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 |
---|---|---|---|---|---|---|---|---|---|
46910 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6497 | 0.8094 | 0.8027 | [X:[], M:[0.7774, 1.166, 0.834, 0.834, 0.7774], q:[0.834, 0.3887], qb:[0.4453, 0.7774], phi:[0.3887]] | [X:[], M:[[2], [3], [-3], [-3], [2]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_3M_5$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_4\phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | 0 | 3*t^2.33 + 2*t^2.5 + t^3.5 + t^3.67 + 2*t^3.84 + 6*t^4.66 + 7*t^4.83 + 3*t^5. + t^5.83 + 6*t^6.17 + 4*t^6.34 + 9*t^7. + 10*t^7.17 + 7*t^7.34 + 4*t^7.51 + 3*t^7.68 - 7*t^8.33 + 2*t^8.5 + 11*t^8.67 + 6*t^8.84 - t^4.17/y - (3*t^6.5)/y - t^6.67/y + (4*t^7.66)/y + (9*t^7.83)/y + t^8./y - (3*t^8.83)/y - t^4.17*y - 3*t^6.5*y - t^6.67*y + 4*t^7.66*y + 9*t^7.83*y + t^8.*y - 3*t^8.83*y | 3*g1^2*t^2.33 + (2*t^2.5)/g1^3 + g1^3*t^3.5 + t^3.67/g1^2 + (2*t^3.84)/g1^7 + 6*g1^4*t^4.66 + (7*t^4.83)/g1 + (3*t^5.)/g1^6 + g1^5*t^5.83 + (6*t^6.17)/g1^5 + (4*t^6.34)/g1^10 + 9*g1^6*t^7. + 10*g1*t^7.17 + (7*t^7.34)/g1^4 + (4*t^7.51)/g1^9 + (3*t^7.68)/g1^14 - 7*g1^2*t^8.33 + (2*t^8.5)/g1^3 + (11*t^8.67)/g1^8 + (6*t^8.84)/g1^13 - (g1*t^4.17)/y - (3*g1^3*t^6.5)/y - t^6.67/(g1^2*y) + (4*g1^4*t^7.66)/y + (9*t^7.83)/(g1*y) + t^8./(g1^6*y) - (3*g1^5*t^8.83)/y - g1*t^4.17*y - 3*g1^3*t^6.5*y - (t^6.67*y)/g1^2 + 4*g1^4*t^7.66*y + (9*t^7.83*y)/g1 + (t^8.*y)/g1^6 - 3*g1^5*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
55082 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.67 | 0.8476 | 0.7904 | [X:[], M:[0.7719, 1.1579, 0.8421, 0.8421, 0.7719, 0.7018], q:[0.8421, 0.386], qb:[0.4561, 0.7719], phi:[0.386]] | t^2.11 + 3*t^2.32 + 2*t^2.53 + t^3.47 + t^3.68 + t^3.89 + t^4.21 + 3*t^4.42 + 8*t^4.63 + 7*t^4.84 + 3*t^5.05 + t^5.58 + 2*t^5.79 + t^6. - t^4.16/y - t^4.16*y | detail | {a: 1935/2888, c: 306/361, M1: 44/57, M2: 22/19, M3: 16/19, M4: 16/19, M5: 44/57, M6: 40/57, q1: 16/19, q2: 22/57, qb1: 26/57, qb2: 44/57, phi1: 22/57} |
53014 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6676 | 0.8409 | 0.7939 | [X:[], M:[0.7732, 1.1598, 0.8402, 0.8402, 0.7732, 0.7732], q:[0.8402, 0.3866], qb:[0.4536, 0.7732], phi:[0.3866]] | 4*t^2.32 + 2*t^2.52 + t^3.48 + 2*t^3.88 + 10*t^4.64 + 9*t^4.84 + 3*t^5.04 + 2*t^5.8 - 3*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
46637 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_4$ | 0.632 | 0.7786 | 0.8118 | [X:[], M:[0.7817, 1.1726, 0.8274, 0.8274], q:[0.8274, 0.3909], qb:[0.4366, 0.7817], phi:[0.3909]] | 2*t^2.35 + 2*t^2.48 + t^3.52 + 2*t^3.65 + 2*t^3.79 + 3*t^4.69 + 5*t^4.83 + 3*t^4.96 + t^6. - t^4.17/y - t^4.17*y | detail |