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 |
|---|---|---|---|---|---|---|---|---|---|
| 1615 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ | 0.6542 | 0.8076 | 0.81 | [X:[], M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3483/5324, c: 17199/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_3M_5$, $ M_4M_5$, $ M_2M_6$, $ M_2M_5$, $ M_1M_6$, $ M_6q_1q_2$ | $M_3^2$, $ M_5q_1q_2$, $ M_6\phi_1q_2^2$, $ M_6\phi_1\tilde{q}_1^2$ | 2 | t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 2*t^4.91 + 2*t^5.18 + t^5.45 + 3*t^5.73 + 2*t^6. + 3*t^6.27 + 5*t^6.55 + 4*t^6.82 + 4*t^7.09 + 6*t^7.36 + 5*t^7.64 + 5*t^7.91 + 4*t^8.18 + 2*t^8.45 + 6*t^8.73 - t^4.36/y - t^6.55/y + t^7.64/y + (3*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y + t^7.64*y + 3*t^8.18*y + 3*t^8.45*y + 2*t^8.73*y | t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 2*t^4.91 + 2*t^5.18 + t^5.45 + 3*t^5.73 + 2*t^6. + 3*t^6.27 + 5*t^6.55 + 4*t^6.82 + 4*t^7.09 + 6*t^7.36 + 5*t^7.64 + 5*t^7.91 + 4*t^8.18 + 2*t^8.45 + 6*t^8.73 - t^4.36/y - t^6.55/y + t^7.64/y + (3*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y + t^7.64*y + 3*t^8.18*y + 3*t^8.45*y + 2*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 4003 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_7\phi_1q_2^2$ | 0.6741 | 0.8445 | 0.7982 | [X:[], M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 2*t^4.64 + 2*t^4.91 + 4*t^5.18 + 2*t^5.45 + 5*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 1305/1936, c: 1635/1936, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, M7: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1038 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.16 + t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.59 + t^3.73 + t^4.09 + t^4.2 + 2*t^4.32 + t^4.57 + t^4.68 + t^4.91 + 2*t^5.05 + t^5.16 + t^5.5 + t^5.52 + t^5.64 + t^5.75 + 2*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail |