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 |
---|---|---|---|---|---|---|---|---|---|
177 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5954 | 0.7288 | 0.817 | [X:[], M:[1.0, 0.7562], q:[0.6219, 1.0], qb:[0.3781, 0.4876], phi:[0.3781]] | [X:[], M:[[0], [-2]], q:[[1], [0]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -1 | 2*t^2.27 + t^2.6 + t^3. + t^3.33 + t^3.4 + t^4.06 + t^4.13 + t^4.46 + 3*t^4.54 + 3*t^4.87 + t^5.19 + t^5.27 + 2*t^5.6 + t^5.67 + t^5.93 - t^6. + 2*t^6.33 + t^6.4 + 2*t^6.66 + t^6.73 + 4*t^6.81 + t^7.06 + 3*t^7.13 + t^7.39 + 2*t^7.46 + t^7.54 + t^7.79 + t^7.87 + t^7.94 + t^8.12 + 2*t^8.19 - 2*t^8.27 + 2*t^8.52 - t^8.6 + 4*t^8.93 - t^4.13/y - (2*t^6.4)/y + t^7.54/y + (4*t^7.87)/y + (2*t^8.27)/y + (3*t^8.6)/y - t^8.67/y + t^8.93/y - t^4.13*y - 2*t^6.4*y + t^7.54*y + 4*t^7.87*y + 2*t^8.27*y + 3*t^8.6*y - t^8.67*y + t^8.93*y | (2*t^2.27)/g1^2 + g1^3*t^2.6 + t^3. + g1^5*t^3.33 + t^3.4/g1^3 + g1^7*t^4.06 + t^4.13/g1 + g1^4*t^4.46 + (3*t^4.54)/g1^4 + 3*g1*t^4.87 + g1^6*t^5.19 + t^5.27/g1^2 + 2*g1^3*t^5.6 + t^5.67/g1^5 + g1^8*t^5.93 - t^6. + 2*g1^5*t^6.33 + t^6.4/g1^3 + 2*g1^10*t^6.66 + g1^2*t^6.73 + (4*t^6.81)/g1^6 + g1^7*t^7.06 + (3*t^7.13)/g1 + g1^12*t^7.39 + 2*g1^4*t^7.46 + t^7.54/g1^4 + g1^9*t^7.79 + g1*t^7.87 + t^7.94/g1^7 + g1^14*t^8.12 + 2*g1^6*t^8.19 - (2*t^8.27)/g1^2 + 2*g1^11*t^8.52 - g1^3*t^8.6 + 4*g1^8*t^8.93 - t^4.13/(g1*y) - (2*t^6.4)/(g1^3*y) + t^7.54/(g1^4*y) + (4*g1*t^7.87)/y + (2*t^8.27)/(g1^2*y) + (3*g1^3*t^8.6)/y - t^8.67/(g1^5*y) + (g1^8*t^8.93)/y - (t^4.13*y)/g1 - (2*t^6.4*y)/g1^3 + (t^7.54*y)/g1^4 + 4*g1*t^7.87*y + (2*t^8.27*y)/g1^2 + 3*g1^3*t^8.6*y - (t^8.67*y)/g1^5 + g1^8*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
278 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.5865 | 0.724 | 0.8101 | [X:[], M:[1.0, 0.8], q:[0.6, 1.0], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1173/2000, c: 181/250, M1: 1, M2: 4/5, q1: 3/5, q2: 1, qb1: 2/5, qb2: 2/5, 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 |
---|---|---|---|---|---|---|---|---|---|
111 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.5768 | 0.6957 | 0.829 | [X:[], M:[1.0], q:[0.6194, 1.0], qb:[0.3806, 0.4775], phi:[0.3806]] | t^2.28 + t^2.57 + t^3. + t^3.29 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.43 + t^4.57 + 2*t^4.86 + t^5.15 + t^5.57 + t^5.87 - t^4.14/y - t^4.14*y | detail |