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 |
|---|---|---|---|---|---|---|---|---|---|
| 4397 | 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$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6725 | 0.8379 | 0.8027 | [X:[], M:[0.7722, 1.097, 1.0337, 0.8396, 0.9663, 1.1604, 1.0337, 0.7089], q:[0.7743, 0.4535], qb:[0.3861, 0.5802], phi:[0.4515]] | [X:[], M:[[30], [-4], [-22], [-14], [22], [14], [-22], [12]], q:[[-1], [-29]], qb:[[15], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_1$, $ M_4$, $ M_3$, $ M_7$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_4M_8$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3M_8$, $ M_7M_8$, $ M_1M_3$, $ M_1M_7$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_6M_8$, $ M_3M_4$, $ M_4M_7$, $ M_1M_6$, $ M_8\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | t^2.13 + t^2.32 + t^2.52 + 2*t^3.1 + t^3.29 + t^3.48 + t^3.67 + t^4.06 + t^4.08 + 2*t^4.25 + t^4.44 + t^4.46 + t^4.63 + t^4.65 + 2*t^4.84 + t^5.04 + 2*t^5.23 + 2*t^5.42 + 2*t^5.61 + t^5.62 + t^5.8 + t^5.81 + t^5.99 - 2*t^6. + t^6.19 + 3*t^6.2 + 2*t^6.38 + 2*t^6.39 + 2*t^6.57 + 2*t^6.58 + t^6.59 + t^6.76 + 3*t^6.77 + t^6.95 + 2*t^6.96 - t^6.97 + 2*t^7.15 + t^7.16 + 2*t^7.18 + t^7.34 + 3*t^7.35 + 3*t^7.54 + 2*t^7.56 + 3*t^7.73 + t^7.75 + 3*t^7.92 + t^7.94 + t^8.11 - t^8.13 + t^8.14 + t^8.15 + t^8.3 - t^8.32 + 3*t^8.33 + 3*t^8.51 + t^8.52 + t^8.53 + 2*t^8.7 + 2*t^8.71 + t^8.72 + 2*t^8.89 + 2*t^8.9 + 2*t^8.91 - t^4.35/y - t^6.48/y - t^6.67/y + t^7.25/y + t^7.44/y - t^7.46/y + t^7.65/y + t^7.84/y + t^8.04/y + (3*t^8.23)/y + (3*t^8.42)/y + t^8.61/y + (2*t^8.62)/y + t^8.8/y + t^8.81/y - t^4.35*y - t^6.48*y - t^6.67*y + t^7.25*y + t^7.44*y - t^7.46*y + t^7.65*y + t^7.84*y + t^8.04*y + 3*t^8.23*y + 3*t^8.42*y + t^8.61*y + 2*t^8.62*y + t^8.8*y + t^8.81*y | g1^12*t^2.13 + g1^30*t^2.32 + t^2.52/g1^14 + (2*t^3.1)/g1^22 + t^3.29/g1^4 + g1^14*t^3.48 + g1^32*t^3.67 + g1^6*t^4.06 + t^4.08/g1^56 + 2*g1^24*t^4.25 + g1^42*t^4.44 + t^4.46/g1^20 + g1^60*t^4.63 + t^4.65/g1^2 + 2*g1^16*t^4.84 + t^5.04/g1^28 + (2*t^5.23)/g1^10 + 2*g1^8*t^5.42 + 2*g1^26*t^5.61 + t^5.62/g1^36 + g1^44*t^5.8 + t^5.81/g1^18 + g1^62*t^5.99 - 2*t^6. + g1^18*t^6.19 + (3*t^6.2)/g1^44 + 2*g1^36*t^6.38 + (2*t^6.39)/g1^26 + 2*g1^54*t^6.57 + (2*t^6.58)/g1^8 + t^6.59/g1^70 + g1^72*t^6.76 + 3*g1^10*t^6.77 + g1^90*t^6.95 + 2*g1^28*t^6.96 - t^6.97/g1^34 + 2*g1^46*t^7.15 + t^7.16/g1^16 + (2*t^7.18)/g1^78 + g1^64*t^7.34 + 3*g1^2*t^7.35 + 3*g1^20*t^7.54 + (2*t^7.56)/g1^42 + 3*g1^38*t^7.73 + t^7.75/g1^24 + 3*g1^56*t^7.92 + t^7.94/g1^6 + g1^74*t^8.11 - g1^12*t^8.13 + t^8.14/g1^50 + t^8.15/g1^112 + g1^92*t^8.3 - g1^30*t^8.32 + (3*t^8.33)/g1^32 + 3*g1^48*t^8.51 + t^8.52/g1^14 + t^8.53/g1^76 + 2*g1^66*t^8.7 + 2*g1^4*t^8.71 + t^8.72/g1^58 + 2*g1^84*t^8.89 + 2*g1^22*t^8.9 + (2*t^8.91)/g1^40 - (g1^2*t^4.35)/y - (g1^14*t^6.48)/y - (g1^32*t^6.67)/y + (g1^24*t^7.25)/y + (g1^42*t^7.44)/y - t^7.46/(g1^20*y) + t^7.65/(g1^2*y) + (g1^16*t^7.84)/y + t^8.04/(g1^28*y) + (3*t^8.23)/(g1^10*y) + (3*g1^8*t^8.42)/y + (g1^26*t^8.61)/y + (2*t^8.62)/(g1^36*y) + (g1^44*t^8.8)/y + t^8.81/(g1^18*y) - g1^2*t^4.35*y - g1^14*t^6.48*y - g1^32*t^6.67*y + g1^24*t^7.25*y + g1^42*t^7.44*y - (t^7.46*y)/g1^20 + (t^7.65*y)/g1^2 + g1^16*t^7.84*y + (t^8.04*y)/g1^28 + (3*t^8.23*y)/g1^10 + 3*g1^8*t^8.42*y + g1^26*t^8.61*y + (2*t^8.62*y)/g1^36 + g1^44*t^8.8*y + (t^8.81*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5895 | $M_1q_1q_2$ + $ 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$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6725 | 0.8378 | 0.8027 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 1.0323, 0.7097], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | t^2.13 + t^2.32 + t^2.52 + 2*t^3.1 + t^3.29 + t^3.48 + t^3.68 + 2*t^4.06 + 2*t^4.26 + 2*t^4.45 + 2*t^4.65 + 2*t^4.84 + t^5.03 + 2*t^5.23 + 2*t^5.42 + 3*t^5.61 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 160275/238328, c: 49919/59582, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 32/31, M8: 22/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2381 | 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$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6522 | 0.7994 | 0.8159 | [X:[], M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.33 + t^2.51 + 2*t^3.09 + t^3.29 + t^3.49 + t^3.68 + t^3.87 + t^4.06 + t^4.07 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.42 + t^5.61 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*y | detail |