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 |
---|---|---|---|---|---|---|---|---|---|
433 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_1M_4$ | 0.672 | 0.8077 | 0.832 | [X:[], M:[1.0276, 1.0, 0.9724, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$ | . | -2 | t^2.57 + 2*t^2.92 + t^3. + t^3.77 + t^3.86 + t^3.94 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + t^5.14 + 2*t^5.49 + t^5.57 + 2*t^5.83 - 2*t^6. - 2*t^6.08 - t^6.17 + 3*t^6.69 + 3*t^6.77 + 3*t^6.86 + t^6.94 + t^7.02 + 2*t^7.04 + 2*t^7.12 + 2*t^7.2 + t^7.29 + t^7.71 + t^7.89 + t^7.98 + 4*t^8.06 + 3*t^8.14 + 2*t^8.23 + t^8.24 + t^8.31 + t^8.32 + t^8.39 + 4*t^8.41 + t^8.49 - t^8.65 + t^8.74 + 2*t^8.75 + t^8.82 - t^8.83 + t^8.9 - 5*t^8.92 - t^4.29/y - t^6.86/y - t^7.2/y + t^7.37/y + t^7.71/y + (2*t^8.49)/y + t^8.57/y + t^8.83/y + (2*t^8.92)/y - t^4.29*y - t^6.86*y - t^7.2*y + t^7.37*y + t^7.71*y + 2*t^8.49*y + t^8.57*y + t^8.83*y + 2*t^8.92*y | t^2.57 + (2*t^2.92)/g1 + t^3. + t^3.77/g1 + t^3.86 + g1*t^3.94 + t^4.12/g1^2 + t^4.2/g1 + 2*t^4.29 + g1*t^4.37 + g1^2*t^4.45 + t^5.14 + (2*t^5.49)/g1 + t^5.57 + (2*t^5.83)/g1^2 - 2*t^6. - 2*g1*t^6.08 - g1^2*t^6.17 + (3*t^6.69)/g1^2 + (3*t^6.77)/g1 + 3*t^6.86 + g1*t^6.94 + g1^2*t^7.02 + (2*t^7.04)/g1^3 + (2*t^7.12)/g1^2 + (2*t^7.2)/g1 + t^7.29 + t^7.71 + t^7.89/g1^3 + t^7.98/g1^2 + (4*t^8.06)/g1 + 3*t^8.14 + 2*g1*t^8.23 + t^8.24/g1^4 + g1^2*t^8.31 + t^8.32/g1^3 + g1^3*t^8.39 + (4*t^8.41)/g1^2 + t^8.49/g1 - g1*t^8.65 + g1^2*t^8.74 + (2*t^8.75)/g1^3 + g1^3*t^8.82 - t^8.83/g1^2 + g1^4*t^8.9 - (5*t^8.92)/g1 - t^4.29/y - t^6.86/y - t^7.2/(g1*y) + (g1*t^7.37)/y + t^7.71/y + (2*t^8.49)/(g1*y) + t^8.57/y + t^8.83/(g1^2*y) + (2*t^8.92)/(g1*y) - t^4.29*y - t^6.86*y - (t^7.2*y)/g1 + g1*t^7.37*y + t^7.71*y + (2*t^8.49*y)/g1 + t^8.57*y + (t^8.83*y)/g1^2 + (2*t^8.92*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
722 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.6916 | 0.8434 | 0.82 | [X:[], M:[1.0179, 1.0, 0.9821, 0.9821, 0.7321], q:[0.7857, 0.4821], qb:[0.5, 0.5179], phi:[0.4286]] | t^2.2 + t^2.57 + 2*t^2.95 + t^3. + t^3.86 + t^3.91 + t^4.18 + t^4.23 + 2*t^4.29 + t^4.34 + 2*t^4.39 + t^4.77 + 3*t^5.14 + t^5.2 + 2*t^5.52 + t^5.57 + 2*t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 30363/43904, c: 37027/43904, M1: 57/56, M2: 1, M3: 55/56, M4: 55/56, M5: 41/56, q1: 11/14, q2: 27/56, qb1: 1/2, qb2: 29/56, 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 |
---|---|---|---|---|---|---|---|---|---|
268 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ | 0.6707 | 0.8047 | 0.8336 | [X:[], M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.57 + 3*t^3. + 3*t^3.86 + 6*t^4.29 + t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |