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 |
---|---|---|---|---|---|---|---|---|---|
420 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.667 | 0.8136 | 0.8198 | [X:[], M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_4q_1q_2$ | . | -1 | t^2.3 + t^2.67 + t^2.96 + t^3.04 + t^3.33 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + t^4.96 + t^5.26 + 2*t^5.33 + t^5.63 + t^5.92 - t^6. + t^6.22 + 2*t^6.3 + 3*t^6.59 + 2*t^6.67 + t^6.74 + 2*t^6.89 + 3*t^6.96 + t^7.04 + t^7.11 + 2*t^7.26 + t^7.33 + 2*t^7.55 + 3*t^7.63 + t^7.85 + 3*t^7.92 + 3*t^8. + t^8.08 + t^8.15 + 2*t^8.22 + t^8.45 + t^8.52 + 2*t^8.59 - t^8.67 + 3*t^8.89 - t^4.33/y - t^6.63/y + t^7.96/y + t^8.04/y + t^8.26/y + t^8.33/y + (2*t^8.63)/y + t^8.7/y - t^4.33*y - t^6.63*y + t^7.96*y + t^8.04*y + t^8.26*y + t^8.33*y + 2*t^8.63*y + t^8.7*y | t^2.3/g1 + t^2.67 + t^2.96/g1 + g1*t^3.04 + t^3.33 + t^3.63/g1 + t^3.92/g1^2 + 2*t^4. + g1^2*t^4.08 + t^4.3/g1 + g1*t^4.37 + t^4.59/g1^2 + t^4.67 + t^4.96/g1 + t^5.26/g1^2 + 2*t^5.33 + t^5.63/g1 + t^5.92/g1^2 - t^6. + t^6.22/g1^3 + (2*t^6.3)/g1 + (3*t^6.59)/g1^2 + 2*t^6.67 + g1^2*t^6.74 + (2*t^6.89)/g1^3 + (3*t^6.96)/g1 + g1*t^7.04 + g1^3*t^7.11 + (2*t^7.26)/g1^2 + t^7.33 + (2*t^7.55)/g1^3 + (3*t^7.63)/g1 + t^7.85/g1^4 + (3*t^7.92)/g1^2 + 3*t^8. + g1^2*t^8.08 + g1^4*t^8.15 + (2*t^8.22)/g1^3 + g1^3*t^8.45 + t^8.52/g1^4 + (2*t^8.59)/g1^2 - t^8.67 + (3*t^8.89)/g1^3 - t^4.33/y - t^6.63/(g1*y) + t^7.96/(g1*y) + (g1*t^8.04)/y + t^8.26/(g1^2*y) + t^8.33/y + (2*t^8.63)/(g1*y) + (g1*t^8.7)/y - t^4.33*y - (t^6.63*y)/g1 + (t^7.96*y)/g1 + g1*t^8.04*y + (t^8.26*y)/g1^2 + t^8.33*y + (2*t^8.63*y)/g1 + g1*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 |
---|---|---|---|---|---|---|---|---|
695 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2M_5$ | 0.677 | 0.8306 | 0.8151 | [X:[], M:[1.0126, 1.1111, 0.9874, 0.7652, 0.8889], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.3 + 2*t^2.67 + t^2.96 + t^3.04 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + 2*t^4.96 + t^5.26 + 4*t^5.33 + t^5.63 + t^5.7 + t^5.92 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
692 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.6669 | 0.8127 | 0.8206 | [X:[], M:[0.9899, 1.1111, 1.0101, 0.7879, 0.9899], q:[0.7778, 0.4545], qb:[0.5556, 0.4343], phi:[0.4444]] | t^2.36 + t^2.67 + 2*t^2.97 + t^3.33 + t^3.7 + t^3.94 + 2*t^4. + t^4.06 + t^4.3 + t^4.36 + t^4.67 + t^4.73 + t^5.03 + 3*t^5.33 + t^5.64 + 2*t^5.94 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 3169/4752, c: 1931/2376, M1: 98/99, M2: 10/9, M3: 100/99, M4: 26/33, M5: 98/99, q1: 7/9, q2: 5/11, qb1: 5/9, qb2: 43/99, phi1: 4/9} |
698 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ | 0.5563 | 0.6883 | 0.8083 | [X:[], M:[0.7778, 1.1111, 1.2222, 1.0], q:[0.7778, 0.6667], qb:[0.5556, 0.2222], phi:[0.4444]] | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^5. + 5*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 721/1296, c: 223/324, M1: 7/9, M2: 10/9, M3: 11/9, M4: 1, q1: 7/9, q2: 2/3, qb1: 5/9, qb2: 2/9, phi1: 4/9} |
697 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[], M:[1.0082, 1.1111, 0.9918, 0.7695, 0.6831], q:[0.7778, 0.4362], qb:[0.5556, 0.4527], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail | |
696 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_1q_2$ | 0.6844 | 0.8441 | 0.8108 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 2*t^3. + t^3.33 + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 2*t^5. + 5*t^5.33 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 887/1296, c: 547/648, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
265 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6675 | 0.8146 | 0.8195 | [X:[], M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], phi:[0.4398]] | t^2.3 + t^2.64 + t^2.9 + t^2.98 + t^3.36 + t^3.62 + t^3.88 + t^3.96 + t^4.03 + t^4.08 + t^4.34 + t^4.42 + t^4.61 + t^4.81 + t^4.94 + t^5.2 + 2*t^5.28 + t^5.66 + t^5.8 + t^5.88 + t^5.95 - 2*t^6. - t^4.32/y - t^4.32*y | detail |