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 |
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3861 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ | 0.691 | 0.8428 | 0.8199 | [X:[1.2874], M:[0.9961, 0.7205, 1.0039, 0.7126, 0.9961, 1.0039, 0.9961], q:[0.502, 0.502], qb:[0.4941, 0.7854], phi:[0.4291]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_7$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$ | . | -5 | t^2.16 + t^2.57 + 3*t^2.99 + 2*t^3.86 + t^4.25 + 2*t^4.28 + 3*t^4.3 + t^4.32 + t^4.74 + 4*t^5.15 + 3*t^5.56 + 4*t^5.98 - 5*t^6. + 2*t^6.44 + 3*t^6.46 + t^6.48 + t^6.83 + 5*t^6.85 + 2*t^6.87 + t^6.9 + 3*t^7.24 + 3*t^7.26 + 3*t^7.29 + 2*t^7.31 - t^7.68 - 2*t^7.7 + 4*t^7.72 + 7*t^8.14 - t^8.16 + t^8.5 + 2*t^8.53 + 6*t^8.55 - 3*t^8.57 + 5*t^8.6 + 3*t^8.62 + t^8.65 + 4*t^8.96 - 12*t^8.99 - t^4.29/y - t^6.45/y - t^6.86/y - t^7.28/y + t^7.3/y + t^7.71/y + t^7.74/y + t^8.13/y + (3*t^8.15)/y + (3*t^8.56)/y - t^8.61/y + (3*t^8.98)/y - t^4.29*y - t^6.45*y - t^6.86*y - t^7.28*y + t^7.3*y + t^7.71*y + t^7.74*y + t^8.13*y + 3*t^8.15*y + 3*t^8.56*y - t^8.61*y + 3*t^8.98*y | g1^22*t^2.16 + g1^4*t^2.57 + (3*t^2.99)/g1^14 + 2*g1^6*t^3.86 + t^4.25/g1^40 + (2*t^4.28)/g1^12 + 3*g1^16*t^4.3 + g1^44*t^4.32 + g1^26*t^4.74 + 4*g1^8*t^5.15 + (3*t^5.56)/g1^10 + (4*t^5.98)/g1^28 - 5*t^6. + 2*g1^10*t^6.44 + 3*g1^38*t^6.46 + g1^66*t^6.48 + t^6.83/g1^36 + (5*t^6.85)/g1^8 + 2*g1^20*t^6.87 + g1^48*t^6.9 + (3*t^7.24)/g1^54 + (3*t^7.26)/g1^26 + 3*g1^2*t^7.29 + 2*g1^30*t^7.31 - t^7.68/g1^44 - (2*t^7.7)/g1^16 + 4*g1^12*t^7.72 + (7*t^8.14)/g1^6 - g1^22*t^8.16 + t^8.5/g1^80 + (2*t^8.53)/g1^52 + (6*t^8.55)/g1^24 - 3*g1^4*t^8.57 + 5*g1^32*t^8.6 + 3*g1^60*t^8.62 + g1^88*t^8.65 + (4*t^8.96)/g1^42 - (12*t^8.99)/g1^14 - (g1^2*t^4.29)/y - (g1^24*t^6.45)/y - (g1^6*t^6.86)/y - t^7.28/(g1^12*y) + (g1^16*t^7.3)/y + t^7.71/(g1^2*y) + (g1^26*t^7.74)/y + t^8.13/(g1^20*y) + (3*g1^8*t^8.15)/y + (3*t^8.56)/(g1^10*y) - (g1^46*t^8.61)/y + (3*t^8.98)/(g1^28*y) - g1^2*t^4.29*y - g1^24*t^6.45*y - g1^6*t^6.86*y - (t^7.28*y)/g1^12 + g1^16*t^7.3*y + (t^7.71*y)/g1^2 + g1^26*t^7.74*y + (t^8.13*y)/g1^20 + 3*g1^8*t^8.15*y + (3*t^8.56*y)/g1^10 - g1^46*t^8.61*y + (3*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
5453 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_2M_8$ | 0.6711 | 0.8065 | 0.8322 | [X:[1.2913], M:[0.987, 0.7348, 1.013, 0.7087, 0.987, 1.013, 0.987, 1.2652], q:[0.5065, 0.5065], qb:[0.4805, 0.7848], phi:[0.4304]] | t^2.58 + 3*t^2.96 + t^3.8 + 2*t^3.87 + t^4.17 + 2*t^4.25 + 3*t^4.33 + t^5.17 + 3*t^5.54 + 4*t^5.92 - 5*t^6. - t^4.29/y - t^4.29*y | detail | |
5454 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_8\phi_1^2$ | 0.6786 | 0.8216 | 0.8259 | [X:[1.289], M:[0.9924, 0.7263, 1.0076, 0.711, 0.9924, 1.0076, 0.9924, 1.1407], q:[0.5038, 0.5038], qb:[0.4885, 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 | |
5455 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7113 | 0.8811 | 0.8072 | [X:[1.2881], M:[0.9944, 0.7232, 1.0056, 0.7119, 0.9944, 1.0056, 0.9944, 0.7119], q:[0.5028, 0.5028], qb:[0.4915, 0.7853], phi:[0.4294]] | t^2.14 + t^2.17 + t^2.58 + 3*t^2.98 + t^3.86 + t^4.24 + 3*t^4.27 + 4*t^4.31 + t^4.34 + t^4.71 + t^4.75 + 3*t^5.12 + 4*t^5.15 + 3*t^5.56 + 4*t^5.97 - 4*t^6. - t^4.29/y - t^4.29*y | detail | {a: 118847/167088, c: 73613/83544, X1: 76/59, M1: 176/177, M2: 128/177, M3: 178/177, M4: 42/59, M5: 176/177, M6: 178/177, M7: 176/177, M8: 42/59, q1: 89/177, q2: 89/177, qb1: 29/59, qb2: 139/177, phi1: 76/177} |
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 |
---|---|---|---|---|---|---|---|---|---|
3383 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[1.012, 0.6954, 0.988, 0.7194, 1.012, 0.988], q:[0.494, 0.494], qb:[0.518, 0.7866], phi:[0.4269]] | t^2.09 + t^2.56 + t^2.96 + 2*t^3.04 + 2*t^3.84 + t^4.17 + 3*t^4.24 + 2*t^4.32 + t^4.39 + t^4.65 + t^5.05 + 3*t^5.12 + t^5.53 + 2*t^5.6 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail |