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 |
---|---|---|---|---|---|---|---|---|---|
5083 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_2X_1$ | 0.5882 | 0.7257 | 0.8105 | [X:[1.45], M:[1.25, 0.55, 0.75, 1.05, 0.95, 1.05, 1.0], q:[0.475, 0.275], qb:[0.775, 0.675], phi:[0.45]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9411/16000, c: 11611/16000, X1: 29/20, M1: 5/4, M2: 11/20, M3: 3/4, M4: 21/20, M5: 19/20, M6: 21/20, M7: 1, q1: 19/40, q2: 11/40, qb1: 31/40, qb2: 27/40, phi1: 9/20} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ \phi_1^2$, $ M_7$, $ M_4$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_3M_7$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_7\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_3\phi_1q_1q_2$ | . | -1 | t^2.25 + t^2.7 + t^3. + 2*t^3.15 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.95 + t^5.25 + 2*t^5.4 + 2*t^5.7 + 2*t^5.85 - t^6. + 2*t^6.15 + 2*t^6.3 + 2*t^6.45 + t^6.6 + t^6.75 + 3*t^6.9 + 3*t^7.2 + 2*t^7.35 + t^7.5 + 3*t^7.65 + t^7.8 + 2*t^7.95 + 2*t^8.1 - t^8.25 + 3*t^8.4 + 2*t^8.55 + t^8.85 - t^4.35/y - t^7.05/y + t^7.2/y - t^7.5/y + t^7.65/y + t^7.95/y + t^8.25/y + (2*t^8.4)/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.35*y - t^7.05*y + t^7.2*y - t^7.5*y + t^7.65*y + t^7.95*y + t^8.25*y + 2*t^8.4*y + 2*t^8.7*y + 3*t^8.85*y | t^2.25 + t^2.7 + t^3. + 2*t^3.15 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.95 + t^5.25 + 2*t^5.4 + 2*t^5.7 + 2*t^5.85 - t^6. + 2*t^6.15 + 2*t^6.3 + 2*t^6.45 + t^6.6 + t^6.75 + 3*t^6.9 + 3*t^7.2 + 2*t^7.35 + t^7.5 + 3*t^7.65 + t^7.8 + 2*t^7.95 + 2*t^8.1 - t^8.25 + 3*t^8.4 + 2*t^8.55 + t^8.85 - t^4.35/y - t^7.05/y + t^7.2/y - t^7.5/y + t^7.65/y + t^7.95/y + t^8.25/y + (2*t^8.4)/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.35*y - t^7.05*y + t^7.2*y - t^7.5*y + t^7.65*y + t^7.95*y + t^8.25*y + 2*t^8.4*y + 2*t^8.7*y + 3*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
6669 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_2X_1$ + $ M_8\phi_1q_1q_2$ | 0.6047 | 0.7547 | 0.8012 | [X:[1.45], M:[1.25, 0.55, 0.75, 1.05, 0.95, 1.05, 1.0, 0.8], q:[0.475, 0.275], qb:[0.775, 0.675], phi:[0.45]] | t^2.25 + t^2.4 + t^2.7 + t^3. + 2*t^3.15 + t^3.45 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.65 + t^4.8 + t^4.95 + t^5.1 + t^5.25 + 3*t^5.4 + 2*t^5.55 + 2*t^5.7 + 2*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 387/640, c: 483/640, X1: 29/20, M1: 5/4, M2: 11/20, M3: 3/4, M4: 21/20, M5: 19/20, M6: 21/20, M7: 1, M8: 4/5, q1: 19/40, q2: 11/40, qb1: 31/40, qb2: 27/40, phi1: 9/20} |
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 |
---|---|---|---|---|---|---|---|---|---|
3202 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.661 | 0.8346 | 0.7919 | [X:[], M:[1.1915, 0.7488, 0.8085, 1.1318, 0.8682, 1.1318, 0.7661], q:[0.4341, 0.3744], qb:[0.7575, 0.4938], phi:[0.4851]] | t^2.25 + t^2.3 + t^2.43 + t^2.78 + t^2.91 + 2*t^3.4 + t^3.57 + t^3.88 + 2*t^4.06 + t^4.24 + t^4.42 + t^4.49 + t^4.54 + t^4.6 + t^4.67 + t^4.72 + t^4.85 + t^5.03 + t^5.08 + t^5.16 + 2*t^5.21 + t^5.34 + t^5.57 + t^5.64 + 3*t^5.69 + 2*t^5.82 + t^5.87 - 2*t^6. - t^4.46/y - t^4.46*y | detail |