^4*y) + (2*t^8.749)/(g1^22*y) + (g1^18*t^8.933)/y - (t^4.341*y)/g1^2 - (2*t^6.385*y)/g1^14 - (t^7.022*y)/g1^6 + (t^7.089*y)/g1^24 + g1^2*t^7.659*y + (4*t^7.726*y)/g1^16 + 2*g1^6*t^7.978*y + (2*t^8.045*y)/g1^12 + 2*g1^10*t^8.296*y + (t^8.363*y)/g1^8 - (3*t^8.43*y)/g1^26 + 2*g1^14*t^8.615*y + (4*t^8.682*y)/g1^4 + (2*t^8.749*y)/g1^22 + g1^18*t^8.933*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 |
---|---|---|---|---|---|---|---|---|
47040 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6963 | 0.8725 | 0.7981 | [M:[0.7273, 1.0909, 0.7273, 0.9091], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.182 + 3*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + 6*t^4.364 + 6*t^4.909 + 2*t^5.182 + 6*t^5.455 + 3*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 14829/21296, c: 4645/5324, M1: 8/11, M2: 12/11, M3: 8/11, M4: 10/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
46165 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | 2*t^2.063 + t^2.688 + t^2.906 + t^3. + t^3.312 + t^3.625 + t^3.719 + t^4.031 + 4*t^4.126 + t^4.249 + t^4.344 + t^4.562 + 2*t^4.751 + 2*t^4.969 + 2*t^5.063 + 3*t^5.375 + t^5.593 + 2*t^5.688 + t^5.782 + t^5.811 - t^6. - t^4.344/y - t^4.344*y | detail |