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 |
|---|---|---|---|---|---|---|---|---|---|
| 45776 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ | 0.9394 | 1.0045 | 0.9352 | [X:[1.653, 1.4795], M:[0.8675, 0.694], q:[0.4658], qb:[0.4932], phi:[0.1735]] | [X:[[2], [3]], M:[[-5], [-4]], q:[[5]], qb:[[1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_1\tilde{q}_1$, $ M_2^2$, $ X_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ X_1$, $ M_1^2$, $ M_1q_1\tilde{q}_1$, $ \phi_1^3q_1^3$, $ q_1^2\tilde{q}_1^2$ | . | -1 | t^2.08 + t^2.6 + t^2.88 + t^4.16 + t^4.44 + t^4.68 + 2*t^4.96 + t^5.21 + t^5.48 + 2*t^5.75 - t^6. + t^6.25 + t^6.77 + 3*t^7.04 + t^7.29 + t^7.32 + 3*t^7.56 + t^7.81 + 2*t^7.84 + t^8.33 - 3*t^8.6 + 2*t^8.63 + t^8.85 - 2*t^8.88 + t^7.56/y^2 - t^8.6/y^2 - t^3.52/y - t^4.04/y - t^5.6/y - (2*t^6.12)/y - t^6.4/y - t^6.64/y + t^7.44/y + t^7.96/y - (2*t^8.21)/y - t^8.48/y - (2*t^8.73)/y - t^3.52*y - t^4.04*y - t^5.6*y - 2*t^6.12*y - t^6.4*y - t^6.64*y + t^7.44*y + t^7.96*y - 2*t^8.21*y - t^8.48*y - 2*t^8.73*y + t^7.56*y^2 - t^8.6*y^2 | t^2.08/g1^4 + t^2.6/g1^5 + g1^6*t^2.88 + t^4.16/g1^8 + g1^3*t^4.44 + t^4.68/g1^9 + 2*g1^2*t^4.96 + t^5.21/g1^10 + g1*t^5.48 + 2*g1^12*t^5.75 - t^6. + t^6.25/g1^12 + t^6.77/g1^13 + (3*t^7.04)/g1^2 + t^7.29/g1^14 + g1^9*t^7.32 + (3*t^7.56)/g1^3 + t^7.81/g1^15 + 2*g1^8*t^7.84 + t^8.33/g1^16 - (3*t^8.6)/g1^5 + 2*g1^18*t^8.63 + t^8.85/g1^17 - 2*g1^6*t^8.88 + t^7.56/(g1^3*y^2) - t^8.6/(g1^5*y^2) - t^3.52/(g1*y) - t^4.04/(g1^2*y) - t^5.6/(g1^5*y) - (2*t^6.12)/(g1^6*y) - (g1^5*t^6.4)/y - t^6.64/(g1^7*y) + (g1^3*t^7.44)/y + (g1^2*t^7.96)/y - (2*t^8.21)/(g1^10*y) - (g1*t^8.48)/y - (2*t^8.73)/(g1^11*y) - (t^3.52*y)/g1 - (t^4.04*y)/g1^2 - (t^5.6*y)/g1^5 - (2*t^6.12*y)/g1^6 - g1^5*t^6.4*y - (t^6.64*y)/g1^7 + g1^3*t^7.44*y + g1^2*t^7.96*y - (2*t^8.21*y)/g1^10 - g1*t^8.48*y - (2*t^8.73*y)/g1^11 + (t^7.56*y^2)/g1^3 - (t^8.6*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45787 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ + $ M_1^2$ | 0.909 | 0.984 | 0.9238 | [X:[1.6, 1.4], M:[1.0, 0.8], q:[0.3333], qb:[0.4667], phi:[0.2]] | 2*t^2.4 + t^3. + t^4.2 + 5*t^4.8 + 2*t^5.4 - t^3.6/y - t^4.2/y - (2*t^6.)/y - t^3.6*y - t^4.2*y - 2*t^6.*y | detail | {a: 909/1000, c: 123/125, X1: 8/5, X2: 7/5, M1: 1, M2: 4/5, q1: 1/3, qb1: 7/15, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45763 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1^3\tilde{q}_1^3$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.9188 | 0.9653 | 0.9519 | [X:[1.6514, 1.4771], M:[0.8714], q:[0.4619], qb:[0.4924], phi:[0.1743]] | t^2.61 + t^2.86 + t^3.91 + t^4.43 + t^4.95 + t^5.23 + t^5.48 + 2*t^5.73 - t^6. - t^3.52/y - t^4.05/y - t^3.52*y - t^4.05*y | detail |