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 |
---|---|---|---|---|---|---|---|---|---|
2305 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.5538 | 0.685 | 0.8084 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 1.2, 0.7], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 17721/32000, c: 21921/32000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 6/5, M6: 7/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_4$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ q_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1M_6$, $ q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_6$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_5M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $M_5\tilde{q}_1\tilde{q}_2$ | 1 | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 2*t^5.4 + 3*t^5.7 + t^6. + 2*t^6.3 + 3*t^6.6 + 4*t^6.9 + 3*t^7.2 + 2*t^7.5 + 4*t^7.8 + t^8.1 + 3*t^8.4 + t^8.7 - t^4.2/y - t^6.3/y + t^7.5/y + t^7.8/y + (3*t^8.1)/y + t^8.4/y + (4*t^8.7)/y - t^4.2*y - t^6.3*y + t^7.5*y + t^7.8*y + 3*t^8.1*y + t^8.4*y + 4*t^8.7*y | t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 2*t^5.4 + 3*t^5.7 + t^6. + 2*t^6.3 + 3*t^6.6 + 4*t^6.9 + 3*t^7.2 + 2*t^7.5 + 4*t^7.8 + t^8.1 + 3*t^8.4 + t^8.7 - t^4.2/y - t^6.3/y + t^7.5/y + t^7.8/y + (3*t^8.1)/y + t^8.4/y + (4*t^8.7)/y - t^4.2*y - t^6.3*y + t^7.5*y + t^7.8*y + 3*t^8.1*y + t^8.4*y + 4*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
4308 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_3M_7$ | 0.5629 | 0.7004 | 0.8037 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 1.2, 0.7, 0.9], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^4.2 + 2*t^4.5 + 4*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 4503/8000, c: 5603/8000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 6/5, M6: 7/10, M7: 9/10, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1254 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.5333 | 0.6458 | 0.8258 | [X:[1.5], M:[0.9, 0.5, 1.1, 1.0, 1.2], q:[0.85, 0.75], qb:[0.25, 0.55], phi:[0.4]] | t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + t^4.2 + t^4.5 + 2*t^4.8 + t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 2133/4000, c: 2583/4000, X1: 3/2, M1: 9/10, M2: 1/2, M3: 11/10, M4: 1, M5: 6/5, q1: 17/20, q2: 3/4, qb1: 1/4, qb2: 11/20, phi1: 2/5} |