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 |
|---|---|---|---|---|---|---|---|---|---|
| 3079 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ | 0.5666 | 0.7034 | 0.8055 | [X:[1.3424], M:[0.6576, 1.1532, 1.0361, 0.7297, 0.9639, 1.2703, 0.7747], q:[0.9415, 0.401], qb:[0.3288, 0.6351], phi:[0.4234]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [-32]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ X_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5M_7$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_3M_7$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_7$, $ M_7\phi_1q_2\tilde{q}_1$ | . | -1 | t^2.19 + t^2.32 + t^2.89 + t^3.11 + t^3.24 + 2*t^3.46 + t^3.81 + t^4.03 + t^4.38 + t^4.51 + t^4.65 + t^4.73 + t^5.08 + t^5.22 + t^5.3 + t^5.43 + t^5.57 + t^5.65 + 2*t^5.78 - t^6. + 2*t^6.13 + t^6.22 + 2*t^6.35 + t^6.49 + t^6.57 + 2*t^6.7 + t^6.84 + 2*t^6.92 + t^6.97 + t^7.05 + t^7.27 + t^7.41 + t^7.49 + t^7.54 + t^7.62 + t^7.76 + t^7.84 + t^7.89 + t^7.97 + t^8.05 + 2*t^8.11 - t^8.19 - t^8.32 + 2*t^8.46 + t^8.54 + 2*t^8.68 + t^8.81 - 2*t^8.89 - t^4.27/y - t^6.59/y + t^7.51/y + t^7.95/y + t^8.08/y + t^8.22/y + t^8.3/y + (2*t^8.43)/y + t^8.57/y + (2*t^8.65)/y + (2*t^8.78)/y - t^8.92/y - t^4.27*y - t^6.59*y + t^7.51*y + t^7.95*y + t^8.08*y + t^8.22*y + t^8.3*y + 2*t^8.43*y + t^8.57*y + 2*t^8.65*y + 2*t^8.78*y - t^8.92*y | g1^6*t^2.19 + t^2.32/g1^32 + t^2.89/g1^14 + g1^14*t^3.11 + t^3.24/g1^24 + 2*g1^4*t^3.46 + t^3.81/g1^6 + g1^22*t^4.03 + g1^12*t^4.38 + t^4.51/g1^26 + t^4.65/g1^64 + g1^2*t^4.73 + t^5.08/g1^8 + t^5.22/g1^46 + g1^20*t^5.3 + t^5.43/g1^18 + t^5.57/g1^56 + g1^10*t^5.65 + (2*t^5.78)/g1^28 - t^6. + (2*t^6.13)/g1^38 + g1^28*t^6.22 + (2*t^6.35)/g1^10 + t^6.49/g1^48 + g1^18*t^6.57 + (2*t^6.7)/g1^20 + t^6.84/g1^58 + 2*g1^8*t^6.92 + t^6.97/g1^96 + t^7.05/g1^30 + t^7.27/g1^2 + t^7.41/g1^40 + g1^26*t^7.49 + t^7.54/g1^78 + t^7.62/g1^12 + t^7.76/g1^50 + g1^16*t^7.84 + t^7.89/g1^88 + t^7.97/g1^22 + g1^44*t^8.05 + (2*t^8.11)/g1^60 - g1^6*t^8.19 - t^8.32/g1^32 + (2*t^8.46)/g1^70 + t^8.54/g1^4 + (2*t^8.68)/g1^42 + t^8.81/g1^80 - (2*t^8.89)/g1^14 - t^4.27/(g1^2*y) - t^6.59/(g1^34*y) + t^7.51/(g1^26*y) + (g1^30*t^7.95)/y + t^8.08/(g1^8*y) + t^8.22/(g1^46*y) + (g1^20*t^8.3)/y + (2*t^8.43)/(g1^18*y) + t^8.57/(g1^56*y) + (2*g1^10*t^8.65)/y + (2*t^8.78)/(g1^28*y) - t^8.92/(g1^66*y) - (t^4.27*y)/g1^2 - (t^6.59*y)/g1^34 + (t^7.51*y)/g1^26 + g1^30*t^7.95*y + (t^8.08*y)/g1^8 + (t^8.22*y)/g1^46 + g1^20*t^8.3*y + (2*t^8.43*y)/g1^18 + (t^8.57*y)/g1^56 + 2*g1^10*t^8.65*y + (2*t^8.78*y)/g1^28 - (t^8.92*y)/g1^66 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4926 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ + $ M_5M_7$ | 0.5474 | 0.6778 | 0.8076 | [X:[1.2174], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + 2*t^2.87 + t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + t^4.7 + 2*t^4.96 + t^5.22 + t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 6660/12167, c: 8247/12167, X1: 28/23, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4928 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ + $ M_5M_8$ | 0.5639 | 0.6982 | 0.8076 | [X:[1.3194], M:[0.6806, 1.149, 1.0214, 0.7235, 0.9786, 1.2765, 0.8082, 1.0214], q:[0.9362, 0.3832], qb:[0.3403, 0.6383], phi:[0.4255]] | t^2.17 + t^2.42 + 2*t^3.06 + t^3.32 + 2*t^3.45 + t^3.83 + t^3.96 + t^4.34 + t^4.59 + t^4.72 + t^4.85 + 2*t^5.23 + 2*t^5.49 + t^5.62 + t^5.74 + t^5.87 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 4927 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ + $ M_7^2$ | 0.5376 | 0.6665 | 0.8066 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.69 + t^4.88 + t^5.06 + t^5.25 + t^5.44 + t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 70461/131072, c: 87357/131072, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2021 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.5708 | 0.7142 | 0.7992 | [X:[], M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | t^2.07 + t^2.16 + t^2.96 + t^3.04 + t^3.35 + 2*t^3.44 + t^3.53 + t^3.84 + t^4.14 + t^4.23 + t^4.32 + t^4.72 + t^5.03 + 2*t^5.12 + t^5.21 + t^5.42 + 2*t^5.51 + 2*t^5.6 + t^5.69 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail |