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 |
---|---|---|---|---|---|---|---|---|---|
1761 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ | 0.6352 | 0.809 | 0.7853 | [X:[], M:[1.1103, 1.1397, 0.75, 0.7206], q:[0.75, 0.5], qb:[0.3897, 0.3603], phi:[0.5]] | [X:[], M:[[1], [-1], [0], [2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_4q_1q_2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$ | . | -1 | t^2.16 + 2*t^2.25 + t^3. + 2*t^3.33 + 2*t^3.42 + t^3.66 + t^3.75 + t^4.08 + t^4.17 + t^4.32 + 2*t^4.41 + 4*t^4.5 + t^5.16 + 2*t^5.25 + 2*t^5.49 + 5*t^5.58 + 3*t^5.67 + t^5.82 + 2*t^5.91 - t^6. - t^6.09 + t^6.24 + 2*t^6.33 + t^6.42 + t^6.49 + 2*t^6.57 + 7*t^6.66 + 7*t^6.75 + 2*t^6.84 + 2*t^6.99 + t^7.08 - t^7.17 + 2*t^7.32 + 3*t^7.41 + 3*t^7.5 + 2*t^7.65 + 6*t^7.74 + 7*t^7.83 + 3*t^7.92 + t^7.99 + 2*t^8.07 + t^8.16 - 4*t^8.25 - 2*t^8.34 + t^8.4 + 2*t^8.49 + 2*t^8.58 + t^8.65 + t^8.67 + 2*t^8.74 + 7*t^8.82 + 10*t^8.91 - t^4.5/y - t^6.66/y - t^6.75/y + t^7.08/y + t^7.17/y + (2*t^7.41)/y + t^7.5/y - t^7.83/y - t^7.92/y + t^8.16/y + (3*t^8.25)/y + t^8.34/y + (2*t^8.49)/y + (6*t^8.58)/y + (4*t^8.67)/y + (2*t^8.91)/y - t^4.5*y - t^6.66*y - t^6.75*y + t^7.08*y + t^7.17*y + 2*t^7.41*y + t^7.5*y - t^7.83*y - t^7.92*y + t^8.16*y + 3*t^8.25*y + t^8.34*y + 2*t^8.49*y + 6*t^8.58*y + 4*t^8.67*y + 2*t^8.91*y | g1^2*t^2.16 + 2*t^2.25 + t^3. + 2*g1*t^3.33 + (2*t^3.42)/g1 + g1^2*t^3.66 + t^3.75 + g1*t^4.08 + t^4.17/g1 + g1^4*t^4.32 + 2*g1^2*t^4.41 + 4*t^4.5 + g1^2*t^5.16 + 2*t^5.25 + 2*g1^3*t^5.49 + 5*g1*t^5.58 + (3*t^5.67)/g1 + g1^4*t^5.82 + 2*g1^2*t^5.91 - t^6. - t^6.09/g1^2 + g1^3*t^6.24 + 2*g1*t^6.33 + t^6.42/g1 + g1^6*t^6.49 + 2*g1^4*t^6.57 + 7*g1^2*t^6.66 + 7*t^6.75 + (2*t^6.84)/g1^2 + 2*g1^3*t^6.99 + g1*t^7.08 - t^7.17/g1 + 2*g1^4*t^7.32 + 3*g1^2*t^7.41 + 3*t^7.5 + 2*g1^5*t^7.65 + 6*g1^3*t^7.74 + 7*g1*t^7.83 + (3*t^7.92)/g1 + g1^6*t^7.99 + 2*g1^4*t^8.07 + g1^2*t^8.16 - 4*t^8.25 - (2*t^8.34)/g1^2 + g1^5*t^8.4 + 2*g1^3*t^8.49 + 2*g1*t^8.58 + g1^8*t^8.65 + t^8.67/g1 + 2*g1^6*t^8.74 + 7*g1^4*t^8.82 + 10*g1^2*t^8.91 - t^4.5/y - (g1^2*t^6.66)/y - t^6.75/y + (g1*t^7.08)/y + t^7.17/(g1*y) + (2*g1^2*t^7.41)/y + t^7.5/y - (g1*t^7.83)/y - t^7.92/(g1*y) + (g1^2*t^8.16)/y + (3*t^8.25)/y + t^8.34/(g1^2*y) + (2*g1^3*t^8.49)/y + (6*g1*t^8.58)/y + (4*t^8.67)/(g1*y) + (2*g1^2*t^8.91)/y - t^4.5*y - g1^2*t^6.66*y - t^6.75*y + g1*t^7.08*y + (t^7.17*y)/g1 + 2*g1^2*t^7.41*y + t^7.5*y - g1*t^7.83*y - (t^7.92*y)/g1 + g1^2*t^8.16*y + 3*t^8.25*y + (t^8.34*y)/g1^2 + 2*g1^3*t^8.49*y + 6*g1*t^8.58*y + (4*t^8.67*y)/g1 + 2*g1^2*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
2766 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6162 | 0.7743 | 0.7958 | [X:[], M:[1.1103, 1.1397, 0.75, 0.7206, 1.25], q:[0.75, 0.5], qb:[0.3897, 0.3603], phi:[0.5]] | t^2.16 + t^2.25 + t^3. + 2*t^3.33 + 2*t^3.42 + t^3.66 + 2*t^3.75 + t^4.08 + t^4.17 + t^4.32 + t^4.41 + 2*t^4.5 + t^5.16 + t^5.25 + 2*t^5.49 + 3*t^5.58 + t^5.67 + t^5.82 + 2*t^5.91 - t^6. - t^4.5/y - t^4.5*y | detail | |
2767 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_5q_1q_2$ | 0.6543 | 0.8436 | 0.7756 | [X:[], M:[1.1103, 1.1397, 0.75, 0.7206, 0.75], q:[0.75, 0.5], qb:[0.3897, 0.3603], phi:[0.5]] | t^2.16 + 3*t^2.25 + t^3. + 2*t^3.33 + 2*t^3.42 + t^3.66 + t^4.08 + t^4.17 + t^4.32 + 3*t^4.41 + 7*t^4.5 + t^5.16 + 3*t^5.25 + 2*t^5.49 + 7*t^5.58 + 5*t^5.67 + t^5.82 + 2*t^5.91 - 3*t^6. - t^4.5/y - t^4.5*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
249 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6426 | 0.819 | 0.7847 | [X:[], M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^4.5/y - t^4.5*y | detail |