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 |
---|---|---|---|---|---|---|---|---|---|
50918 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_4$ | 0.6779 | 0.8483 | 0.7991 | [X:[], M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3609/5324, c: 9033/10648, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_1$, $ M_4$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_4M_5$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_2\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | 2 | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + 3*t^5.73 + 2*t^6. + 4*t^6.27 + 5*t^6.55 + 6*t^6.82 + 5*t^7.09 + 9*t^7.36 + 8*t^7.64 + 7*t^7.91 + 5*t^8.18 + 3*t^8.45 + 8*t^8.73 - t^4.36/y - t^6.55/y - t^6.82/y - t^7.09/y + (3*t^7.64)/y + (3*t^7.91)/y + (5*t^8.18)/y + (4*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y - t^6.82*y - t^7.09*y + 3*t^7.64*y + 3*t^7.91*y + 5*t^8.18*y + 4*t^8.45*y + 2*t^8.73*y | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + 3*t^5.73 + 2*t^6. + 4*t^6.27 + 5*t^6.55 + 6*t^6.82 + 5*t^7.09 + 9*t^7.36 + 8*t^7.64 + 7*t^7.91 + 5*t^8.18 + 3*t^8.45 + 8*t^8.73 - t^4.36/y - t^6.55/y - t^6.82/y - t^7.09/y + (3*t^7.64)/y + (3*t^7.91)/y + (5*t^8.18)/y + (4*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y - t^6.82*y - t^7.09*y + 3*t^7.64*y + 3*t^7.91*y + 5*t^8.18*y + 4*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 |
---|---|---|---|---|---|---|---|---|
56309 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_3M_6$ | 0.6932 | 0.875 | 0.7922 | [X:[], M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273, 0.8182], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.18 + 3*t^2.45 + t^2.73 + 2*t^3. + 2*t^3.82 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 8*t^4.91 + 5*t^5.18 + 5*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 14763/21296, c: 18635/21296, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, M6: 9/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
56310 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_6\phi_1q_1^2$ | 0.6977 | 0.8852 | 0.7882 | [X:[], M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273, 0.7273], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | 2*t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 4*t^4.64 + 6*t^4.91 + 6*t^5.18 + 3*t^5.45 + 4*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 14859/21296, c: 4713/5324, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, M6: 8/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
56307 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_6\phi_1^2$ | 0.6696 | 0.8343 | 0.8025 | [X:[], M:[0.8182, 1.0, 1.1818, 0.8182, 0.7273, 1.0909], q:[0.4091, 0.7727], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.18 + 2*t^2.45 + 2*t^3. + t^3.27 + t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + 4*t^4.91 + 2*t^5.18 + 3*t^5.45 + 3*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 14259/21296, c: 2221/2662, M1: 9/11, M2: 1, M3: 13/11, M4: 9/11, M5: 8/11, M6: 12/11, q1: 9/22, q2: 17/22, qb1: 13/22, qb2: 9/22, 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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
48195 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6812 | 0.8512 | 0.8002 | [X:[], M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.16 + t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.2 + t^3.49 + t^3.64 + t^4.03 + t^4.18 + 2*t^4.33 + t^4.47 + t^4.53 + t^4.62 + t^4.67 + 2*t^4.82 + t^4.97 + 2*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.51 + 2*t^5.66 + t^5.71 + t^5.8 + t^5.85 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |