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 |
|---|---|---|---|---|---|---|---|---|---|
| 3083 | 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.672 | 0.8561 | 0.785 | [X:[], M:[0.7561, 1.0273, 1.1894, 1.1348, 0.8106, 0.8652, 0.703], q:[0.4871, 0.7568], qb:[0.378, 0.4326], phi:[0.4864]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [16]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1q_1^2$, $ M_1^2$, $ M_5M_7$, $ M_1M_5$, $ M_6M_7$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_6q_1\tilde{q}_2$, $ M_2M_5$, $ M_4M_7$, $ q_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_3M_7$, $ M_1M_3$, $ M_4M_5$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$ | $M_1\phi_1\tilde{q}_1^2$ | 0 | t^2.11 + t^2.27 + t^2.43 + t^2.6 + t^2.76 + t^3.08 + t^3.4 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 2*t^4.86 + t^4.87 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.52 + 2*t^5.68 + 2*t^5.84 + 3*t^6.16 + 2*t^6.32 + 2*t^6.33 + 5*t^6.49 + 5*t^6.65 + t^6.8 + 5*t^6.81 + 2*t^6.97 + 3*t^6.98 + 2*t^7.13 + 3*t^7.14 + 4*t^7.3 + t^7.45 + 3*t^7.46 + 5*t^7.62 + t^7.63 + 2*t^7.78 + 4*t^7.79 + 5*t^7.95 + 3*t^8.11 + t^8.26 + 2*t^8.27 + t^8.28 - t^8.43 + 5*t^8.44 + 3*t^8.59 + 3*t^8.6 + 3*t^8.75 + 2*t^8.76 + t^8.91 + 7*t^8.92 - t^4.46/y - t^6.57/y - t^6.73/y + t^7.38/y + t^7.54/y + (2*t^7.7)/y + t^7.86/y + t^7.87/y + (2*t^8.03)/y + (3*t^8.19)/y + (3*t^8.35)/y + (2*t^8.51)/y + t^8.67/y + t^8.68/y + (3*t^8.84)/y - t^4.46*y - t^6.57*y - t^6.73*y + t^7.38*y + t^7.54*y + 2*t^7.7*y + t^7.86*y + t^7.87*y + 2*t^8.03*y + 3*t^8.19*y + 3*t^8.35*y + 2*t^8.51*y + t^8.67*y + t^8.68*y + 3*t^8.84*y | g1^16*t^2.11 + t^2.27/g1^34 + t^2.43/g1^10 + g1^14*t^2.6 + g1^38*t^2.76 + g1^12*t^3.08 + t^3.4/g1^14 + g1^10*t^3.57 + t^3.73/g1^40 + 2*g1^8*t^4.05 + 2*g1^32*t^4.22 + t^4.38/g1^18 + g1^56*t^4.38 + t^4.54/g1^68 + g1^6*t^4.54 + t^4.7/g1^44 + g1^30*t^4.7 + (2*t^4.86)/g1^20 + g1^54*t^4.87 + 2*g1^4*t^5.03 + 3*g1^28*t^5.19 + t^5.35/g1^22 + g1^52*t^5.35 + 2*g1^2*t^5.51 + g1^76*t^5.52 + 2*g1^26*t^5.68 + t^5.84/g1^24 + g1^50*t^5.84 - t^6. + t^6./g1^74 + t^6.16/g1^50 + 2*g1^24*t^6.16 + (2*t^6.32)/g1^26 + 2*g1^48*t^6.33 + (4*t^6.49)/g1^2 + g1^72*t^6.49 + t^6.65/g1^52 + 4*g1^22*t^6.65 + t^6.8/g1^102 + t^6.81/g1^28 + 4*g1^46*t^6.81 + t^6.97/g1^78 + t^6.97/g1^4 + 3*g1^70*t^6.98 + (2*t^7.13)/g1^54 + 2*g1^20*t^7.14 + g1^94*t^7.14 + t^7.3/g1^30 + 3*g1^44*t^7.3 + t^7.45/g1^80 + (2*t^7.46)/g1^6 + g1^68*t^7.46 + t^7.62/g1^56 + 4*g1^18*t^7.62 + g1^92*t^7.63 + (2*t^7.78)/g1^32 + 4*g1^42*t^7.79 + (2*t^7.95)/g1^8 + 3*g1^66*t^7.95 + 2*g1^16*t^8.11 + g1^90*t^8.11 + t^8.26/g1^108 - (2*t^8.27)/g1^34 + 4*g1^40*t^8.27 + g1^114*t^8.28 + t^8.43/g1^84 - (2*t^8.43)/g1^10 + 5*g1^64*t^8.44 + (3*t^8.59)/g1^60 + 3*g1^88*t^8.6 + (3*t^8.75)/g1^36 + g1^38*t^8.76 + g1^112*t^8.76 + t^8.91/g1^86 + (4*t^8.92)/g1^12 + 3*g1^62*t^8.92 - t^4.46/(g1^6*y) - (g1^10*t^6.57)/y - t^6.73/(g1^40*y) + t^7.38/(g1^18*y) + (g1^6*t^7.54)/y + t^7.7/(g1^44*y) + (g1^30*t^7.7)/y + t^7.86/(g1^20*y) + (g1^54*t^7.87)/y + (2*g1^4*t^8.03)/y + (3*g1^28*t^8.19)/y + (2*t^8.35)/(g1^22*y) + (g1^52*t^8.35)/y + (2*g1^2*t^8.51)/y + t^8.67/(g1^48*y) + (g1^26*t^8.68)/y + (2*t^8.84)/(g1^24*y) + (g1^50*t^8.84)/y - (t^4.46*y)/g1^6 - g1^10*t^6.57*y - (t^6.73*y)/g1^40 + (t^7.38*y)/g1^18 + g1^6*t^7.54*y + (t^7.7*y)/g1^44 + g1^30*t^7.7*y + (t^7.86*y)/g1^20 + g1^54*t^7.87*y + 2*g1^4*t^8.03*y + 3*g1^28*t^8.19*y + (2*t^8.35*y)/g1^22 + g1^52*t^8.35*y + 2*g1^2*t^8.51*y + (t^8.67*y)/g1^48 + g1^26*t^8.68*y + (2*t^8.84*y)/g1^24 + g1^50*t^8.84*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4950 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_1X_1$ | 0.5851 | 0.7286 | 0.803 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 2*t^4.89 + 2*t^5.11 + t^5.33 + 3*t^5.56 + 4*t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 10237/17496, c: 3187/4374, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2022 | 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_2^2$ | 0.6516 | 0.817 | 0.7975 | [X:[], M:[0.7525, 1.0285, 1.1904, 1.1334, 0.8096, 0.8666], q:[0.4904, 0.7571], qb:[0.3762, 0.4333], phi:[0.4857]] | t^2.26 + t^2.43 + t^2.6 + t^2.77 + t^3.09 + t^3.4 + t^3.57 + t^3.71 + t^3.89 + 2*t^4.06 + t^4.23 + t^4.4 + t^4.51 + t^4.69 + 2*t^4.86 + 2*t^5.03 + 2*t^5.2 + t^5.34 + t^5.37 + t^5.51 + t^5.54 + t^5.69 + t^5.86 + t^5.97 - t^6. - t^4.46/y - t^4.46*y | detail |