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 |
---|---|---|---|---|---|---|---|---|---|
44989 | SO5adj1nf2 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ | 1.6984 | 1.7859 | 0.951 | [X:[1.4], M:[1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 13587/8000, c: 14287/8000, X1: 7/5, M1: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2^2$, $ X_1$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | 2 | t^2.4 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 3*t^4.8 + t^5.4 + t^5.7 + 2*t^6. + 2*t^6.3 + 3*t^6.6 + 2*t^6.9 + 7*t^7.2 + 3*t^7.5 + 5*t^7.8 + 4*t^8.1 + 7*t^8.4 + 3*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (2*t^6.6)/y - t^7.2/y - (2*t^7.5)/y - t^7.8/y - (3*t^8.1)/y - t^8.4/y - t^4.2*y - t^5.1*y - t^5.7*y - 2*t^6.6*y - t^7.2*y - 2*t^7.5*y - t^7.8*y - 3*t^8.1*y - t^8.4*y | t^2.4 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 3*t^4.8 + t^5.4 + t^5.7 + 2*t^6. + 2*t^6.3 + 3*t^6.6 + 2*t^6.9 + 7*t^7.2 + 3*t^7.5 + 5*t^7.8 + 4*t^8.1 + 7*t^8.4 + 3*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (2*t^6.6)/y - t^7.2/y - (2*t^7.5)/y - t^7.8/y - (3*t^8.1)/y - t^8.4/y - t^4.2*y - t^5.1*y - t^5.7*y - 2*t^6.6*y - t^7.2*y - 2*t^7.5*y - t^7.8*y - 3*t^8.1*y - t^8.4*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 |
---|---|---|---|---|---|---|---|---|
45164 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ | 1.7189 | 1.8252 | 0.9418 | [X:[1.4], M:[1.2, 0.7], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + t^2.4 + t^3. + t^3.3 + 2*t^3.6 + 3*t^4.2 + t^4.5 + 3*t^4.8 + t^5.1 + 2*t^5.4 + 3*t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 11001/6400, c: 11681/6400, X1: 7/5, M1: 6/5, M2: 7/10, q1: 1/2, q2: 3/10, phi1: 2/5} |
45104 | $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2$ | 1.6819 | 1.7569 | 0.9573 | [X:[1.4], M:[1.2, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^3. + t^3.3 + 3*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.8 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 2691/1600, c: 2811/1600, X1: 7/5, M1: 6/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
44970 | SO5adj1nf2 | $M_1q_1q_2$ + $ q_1^4$ | 1.7898 | 1.8959 | 0.944 | [X:[], M:[1.046], q:[0.5, 0.454], qb:[], phi:[0.3487]] | t^2.09 + t^2.72 + t^3. + t^3.14 + t^3.45 + t^3.59 + t^3.91 + 2*t^4.18 + 2*t^4.82 + t^4.95 + 2*t^5.09 + t^5.23 + t^5.45 + t^5.55 + t^5.68 + t^5.72 + t^6. - t^4.05/y - t^5.41/y - t^5.55/y - t^4.05*y - t^5.41*y - t^5.55*y | detail |