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 |
|---|---|---|---|---|---|---|---|---|---|
| 3834 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6181 | 0.7782 | 0.7943 | [X:[1.3595], M:[0.6405, 1.1198, 0.8003, 1.0399, 0.9601, 1.0399, 0.6797], q:[0.78, 0.5795], qb:[0.6202, 0.26], phi:[0.4401]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [4], [18]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ X_1$, $ q_1\tilde{q}_1$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_7$, $ M_6M_7$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1q_2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.4 + t^2.52 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.84 + 2*t^4.08 + t^4.2 + t^4.44 + t^4.56 + t^4.68 + 2*t^4.8 + t^4.92 + 2*t^5.04 + 3*t^5.16 + t^5.28 + t^5.4 + 2*t^5.52 + 2*t^5.64 + 2*t^5.76 + t^5.88 - 2*t^6. + t^6.12 + 3*t^6.24 + 3*t^6.48 + 2*t^6.6 + 2*t^6.72 + 2*t^6.84 + t^6.96 + 6*t^7.2 + 2*t^7.32 + 3*t^7.44 + 3*t^7.56 + 4*t^7.68 + t^7.8 + 5*t^7.92 - t^8.04 + 5*t^8.16 + 4*t^8.28 - t^8.4 + 2*t^8.64 + t^8.76 + 4*t^8.88 - t^4.32/y - t^6.36/y - t^6.72/y + t^7.2/y + t^7.56/y + t^7.68/y + (2*t^7.92)/y + t^8.04/y + (3*t^8.16)/y + t^8.28/y + (2*t^8.52)/y + (2*t^8.64)/y + (2*t^8.76)/y + (2*t^8.88)/y - t^4.32*y - t^6.36*y - t^6.72*y + t^7.2*y + t^7.56*y + t^7.68*y + 2*t^7.92*y + t^8.04*y + 3*t^8.16*y + t^8.28*y + 2*t^8.52*y + 2*t^8.64*y + 2*t^8.76*y + 2*t^8.88*y | g1^18*t^2.04 + t^2.4/g1^20 + g1^34*t^2.52 + t^2.64/g1^12 + 2*g1^4*t^3.12 + g1^12*t^3.36 + g1^28*t^3.84 + 2*g1^36*t^4.08 + t^4.2/g1^10 + t^4.44/g1^2 + g1^52*t^4.56 + g1^6*t^4.68 + t^4.8/g1^40 + g1^60*t^4.8 + g1^14*t^4.92 + t^5.04/g1^32 + g1^68*t^5.04 + 3*g1^22*t^5.16 + t^5.28/g1^24 + g1^30*t^5.4 + (2*t^5.52)/g1^16 + 2*g1^38*t^5.64 + (2*t^5.76)/g1^8 + g1^46*t^5.88 - 2*t^6. - t^6.12/g1^46 + 2*g1^54*t^6.12 + 3*g1^8*t^6.24 - t^6.36/g1^38 + g1^62*t^6.36 + 3*g1^16*t^6.48 + 2*g1^70*t^6.6 + 2*g1^24*t^6.72 + t^6.84/g1^22 + g1^78*t^6.84 + g1^32*t^6.96 - t^7.08/g1^14 + g1^86*t^7.08 + t^7.2/g1^60 + 5*g1^40*t^7.2 + t^7.32/g1^6 + g1^94*t^7.32 + 3*g1^48*t^7.44 + 2*g1^2*t^7.56 + g1^102*t^7.56 + t^7.68/g1^44 + 3*g1^56*t^7.68 + g1^10*t^7.8 + (2*t^7.92)/g1^36 + 3*g1^64*t^7.92 - g1^18*t^8.04 + 5*g1^72*t^8.16 + 4*g1^26*t^8.28 - (2*t^8.4)/g1^20 + g1^80*t^8.4 - t^8.64/g1^12 + 3*g1^88*t^8.64 - (2*t^8.76)/g1^58 + 3*g1^42*t^8.76 + t^8.88/g1^4 + 3*g1^96*t^8.88 - t^4.32/(g1^6*y) - (g1^12*t^6.36)/y - t^6.72/(g1^26*y) + t^7.2/(g1^10*y) + (g1^52*t^7.56)/y + (g1^6*t^7.68)/y + (2*g1^14*t^7.92)/y + t^8.04/(g1^32*y) + (3*g1^22*t^8.16)/y + t^8.28/(g1^24*y) + (2*t^8.52)/(g1^16*y) + (2*g1^38*t^8.64)/y + (2*t^8.76)/(g1^8*y) + (2*g1^46*t^8.88)/y - (t^4.32*y)/g1^6 - g1^12*t^6.36*y - (t^6.72*y)/g1^26 + (t^7.2*y)/g1^10 + g1^52*t^7.56*y + g1^6*t^7.68*y + 2*g1^14*t^7.92*y + (t^8.04*y)/g1^32 + 3*g1^22*t^8.16*y + (t^8.28*y)/g1^24 + (2*t^8.52*y)/g1^16 + 2*g1^38*t^8.64*y + (2*t^8.76*y)/g1^8 + 2*g1^46*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 5441 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6173 | 0.7749 | 0.7966 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 1.0435, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.91 + 3*t^4.17 + t^4.43 + 3*t^4.7 + 3*t^4.96 + 5*t^5.22 + 3*t^5.48 + 4*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 60087/97336, c: 18857/24334, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 24/23, M7: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3364 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_5M_6$ | 0.5974 | 0.7373 | 0.8102 | [X:[1.3618], M:[0.6382, 1.1206, 0.799, 1.0402, 0.9598, 1.0402], q:[0.7802, 0.5817], qb:[0.6193, 0.2601], phi:[0.4397]] | t^2.4 + t^2.53 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.84 + t^3.96 + t^4.09 + t^4.2 + t^4.79 + t^4.81 + t^4.92 + t^5.04 + t^5.05 + t^5.16 + t^5.28 + 2*t^5.52 + 2*t^5.65 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail |