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 |
---|---|---|---|---|---|---|---|---|---|
46028 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] | [X:[], M:[[2], [-2]], q:[[-7], [6]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_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_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1^4$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_1M_2$ | 0 | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 + t^6.11 + 3*t^6.36 + t^6.71 + 3*t^6.82 + 2*t^7.18 + 3*t^7.29 + t^7.53 + 2*t^7.65 + 3*t^7.76 + 3*t^8. - t^8.12 + t^8.23 + 5*t^8.47 - 3*t^8.59 + t^8.7 + 2*t^8.83 + t^8.94 - t^4.29/y - t^6.88/y + (3*t^7.71)/y + t^8.06/y + (2*t^8.18)/y + (3*t^8.53)/y + (2*t^8.64)/y + t^8.89/y - t^4.29*y - t^6.88*y + 3*t^7.71*y + t^8.06*y + 2*t^8.18*y + 3*t^8.53*y + 2*t^8.64*y + t^8.89*y | t^2.12/g1^3 + 2*g1^2*t^2.59 + t^2.94/g1^7 + g1^7*t^3.06 + t^3.41/g1^2 + t^3.77/g1^11 + g1^3*t^3.88 + (2*t^4.24)/g1^6 + (3*t^4.71)/g1 + t^5.06/g1^10 + 3*g1^4*t^5.18 + (2*t^5.53)/g1^5 + g1^9*t^5.64 + (2*t^5.89)/g1^14 + g1^14*t^6.11 + (3*t^6.36)/g1^9 + t^6.71/g1^18 + (3*t^6.82)/g1^4 + (2*t^7.18)/g1^13 + 3*g1*t^7.29 + t^7.53/g1^22 + (2*t^7.65)/g1^8 + 3*g1^6*t^7.76 + (3*t^8.)/g1^17 - t^8.12/g1^3 + g1^11*t^8.23 + (5*t^8.47)/g1^12 - 3*g1^2*t^8.59 + g1^16*t^8.7 + (2*t^8.83)/g1^21 + t^8.94/g1^7 - (g1*t^4.29)/y - (g1^3*t^6.88)/y + (3*t^7.71)/(g1*y) + t^8.06/(g1^10*y) + (2*g1^4*t^8.18)/y + (3*t^8.53)/(g1^5*y) + (2*g1^9*t^8.64)/y + t^8.89/(g1^14*y) - g1*t^4.29*y - g1^3*t^6.88*y + (3*t^7.71*y)/g1 + (t^8.06*y)/g1^10 + 2*g1^4*t^8.18*y + (3*t^8.53*y)/g1^5 + 2*g1^9*t^8.64*y + (t^8.89*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
46151 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_1M_3$ | 0.5213 | 0.6482 | 0.8042 | [X:[], M:[0.8658, 1.1342, 1.1342], q:[0.9697, 0.5974], qb:[0.2684, 0.4329], phi:[0.4329]] | t^2.1 + t^2.6 + t^2.91 + t^3.09 + 2*t^3.4 + t^3.71 + t^3.9 + 2*t^4.21 + 2*t^4.7 + t^5.01 + t^5.19 + 2*t^5.51 + 2*t^5.82 - t^4.3/y - t^4.3*y | detail | {a: 148361/284592, c: 92237/142296, M1: 200/231, M2: 262/231, M3: 262/231, q1: 32/33, q2: 46/77, qb1: 62/231, qb2: 100/231, phi1: 100/231} |
46109 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5338 | 0.6682 | 0.7988 | [X:[], M:[0.8489, 1.1511, 0.9711], q:[1.0289, 0.5466], qb:[0.3022, 0.4244], phi:[0.4244]] | t^2.18 + 2*t^2.55 + 2*t^2.91 + t^3.45 + t^3.82 + t^3.99 + 2*t^4.36 + 3*t^4.73 + 4*t^5.09 + 3*t^5.46 + 3*t^5.83 - t^6. - t^4.27/y - t^4.27*y | detail | |
46330 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.5538 | 0.7072 | 0.783 | [X:[], M:[0.8638, 1.1362, 0.7043], q:[0.9766, 0.5914], qb:[0.2724, 0.4319], phi:[0.4319]] | 2*t^2.11 + 2*t^2.59 + t^2.93 + t^3.07 + t^3.41 + t^3.75 + 4*t^4.23 + 5*t^4.7 + 2*t^5.04 + 4*t^5.18 + 3*t^5.52 + t^5.66 + 3*t^5.86 - t^6. - t^4.3/y - t^4.3*y | detail | |
46111 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_3q_1\tilde{q}_1$ | 0.5532 | 0.705 | 0.7847 | [X:[], M:[0.857, 1.143, 0.7135], q:[1.0005, 0.571], qb:[0.286, 0.4285], phi:[0.4285]] | 2*t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 2*t^4.28 + 2*t^4.29 + 5*t^4.71 + 5*t^5.14 + t^5.15 + 4*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | |
46169 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.533 | 0.6669 | 0.7992 | [X:[], M:[0.8571, 1.1429], q:[1.0, 0.5714], qb:[0.2857, 0.4286], phi:[0.4286]] | t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + 2*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 2925/5488, c: 915/1372, M1: 6/7, M2: 8/7, q1: 1, q2: 4/7, qb1: 2/7, qb2: 3/7, 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 |
---|---|---|---|---|---|---|---|---|---|
45914 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail |