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 |
---|---|---|---|---|---|---|---|---|---|
46092 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5056 | 0.6427 | 0.7867 | [X:[], M:[0.7952, 0.8071, 1.1929], q:[0.6083, 0.9941], qb:[0.1988, 0.6083], phi:[0.3976]] | [X:[], M:[[-4], [6], [-6]], q:[[7], [-5]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ M_1M_2$, $ M_2\phi_1^2$, $ q_1q_2$, $ M_2\phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$ | . | -3 | 3*t^2.39 + 2*t^2.42 + t^3.58 + t^3.65 + 5*t^4.77 + 7*t^4.81 + 4*t^4.84 + t^5.96 - 3*t^6. + t^6.04 + 2*t^6.07 + 7*t^7.16 + 8*t^7.19 + 9*t^7.23 + 5*t^7.26 + t^7.3 - 9*t^8.39 - 9*t^8.42 + t^8.46 + 4*t^8.49 - t^4.19/y - (2*t^6.58)/y + (3*t^7.77)/y + (8*t^7.81)/y + t^7.84/y - t^4.19*y - 2*t^6.58*y + 3*t^7.77*y + 8*t^7.81*y + t^7.84*y | (3*t^2.39)/g1^4 + 2*g1^6*t^2.42 + t^3.58/g1^6 + g1^14*t^3.65 + (5*t^4.77)/g1^8 + 7*g1^2*t^4.81 + 4*g1^12*t^4.84 + t^5.96/g1^10 - 3*t^6. + g1^10*t^6.04 + 2*g1^20*t^6.07 + (7*t^7.16)/g1^12 + (8*t^7.19)/g1^2 + 9*g1^8*t^7.23 + 5*g1^18*t^7.26 + g1^28*t^7.3 - (9*t^8.39)/g1^4 - 9*g1^6*t^8.42 + g1^16*t^8.46 + 4*g1^26*t^8.49 - t^4.19/(g1^2*y) - (2*t^6.58)/(g1^6*y) + (3*t^7.77)/(g1^8*y) + (8*g1^2*t^7.81)/y + (g1^12*t^7.84)/y - (t^4.19*y)/g1^2 - (2*t^6.58*y)/g1^6 + (3*t^7.77*y)/g1^8 + 8*g1^2*t^7.81*y + g1^12*t^7.84*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 |
---|---|---|---|---|---|---|---|---|
46755 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3M_4$ | 0.5221 | 0.6729 | 0.7759 | [X:[], M:[0.8043, 0.7935, 1.2065, 0.7935], q:[0.5924, 1.0054], qb:[0.2011, 0.5924], phi:[0.4022]] | 3*t^2.38 + 3*t^2.41 + t^3.55 + 7*t^4.76 + 10*t^4.79 + 5*t^4.83 + 3*t^5.93 + t^5.97 - 5*t^6. - t^4.21/y - t^4.21*y | detail | |
46354 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.5055 | 0.643 | 0.7862 | [X:[], M:[0.8, 0.8, 1.2], q:[0.6, 1.0], qb:[0.2, 0.6], phi:[0.4]] | 5*t^2.4 + 2*t^3.6 + 16*t^4.8 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 1011/2000, c: 643/1000, M1: 4/5, M2: 4/5, M3: 6/5, q1: 3/5, q2: 1, qb1: 1/5, qb2: 3/5, phi1: 2/5} |
46580 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.5243 | 0.6766 | 0.775 | [X:[], M:[0.7819, 0.8272, 1.1728, 0.7366], q:[0.6317, 0.9774], qb:[0.1955, 0.6317], phi:[0.3909]] | t^2.21 + 3*t^2.35 + 2*t^2.48 + t^3.52 + t^4.42 + 3*t^4.56 + 7*t^4.69 + 7*t^4.83 + 4*t^4.96 + t^5.73 + t^5.86 - 3*t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
45999 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_3$ | 0.5458 | 0.6894 | 0.7916 | [X:[], M:[0.8656, 1.0, 1.0], q:[0.7836, 0.7836], qb:[0.2164, 0.4852], phi:[0.4328]] | t^2.1 + 3*t^2.6 + 2*t^3. + 2*t^3.81 + 2*t^4.21 + 4*t^4.7 + 2*t^5.1 + 5*t^5.19 + 4*t^5.6 + 2*t^5.91 - t^6. - t^4.3/y - t^4.3*y | detail |