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 |
---|---|---|---|---|---|---|---|---|---|
54160 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_3M_4$ | 0.6786 | 0.8217 | 0.8258 | [X:[], M:[1.1452, 0.9917, 0.9917, 1.0083, 0.7012, 1.0083], q:[0.5125, 0.4958], qb:[0.4958, 0.7863], phi:[0.4274]] | [X:[], M:[[4], [-14], [-14], [14], [-22], [14]], q:[[21], [-7]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_3$, $ M_4$, $ M_6$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_1M_5$, $ M_3^2$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_3M_6$ | -3 | t^2.1 + t^2.98 + 2*t^3.02 + t^3.44 + 2*t^3.85 + t^4.21 + 3*t^4.26 + 2*t^4.31 + t^4.36 + t^5.08 + 2*t^5.13 + t^5.54 + t^5.95 - 3*t^6. + t^6.05 + t^6.31 + 3*t^6.36 + t^6.41 + 2*t^6.46 + t^6.82 + 2*t^6.87 + t^7.18 + 3*t^7.23 + 4*t^7.28 + 2*t^7.33 + 2*t^7.38 + t^7.64 + 3*t^7.69 + t^8.05 + t^8.1 + t^8.15 + t^8.41 + 3*t^8.46 + 6*t^8.51 + 4*t^8.56 + 2*t^8.61 + 2*t^8.66 + t^8.71 + t^8.93 - 3*t^8.98 - t^4.28/y - t^6.39/y + t^8.08/y + (2*t^8.13)/y + t^8.18/y - t^8.49/y + t^8.54/y + (2*t^8.95)/y - t^4.28*y - t^6.39*y + t^8.08*y + 2*t^8.13*y + t^8.18*y - t^8.49*y + t^8.54*y + 2*t^8.95*y | t^2.1/g1^22 + t^2.98/g1^14 + 2*g1^14*t^3.02 + g1^4*t^3.44 + (2*t^3.85)/g1^6 + t^4.21/g1^44 + (3*t^4.26)/g1^16 + 2*g1^12*t^4.31 + g1^40*t^4.36 + t^5.08/g1^36 + (2*t^5.13)/g1^8 + t^5.54/g1^18 + t^5.95/g1^28 - 3*t^6. + g1^28*t^6.05 + t^6.31/g1^66 + (3*t^6.36)/g1^38 + t^6.41/g1^10 + 2*g1^18*t^6.46 + t^6.82/g1^20 + 2*g1^8*t^6.87 + t^7.18/g1^58 + (3*t^7.23)/g1^30 + (4*t^7.28)/g1^2 + 2*g1^26*t^7.33 + 2*g1^54*t^7.38 + t^7.64/g1^40 + (3*t^7.69)/g1^12 + t^8.05/g1^50 + t^8.1/g1^22 + g1^6*t^8.15 + t^8.41/g1^88 + (3*t^8.46)/g1^60 + (6*t^8.51)/g1^32 + (4*t^8.56)/g1^4 + 2*g1^24*t^8.61 + 2*g1^52*t^8.66 + g1^80*t^8.71 + t^8.93/g1^42 - (3*t^8.98)/g1^14 - t^4.28/(g1^2*y) - t^6.39/(g1^24*y) + t^8.08/(g1^36*y) + (2*t^8.13)/(g1^8*y) + (g1^20*t^8.18)/y - t^8.49/(g1^46*y) + t^8.54/(g1^18*y) + (2*t^8.95)/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.39*y)/g1^24 + (t^8.08*y)/g1^36 + (2*t^8.13*y)/g1^8 + g1^20*t^8.18*y - (t^8.49*y)/g1^46 + (t^8.54*y)/g1^18 + (2*t^8.95*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
56539 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_3M_4$ + $ M_3M_7$ | 0.6786 | 0.8216 | 0.8259 | [X:[], M:[1.1407, 1.0076, 1.0076, 0.9924, 0.7263, 0.9924, 0.9924], q:[0.4885, 0.5038], qb:[0.5038, 0.7852], phi:[0.4297]] | t^2.18 + 3*t^2.98 + t^3.42 + 2*t^3.87 + t^4.22 + 2*t^4.27 + 3*t^4.31 + t^4.36 + 3*t^5.16 + t^5.6 + 4*t^5.95 - 5*t^6. - t^4.29/y - t^4.29*y | detail | |
56537 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_3M_4$ + $ M_5^2$ | 0.5684 | 0.7048 | 0.8065 | [X:[], M:[1.0909, 1.1818, 1.1818, 0.8182, 1.0, 0.8182], q:[0.2273, 0.5909], qb:[0.5909, 0.7727], phi:[0.4545]] | 2*t^2.45 + t^2.73 + t^3. + t^3.27 + t^3.55 + 2*t^3.82 + 2*t^4.09 + 4*t^4.91 + 2*t^5.18 + 3*t^5.45 + 2*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 12105/21296, c: 15009/21296, M1: 12/11, M2: 13/11, M3: 13/11, M4: 9/11, M5: 1, M6: 9/11, q1: 5/22, q2: 13/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
56540 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_3M_4$ + $ M_7q_2\tilde{q}_2$ | 0.6987 | 0.8595 | 0.8129 | [X:[], M:[1.1447, 0.9936, 0.9936, 1.0064, 0.7043, 1.0064, 0.717], q:[0.5096, 0.4968], qb:[0.4968, 0.7862], phi:[0.4277]] | t^2.11 + t^2.15 + t^2.98 + 2*t^3.02 + t^3.43 + t^3.85 + t^4.23 + 4*t^4.26 + 3*t^4.3 + t^4.34 + t^5.09 + 3*t^5.13 + 2*t^5.17 + t^5.55 + t^5.59 - 2*t^6. - t^4.28/y - t^4.28*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 |
---|---|---|---|---|---|---|---|---|---|
48202 | SU2adj1nf2 | $M_1\phi_1^2$ + $ M_2q_1q_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6841 | 0.83 | 0.8243 | [X:[], M:[1.1665, 1.0256, 0.9173, 0.9744, 0.6926, 0.9744], q:[0.5158, 0.4587], qb:[0.5669, 0.7916], phi:[0.4168]] | t^2.08 + t^2.75 + 2*t^2.92 + t^3.5 + t^3.75 + t^4. + t^4.08 + t^4.16 + t^4.17 + t^4.33 + t^4.34 + t^4.5 + t^4.65 + t^4.83 + 2*t^5. + t^5.5 + t^5.58 + t^5.68 + 2*t^5.85 - 3*t^6. - t^4.25/y - t^4.25*y | detail |