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 |
---|---|---|---|---|---|---|---|---|---|
46663 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 0.8892, 1.0, 1.0, 1.0554], q:[0.5, 0.5], qb:[0.6108, 0.5], phi:[0.4723]] | [X:[], M:[[0, 1], [-4, 0], [0, -1], [0, 0], [2, 0]], q:[[0, 0], [0, -1]], qb:[[4, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_3$, $ M_4$, $ M_3$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$ | $M_1^2$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. + 3*t^6.17 + 3*t^6.33 + 2*t^6.5 + 3*t^6.66 + 3*t^7.08 + 9*t^7.42 + 10*t^7.75 + t^8. + 6*t^8.08 + t^8.34 + 2*t^8.41 + t^8.5 - 7*t^8.67 + 15*t^8.83 - t^4.42/y - t^7.08/y + t^7.75/y + (3*t^8.67)/y + t^8.83/y - t^4.42*y - t^7.08*y + t^7.75*y + 3*t^8.67*y + t^8.83*y | t^2.67/g1^4 + t^3. + t^3./g2 + g2*t^3. + g1^2*t^3.17 + (g1^4*t^3.33)/g2 + g1^4*g2*t^3.33 + (2*t^4.42)/g1 + t^4.42/(g1*g2^2) + t^4.42/(g1*g2) + (g2*t^4.42)/g1 + (g2^2*t^4.42)/g1 + g1^3*t^4.75 + (g1^3*t^4.75)/g2 + g1^3*g2*t^4.75 + g1^7*t^5.08 + t^5.34/g1^8 + t^5.83/g1^2 - 2*t^6. + g1^2*t^6.17 + (g1^2*t^6.17)/g2 + g1^2*g2*t^6.17 + g1^4*t^6.33 + (g1^4*t^6.33)/g2^2 + g1^4*g2^2*t^6.33 + (g1^6*t^6.5)/g2 + g1^6*g2*t^6.5 + g1^8*t^6.66 + (g1^8*t^6.66)/g2^2 + g1^8*g2^2*t^6.66 + t^7.08/g1^5 + t^7.08/(g1^5*g2^2) + (g2^2*t^7.08)/g1^5 + t^7.42/g1 + t^7.42/(g1*g2^3) + t^7.42/(g1*g2^2) + (2*t^7.42)/(g1*g2) + (2*g2*t^7.42)/g1 + (g2^2*t^7.42)/g1 + (g2^3*t^7.42)/g1 + 2*g1^3*t^7.75 + (g1^3*t^7.75)/g2^3 + (g1^3*t^7.75)/g2^2 + (2*g1^3*t^7.75)/g2 + 2*g1^3*g2*t^7.75 + g1^3*g2^2*t^7.75 + g1^3*g2^3*t^7.75 + t^8./g1^12 + 2*g1^7*t^8.08 + (g1^7*t^8.08)/g2^2 + (g1^7*t^8.08)/g2 + g1^7*g2*t^8.08 + g1^7*g2^2*t^8.08 + t^8.34/g1^8 + (g1^11*t^8.41)/g2 + g1^11*g2*t^8.41 + t^8.5/g1^6 - (3*t^8.67)/g1^4 - t^8.67/(g1^4*g2^2) - t^8.67/(g1^4*g2) - (g2*t^8.67)/g1^4 - (g2^2*t^8.67)/g1^4 + (3*t^8.83)/g1^2 + t^8.83/(g1^2*g2^4) + t^8.83/(g1^2*g2^3) + (2*t^8.83)/(g1^2*g2^2) + (2*t^8.83)/(g1^2*g2) + (2*g2*t^8.83)/g1^2 + (2*g2^2*t^8.83)/g1^2 + (g2^3*t^8.83)/g1^2 + (g2^4*t^8.83)/g1^2 - t^4.42/(g1*y) - t^7.08/(g1^5*y) + (g1^3*t^7.75)/y + t^8.67/(g1^4*y) + t^8.67/(g1^4*g2*y) + (g2*t^8.67)/(g1^4*y) + t^8.83/(g1^2*y) - (t^4.42*y)/g1 - (t^7.08*y)/g1^5 + g1^3*t^7.75*y + (t^8.67*y)/g1^4 + (t^8.67*y)/(g1^4*g2) + (g2*t^8.67*y)/g1^4 + (t^8.83*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
46872 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[0.9798, 0.8466, 1.0202, 1.0, 1.0767, 0.8264], q:[0.5, 0.5202], qb:[0.6534, 0.4798], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
47038 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6784 | 0.8212 | 0.826 | [X:[], M:[1.0, 0.7143, 1.0, 1.0, 1.1429], q:[0.5, 0.5], qb:[0.7857, 0.5], phi:[0.4286]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 7*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 5/7, M3: 1, M4: 1, M5: 8/7, q1: 1/2, q2: 1/2, qb1: 11/14, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
46140 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ | 0.7077 | 0.8618 | 0.8212 | [X:[], M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | t^2.58 + t^2.79 + 3*t^3. + 2*t^3.42 + 6*t^4.4 + 3*t^4.81 + t^5.17 + t^5.23 + t^5.38 + t^5.58 + 3*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail |