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 |
---|---|---|---|---|---|---|---|---|---|
57725 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3 | 1.4599 | 0.8905 | [X:[1.407], M:[], q:[0.3082, 0.7152], qb:[0.6918, 0.5058], phi:[0.2965]] | [X:[[6]], M:[], q:[[7], [13]], qb:[[-7], [5]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$ | 0 | t^2.44 + t^2.67 + t^3. + t^3.33 + t^3.66 + t^3.89 + 3*t^4.22 + t^4.55 + 2*t^4.88 + 2*t^5.11 + t^5.34 + 2*t^5.44 + 2*t^5.77 + 2*t^6.11 + 2*t^6.33 + 5*t^6.66 + 2*t^6.89 + 2*t^6.99 + 3*t^7.22 + 3*t^7.33 - t^7.45 + 5*t^7.55 + 2*t^7.78 + 6*t^7.88 + t^8.01 + 2*t^8.11 + 4*t^8.22 - t^8.34 + 5*t^8.44 + 3*t^8.55 - t^8.67 + 7*t^8.77 + t^8.67/y^2 - t^3.89/y - t^4.78/y - t^6.33/y - t^6.56/y - t^6.89/y - t^7.22/y - t^7.45/y - t^7.55/y - t^7.78/y - t^8.11/y + t^8.67/y - t^3.89*y - t^4.78*y - t^6.33*y - t^6.56*y - t^6.89*y - t^7.22*y - t^7.45*y - t^7.55*y - t^7.78*y - t^8.11*y + t^8.67*y + t^8.67*y^2 | g1^12*t^2.44 + t^2.67/g1^9 + t^3. + g1^9*t^3.33 + g1^18*t^3.66 + t^3.89/g1^3 + 3*g1^6*t^4.22 + g1^15*t^4.55 + 2*g1^24*t^4.88 + 2*g1^3*t^5.11 + t^5.34/g1^18 + 2*g1^12*t^5.44 + 2*g1^21*t^5.77 + 2*g1^30*t^6.11 + 2*g1^9*t^6.33 + 5*g1^18*t^6.66 + (2*t^6.89)/g1^3 + 2*g1^27*t^6.99 + 3*g1^6*t^7.22 + 3*g1^36*t^7.33 - t^7.45/g1^15 + 5*g1^15*t^7.55 + (2*t^7.78)/g1^6 + 6*g1^24*t^7.88 + t^8.01/g1^27 + 2*g1^3*t^8.11 + 4*g1^33*t^8.22 - t^8.34/g1^18 + 5*g1^12*t^8.44 + 3*g1^42*t^8.55 - t^8.67/g1^9 + 7*g1^21*t^8.77 + t^8.67/(g1^9*y^2) - t^3.89/(g1^3*y) - t^4.78/(g1^6*y) - (g1^9*t^6.33)/y - t^6.56/(g1^12*y) - t^6.89/(g1^3*y) - (g1^6*t^7.22)/y - t^7.45/(g1^15*y) - (g1^15*t^7.55)/y - t^7.78/(g1^6*y) - (g1^3*t^8.11)/y + t^8.67/(g1^9*y) - (t^3.89*y)/g1^3 - (t^4.78*y)/g1^6 - g1^9*t^6.33*y - (t^6.56*y)/g1^12 - (t^6.89*y)/g1^3 - g1^6*t^7.22*y - (t^7.45*y)/g1^15 - g1^15*t^7.55*y - (t^7.78*y)/g1^6 - g1^3*t^8.11*y + (t^8.67*y)/g1^9 + (t^8.67*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
59448 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3205 | 1.4991 | 0.8808 | [X:[1.4064], M:[0.7032], q:[0.3075, 0.7139], qb:[0.6925, 0.5054], phi:[0.2968]] | t^2.11 + t^2.44 + t^2.67 + t^3. + t^3.33 + t^3.66 + 4*t^4.22 + 2*t^4.55 + t^4.78 + 2*t^4.88 + 3*t^5.11 + t^5.34 + 3*t^5.44 + 3*t^5.77 - t^3.89/y - t^4.78/y - t^6./y - t^3.89*y - t^4.78*y - t^6.*y | detail | |
59419 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0275 | 1.09 | 0.9427 | [X:[1.6, 1.4], M:[], q:[0.5333, 1.1333], qb:[0.4667, 0.6667], phi:[0.2]] | t^3. + 2*t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.4 - t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 411/400, c: 109/100, X1: 8/5, X2: 7/5, q1: 8/15, q2: 17/15, qb1: 7/15, qb2: 2/3, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47950 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.3239 | 1.4959 | 0.885 | [X:[1.3746], q:[0.354, 0.7285], qb:[0.646, 0.3952], phi:[0.3127]] | t^2.247 + t^2.814 + t^3. + t^3.186 + t^3.371 + t^3.938 + 3*t^4.124 + t^4.309 + t^4.495 + 2*t^5.062 + 3*t^5.247 + t^5.433 + t^5.619 + t^5.629 + t^6. - t^3.938/y - t^4.876/y - t^3.938*y - t^4.876*y | detail |