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 |
---|---|---|---|---|---|---|---|---|---|
48201 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6198 | 0.7634 | 0.8119 | [X:[], M:[0.8244, 0.7432, 1.1756, 1.2162, 0.7026], q:[0.8041, 0.3716], qb:[0.4528, 0.8041], phi:[0.3919]] | [X:[], M:[[6], [-14], [-6], [4], [-24]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ M_3$, $ q_2\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_1M_5$, $ M_1M_2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ M_3M_5$, $ M_2\phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ M_2M_3$, $ M_4M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2M_4$, $ M_2\phi_1q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_2\tilde{q}_1\tilde{q}_2$ | t^2.11 + t^2.23 + t^2.47 + t^3.41 + 2*t^3.53 + 2*t^3.65 + t^3.77 + t^4.22 + t^4.34 + t^4.46 + t^4.58 + t^4.7 + t^4.82 + t^4.95 + t^5.51 + 3*t^5.63 + 3*t^5.76 + 2*t^5.88 + t^6.32 + t^6.45 + t^6.57 + 2*t^6.69 + 2*t^6.81 + 3*t^6.93 + 4*t^7.05 + 2*t^7.18 + t^7.3 + t^7.62 + 3*t^7.74 + 4*t^7.86 + 3*t^7.99 + t^8.11 - t^8.23 + t^8.43 - t^8.47 + t^8.55 - t^8.59 + t^8.67 - t^8.72 + 2*t^8.8 + 3*t^8.92 - t^4.18/y - t^6.28/y - t^6.41/y + t^7.34/y + t^7.58/y + t^7.7/y + t^7.95/y + t^8.07/y - t^8.39/y + (2*t^8.63)/y + (4*t^8.76)/y + (4*t^8.88)/y - t^4.18*y - t^6.28*y - t^6.41*y + t^7.34*y + t^7.58*y + t^7.7*y + t^7.95*y + t^8.07*y - t^8.39*y + 2*t^8.63*y + 4*t^8.76*y + 4*t^8.88*y | t^2.11/g1^24 + t^2.23/g1^14 + g1^6*t^2.47 + t^3.41/g1^16 + (2*t^3.53)/g1^6 + 2*g1^4*t^3.65 + g1^14*t^3.77 + t^4.22/g1^48 + t^4.34/g1^38 + t^4.46/g1^28 + t^4.58/g1^18 + t^4.7/g1^8 + g1^2*t^4.82 + g1^12*t^4.95 + t^5.51/g1^40 + (3*t^5.63)/g1^30 + (3*t^5.76)/g1^20 + (2*t^5.88)/g1^10 + t^6.32/g1^72 + t^6.45/g1^62 + t^6.57/g1^52 + (2*t^6.69)/g1^42 + (2*t^6.81)/g1^32 + (3*t^6.93)/g1^22 + (4*t^7.05)/g1^12 + (2*t^7.18)/g1^2 + g1^8*t^7.3 + t^7.62/g1^64 + (3*t^7.74)/g1^54 + (4*t^7.86)/g1^44 + (3*t^7.99)/g1^34 + t^8.11/g1^24 - t^8.23/g1^14 + t^8.43/g1^96 - g1^6*t^8.47 + t^8.55/g1^86 - g1^16*t^8.59 + t^8.67/g1^76 - g1^26*t^8.72 + (2*t^8.8)/g1^66 + (3*t^8.92)/g1^56 - t^4.18/(g1^2*y) - t^6.28/(g1^26*y) - t^6.41/(g1^16*y) + t^7.34/(g1^38*y) + t^7.58/(g1^18*y) + t^7.7/(g1^8*y) + (g1^12*t^7.95)/y + (g1^22*t^8.07)/y - t^8.39/(g1^50*y) + (2*t^8.63)/(g1^30*y) + (4*t^8.76)/(g1^20*y) + (4*t^8.88)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.28*y)/g1^26 - (t^6.41*y)/g1^16 + (t^7.34*y)/g1^38 + (t^7.58*y)/g1^18 + (t^7.7*y)/g1^8 + g1^12*t^7.95*y + g1^22*t^8.07*y - (t^8.39*y)/g1^50 + (2*t^8.63*y)/g1^30 + (4*t^8.76*y)/g1^20 + (4*t^8.88*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
55944 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_2M_5$ | 0.5462 | 0.6679 | 0.8178 | [X:[], M:[0.7368, 0.9474, 1.2632, 1.1579, 1.0526], q:[0.7895, 0.4737], qb:[0.2632, 0.7895], phi:[0.4211]] | t^2.21 + t^2.84 + 2*t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.37 + t^5.68 + t^6. - t^4.26/y - t^4.26*y | detail | {a: 59937/109744, c: 36647/54872, M1: 14/19, M2: 18/19, M3: 24/19, M4: 22/19, M5: 20/19, q1: 15/19, q2: 9/19, qb1: 5/19, qb2: 15/19, phi1: 8/19} |
50866 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1^2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_5^2$ | 0.5654 | 0.6904 | 0.819 | [X:[], M:[0.75, 0.9167, 1.25, 1.1667, 1.0], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + t^5. + t^5.25 + t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 579/1024, c: 707/1024, M1: 3/4, M2: 11/12, M3: 5/4, M4: 7/6, M5: 1, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
46380 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ + $ M_4\phi_1^2$ | 0.5996 | 0.7246 | 0.8275 | [X:[], M:[0.8189, 0.7558, 1.1811, 1.2126], q:[0.8032, 0.3779], qb:[0.4411, 0.8032], phi:[0.3937]] | t^2.27 + t^2.46 + t^3.45 + 2*t^3.54 + 2*t^3.64 + t^3.73 + t^3.83 + t^4.53 + t^4.72 + t^4.82 + t^4.91 + t^5.72 + t^5.81 + t^5.91 - t^4.18/y - t^4.18*y | detail |