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 |
|---|---|---|---|---|---|---|---|---|---|
| 3146 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6104 | 0.7697 | 0.793 | [X:[1.5916], M:[0.4084, 1.2253, 0.7747, 0.8591, 1.0, 0.9578, 0.676], q:[0.9084, 0.6831], qb:[0.3169, 0.4578], phi:[0.4084]] | [X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5], [-9]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2$, $ M_7^2$, $ q_1\tilde{q}_2$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_4M_7$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ X_1$, $ M_3M_4$, $ M_6M_7$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3M_6$, $ M_3M_5$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_7$, $ M_6^2$, $ M_5M_6$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.03 + t^2.32 + t^2.45 + t^2.58 + t^2.87 + t^3. + t^3.55 + t^3.68 + t^4.06 + t^4.1 + t^4.35 + t^4.48 + t^4.61 + t^4.65 + 2*t^4.77 + 3*t^4.9 + 2*t^5.03 + t^5.15 + t^5.2 + 2*t^5.32 + t^5.45 + t^5.58 + t^5.7 + t^5.75 + t^5.87 + t^6.08 + 2*t^6.13 + t^6.25 + t^6.38 + t^6.42 + t^6.51 + t^6.55 + t^6.63 + t^6.68 + t^6.8 + 3*t^6.93 + t^6.97 + 2*t^7.06 + t^7.18 + 2*t^7.23 + 5*t^7.35 + 3*t^7.48 + 2*t^7.61 + 2*t^7.65 + 2*t^7.73 + 3*t^7.77 + t^7.9 + t^8.07 + t^8.11 + 2*t^8.15 + 2*t^8.2 + t^8.28 - t^8.32 + t^8.41 + t^8.53 + t^8.62 + t^8.66 + 2*t^8.7 + 2*t^8.83 - 2*t^8.87 + 3*t^8.96 - t^4.23/y - t^6.25/y - t^6.68/y - t^6.8/y - t^7.1/y + (2*t^7.35)/y + t^7.48/y + t^7.61/y + t^7.65/y + (2*t^7.77)/y + (2*t^7.9)/y + (2*t^8.03)/y + (2*t^8.2)/y - t^8.28/y + (2*t^8.32)/y + (2*t^8.45)/y + (2*t^8.58)/y - t^8.83/y + (2*t^8.87)/y - t^4.23*y - t^6.25*y - t^6.68*y - t^6.8*y - t^7.1*y + 2*t^7.35*y + t^7.48*y + t^7.61*y + t^7.65*y + 2*t^7.77*y + 2*t^7.9*y + 2*t^8.03*y + 2*t^8.2*y - t^8.28*y + 2*t^8.32*y + 2*t^8.45*y + 2*t^8.58*y - t^8.83*y + 2*t^8.87*y | t^2.03/g1^9 + g1^3*t^2.32 + t^2.45/g1^2 + t^2.58/g1^7 + g1^5*t^2.87 + t^3. + g1^2*t^3.55 + t^3.68/g1^3 + t^4.06/g1^18 + g1^4*t^4.1 + t^4.35/g1^6 + t^4.48/g1^11 + t^4.61/g1^16 + g1^6*t^4.65 + 2*g1*t^4.77 + (3*t^4.9)/g1^4 + (2*t^5.03)/g1^9 + t^5.15/g1^14 + g1^8*t^5.2 + 2*g1^3*t^5.32 + t^5.45/g1^2 + t^5.58/g1^7 + t^5.7/g1^12 + g1^10*t^5.75 + g1^5*t^5.87 + t^6.08/g1^27 + (2*t^6.13)/g1^5 + t^6.25/g1^10 + t^6.38/g1^15 + g1^7*t^6.42 + t^6.51/g1^20 + g1^2*t^6.55 + t^6.63/g1^25 + t^6.68/g1^3 + t^6.8/g1^8 + (3*t^6.93)/g1^13 + g1^9*t^6.97 + (2*t^7.06)/g1^18 + t^7.18/g1^23 + (2*t^7.23)/g1 + (5*t^7.35)/g1^6 + (3*t^7.48)/g1^11 + (2*t^7.61)/g1^16 + 2*g1^6*t^7.65 + (2*t^7.73)/g1^21 + 3*g1*t^7.77 + t^7.9/g1^4 + g1^13*t^8.07 + t^8.11/g1^36 + (2*t^8.15)/g1^14 + 2*g1^8*t^8.2 + t^8.28/g1^19 - g1^3*t^8.32 + t^8.41/g1^24 + t^8.53/g1^29 + g1^15*t^8.62 + t^8.66/g1^34 + (2*t^8.7)/g1^12 + (2*t^8.83)/g1^17 - 2*g1^5*t^8.87 + (3*t^8.96)/g1^22 - t^4.23/(g1*y) - t^6.25/(g1^10*y) - t^6.68/(g1^3*y) - t^6.8/(g1^8*y) - (g1^4*t^7.1)/y + (2*t^7.35)/(g1^6*y) + t^7.48/(g1^11*y) + t^7.61/(g1^16*y) + (g1^6*t^7.65)/y + (2*g1*t^7.77)/y + (2*t^7.9)/(g1^4*y) + (2*t^8.03)/(g1^9*y) + (2*g1^8*t^8.2)/y - t^8.28/(g1^19*y) + (2*g1^3*t^8.32)/y + (2*t^8.45)/(g1^2*y) + (2*t^8.58)/(g1^7*y) - t^8.83/(g1^17*y) + (2*g1^5*t^8.87)/y - (t^4.23*y)/g1 - (t^6.25*y)/g1^10 - (t^6.68*y)/g1^3 - (t^6.8*y)/g1^8 - g1^4*t^7.1*y + (2*t^7.35*y)/g1^6 + (t^7.48*y)/g1^11 + (t^7.61*y)/g1^16 + g1^6*t^7.65*y + 2*g1*t^7.77*y + (2*t^7.9*y)/g1^4 + (2*t^8.03*y)/g1^9 + 2*g1^8*t^8.2*y - (t^8.28*y)/g1^19 + 2*g1^3*t^8.32*y + (2*t^8.45*y)/g1^2 + (2*t^8.58*y)/g1^7 - (t^8.83*y)/g1^17 + 2*g1^5*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5004 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_4M_7$ | 0.5645 | 0.7129 | 0.7918 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 1.0, 0.8125, 0.9375], q:[0.9375, 0.625], qb:[0.375, 0.3125], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 2*t^5.62 + 3*t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 36993/65536, c: 46721/65536, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 1, M6: 13/16, M7: 15/16, q1: 15/16, q2: 5/8, qb1: 3/8, qb2: 5/16, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2085 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5896 | 0.7288 | 0.809 | [X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]] | t^2.32 + t^2.45 + t^2.59 + t^2.86 + t^3. + t^3.55 + t^3.68 + t^3.96 + t^4.09 + t^4.64 + 2*t^4.77 + 2*t^4.91 + t^5.04 + 2*t^5.18 + 2*t^5.32 + t^5.45 + t^5.73 + t^5.86 - t^4.23/y - t^4.23*y | detail |