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 |
---|---|---|---|---|---|---|---|---|---|
149 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5422 | 0.6869 | 0.7893 | [M:[0.7543, 1.1229], q:[0.7807, 0.7807], qb:[0.465, 0.2193], phi:[0.4386]] | [M:[[8], [-4]], q:[[-1], [-1]], qb:[[-7], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 2 | t^2.053 + t^2.263 + t^2.631 + 2*t^3. + 2*t^3.369 + t^3.737 + 2*t^4.106 + t^4.316 + t^4.526 + 2*t^4.684 + t^4.894 + 2*t^5.053 + 2*t^5.263 + 2*t^5.421 + 2*t^5.631 + t^5.79 + 2*t^6. + 2*t^6.159 + 3*t^6.369 + 4*t^6.737 + t^6.789 + 4*t^7.106 + t^7.157 + 4*t^7.474 + 2*t^7.526 + 2*t^7.843 + 2*t^7.894 + t^8.053 + 3*t^8.211 + 2*t^8.421 + 4*t^8.79 - t^4.316/y - t^6.579/y + t^7.316/y + t^7.684/y + t^7.894/y + (3*t^8.053)/y + (2*t^8.263)/y + (2*t^8.421)/y + (4*t^8.631)/y + t^8.79/y - t^8.841/y - t^4.316*y - t^6.579*y + t^7.316*y + t^7.684*y + t^7.894*y + 3*t^8.053*y + 2*t^8.263*y + 2*t^8.421*y + 4*t^8.631*y + t^8.79*y - t^8.841*y | t^2.053/g1^6 + g1^8*t^2.263 + g1^4*t^2.631 + 2*t^3. + (2*t^3.369)/g1^4 + t^3.737/g1^8 + (2*t^4.106)/g1^12 + g1^2*t^4.316 + g1^16*t^4.526 + (2*t^4.684)/g1^2 + g1^12*t^4.894 + (2*t^5.053)/g1^6 + 2*g1^8*t^5.263 + (2*t^5.421)/g1^10 + 2*g1^4*t^5.631 + t^5.79/g1^14 + 2*t^6. + (2*t^6.159)/g1^18 + (3*t^6.369)/g1^4 + (4*t^6.737)/g1^8 + g1^24*t^6.789 + (4*t^7.106)/g1^12 + g1^20*t^7.157 + (4*t^7.474)/g1^16 + 2*g1^16*t^7.526 + (2*t^7.843)/g1^20 + 2*g1^12*t^7.894 + t^8.053/g1^6 + (3*t^8.211)/g1^24 + (2*t^8.421)/g1^10 + (4*t^8.79)/g1^14 - (g1^2*t^4.316)/y - (g1^10*t^6.579)/y + (g1^2*t^7.316)/y + t^7.684/(g1^2*y) + (g1^12*t^7.894)/y + (3*t^8.053)/(g1^6*y) + (2*g1^8*t^8.263)/y + (2*t^8.421)/(g1^10*y) + (4*g1^4*t^8.631)/y + t^8.79/(g1^14*y) - (g1^18*t^8.841)/y - g1^2*t^4.316*y - g1^10*t^6.579*y + g1^2*t^7.316*y + (t^7.684*y)/g1^2 + g1^12*t^7.894*y + (3*t^8.053*y)/g1^6 + 2*g1^8*t^8.263*y + (2*t^8.421*y)/g1^10 + 4*g1^4*t^8.631*y + (t^8.79*y)/g1^14 - g1^18*t^8.841*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 |
---|---|---|---|---|---|---|---|---|
239 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.4995 | 0.612 | 0.8162 | [X:[1.4], M:[0.6, 1.2], q:[0.8, 0.8], qb:[0.6, 0.2], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 999/2000, c: 153/250, X1: 7/5, M1: 3/5, M2: 6/5, q1: 4/5, q2: 4/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |
243 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5406 | 0.6835 | 0.791 | [M:[0.7143, 1.1429], q:[0.7857, 0.7857], qb:[0.5, 0.2143], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 2*t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 4*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 2967/5488, c: 3751/5488, M1: 5/7, M2: 8/7, q1: 11/14, q2: 11/14, qb1: 1/2, qb2: 3/14, 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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
92 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6484 | 0.7955 | 0.815 | [M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]] | t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. - t^4.054/y - t^4.054*y | detail |