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 |
|---|---|---|---|---|---|---|---|---|---|
| 48231 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.3818, 0.6726, 1.1454, 0.8546, 0.7181], q:[0.8773, 0.7409], qb:[0.45, 0.4045], phi:[0.3818]] | [X:[[4]], M:[[-4], [-28], [-12], [12], [-18]], q:[[17], [-13]], qb:[[11], [1]], phi:[[-4]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_5$, $ \phi_1q_2^2$, $ M_2q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | t^2.02 + t^2.15 + t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + t^3.71 + t^3.85 + t^4.04 + t^4.17 + 2*t^4.31 + t^4.45 + 2*t^4.58 + t^4.72 + 2*t^4.85 + t^5.13 + t^5.45 + 3*t^5.59 + 3*t^5.73 + 2*t^5.86 + t^6.05 + t^6.14 + t^6.19 + 2*t^6.33 + t^6.41 + 2*t^6.46 + 3*t^6.6 + 2*t^6.74 + 4*t^6.87 + 2*t^7.01 + 4*t^7.15 + t^7.42 + t^7.47 - t^7.55 + 3*t^7.61 + t^7.69 + 4*t^7.74 + 4*t^7.88 + t^8.02 + t^8.07 + t^8.15 + t^8.21 + 2*t^8.34 + 2*t^8.48 - 2*t^8.56 + 4*t^8.62 + 3*t^8.75 - t^8.84 + 5*t^8.89 + t^8.97 - t^4.15/y - t^6.16/y - t^6.3/y - t^6.44/y + t^7.17/y + t^7.31/y + t^7.45/y + t^7.58/y + t^7.72/y + (2*t^7.85)/y + t^7.99/y + t^8.13/y - t^8.18/y - t^8.32/y - t^8.45/y + (2*t^8.59)/y + (3*t^8.73)/y + (4*t^8.86)/y - t^4.15*y - t^6.16*y - t^6.3*y - t^6.44*y + t^7.17*y + t^7.31*y + t^7.45*y + t^7.58*y + t^7.72*y + 2*t^7.85*y + t^7.99*y + t^8.13*y - t^8.18*y - t^8.32*y - t^8.45*y + 2*t^8.59*y + 3*t^8.73*y + 4*t^8.86*y | t^2.02/g1^28 + t^2.15/g1^18 + t^2.29/g1^8 + g1^12*t^2.56 + t^3.44/g1^12 + (2*t^3.57)/g1^2 + g1^8*t^3.71 + g1^18*t^3.85 + t^4.04/g1^56 + t^4.17/g1^46 + (2*t^4.31)/g1^36 + t^4.45/g1^26 + (2*t^4.58)/g1^16 + t^4.72/g1^6 + 2*g1^4*t^4.85 + g1^24*t^5.13 + t^5.45/g1^40 + (3*t^5.59)/g1^30 + (3*t^5.73)/g1^20 + (2*t^5.86)/g1^10 + t^6.05/g1^84 + g1^10*t^6.14 + t^6.19/g1^74 + (2*t^6.33)/g1^64 + g1^30*t^6.41 + (2*t^6.46)/g1^54 + (3*t^6.6)/g1^44 + (2*t^6.74)/g1^34 + (4*t^6.87)/g1^24 + (2*t^7.01)/g1^14 + (4*t^7.15)/g1^4 + g1^16*t^7.42 + t^7.47/g1^68 - g1^26*t^7.55 + (3*t^7.61)/g1^58 + g1^36*t^7.69 + (4*t^7.74)/g1^48 + (4*t^7.88)/g1^38 + t^8.02/g1^28 + t^8.07/g1^112 + t^8.15/g1^18 + t^8.21/g1^102 + (2*t^8.34)/g1^92 + (2*t^8.48)/g1^82 - 2*g1^12*t^8.56 + (4*t^8.62)/g1^72 + (3*t^8.75)/g1^62 - g1^32*t^8.84 + (5*t^8.89)/g1^52 + g1^42*t^8.97 - t^4.15/(g1^4*y) - t^6.16/(g1^32*y) - t^6.3/(g1^22*y) - t^6.44/(g1^12*y) + t^7.17/(g1^46*y) + t^7.31/(g1^36*y) + t^7.45/(g1^26*y) + t^7.58/(g1^16*y) + t^7.72/(g1^6*y) + (2*g1^4*t^7.85)/y + (g1^14*t^7.99)/y + (g1^24*t^8.13)/y - t^8.18/(g1^60*y) - t^8.32/(g1^50*y) - t^8.45/(g1^40*y) + (2*t^8.59)/(g1^30*y) + (3*t^8.73)/(g1^20*y) + (4*t^8.86)/(g1^10*y) - (t^4.15*y)/g1^4 - (t^6.16*y)/g1^32 - (t^6.3*y)/g1^22 - (t^6.44*y)/g1^12 + (t^7.17*y)/g1^46 + (t^7.31*y)/g1^36 + (t^7.45*y)/g1^26 + (t^7.58*y)/g1^16 + (t^7.72*y)/g1^6 + 2*g1^4*t^7.85*y + g1^14*t^7.99*y + g1^24*t^8.13*y - (t^8.18*y)/g1^60 - (t^8.32*y)/g1^50 - (t^8.45*y)/g1^40 + (2*t^8.59*y)/g1^30 + (3*t^8.73*y)/g1^20 + (4*t^8.86*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55970 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_2M_5$ | 0.5549 | 0.6908 | 0.8033 | [X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]] | t^2.09 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.7 + t^4.96 + 3*t^5.22 + t^5.48 + 3*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 54015/97336, c: 8405/12167, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23} |
| 55971 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1^2$ | 0.6228 | 0.765 | 0.8141 | [X:[1.6168], M:[0.3832, 0.6821, 1.1495, 0.8505, 0.7242, 1.2337], q:[0.8716, 0.7453], qb:[0.4463, 0.4042], phi:[0.3832]] | t^2.05 + t^2.17 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.7 + t^3.83 + t^4.09 + t^4.22 + t^4.35 + t^4.6 + t^4.72 + t^4.85 + t^5.1 + t^5.49 + 3*t^5.62 + 3*t^5.75 + t^5.87 - t^6. - t^4.15/y - t^4.15*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46678 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.3823, 0.676, 1.1468, 0.8532, 0.7046], q:[0.8831, 0.7346], qb:[0.4409, 0.4122], phi:[0.3823]] | t^2.03 + t^2.11 + t^2.29 + t^2.56 + t^3.44 + t^3.53 + t^3.62 + t^3.71 + t^3.79 + t^4.06 + t^4.14 + t^4.23 + t^4.32 + t^4.41 + 2*t^4.59 + t^4.67 + 2*t^4.85 + t^5.12 + t^5.47 + 2*t^5.55 + t^5.64 + t^5.65 + 2*t^5.73 + 2*t^5.82 + t^5.91 - t^6. - t^4.15/y - t^4.15*y | detail |