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 |
---|---|---|---|---|---|---|---|---|---|
1070 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6633 | 0.8389 | 0.7907 | [M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 0.7814], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | t^2.344 + t^2.372 + 2*t^2.4 + 2*t^2.428 + t^3.544 + t^3.6 + t^3.628 + t^4.689 + t^4.717 + 3*t^4.744 + 4*t^4.772 + 6*t^4.8 + 4*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + 2*t^5.972 + 2*t^6.028 + t^6.056 + t^7.033 + t^7.061 + 4*t^7.089 + 5*t^7.117 + 7*t^7.144 + 7*t^7.172 + 9*t^7.2 + 8*t^7.228 + 5*t^7.256 + 4*t^7.283 + t^8.233 + t^8.261 + 3*t^8.289 + 3*t^8.317 + 2*t^8.344 - 2*t^8.372 - t^8.4 - 3*t^8.428 + t^8.483 - t^4.2/y - t^6.544/y - t^6.572/y - t^6.6/y - (2*t^6.628)/y + t^7.717/y + (2*t^7.744)/y + (6*t^7.772)/y + (4*t^7.8)/y + (5*t^7.828)/y + (2*t^7.856)/y + t^8.944/y + t^8.972/y - t^4.2*y - t^6.544*y - t^6.572*y - t^6.6*y - 2*t^6.628*y + t^7.717*y + 2*t^7.744*y + 6*t^7.772*y + 4*t^7.8*y + 5*t^7.828*y + 2*t^7.856*y + t^8.944*y + t^8.972*y | g1^2*t^2.344 + g1*t^2.372 + 2*t^2.4 + (2*t^2.428)/g1 + g1^2*t^3.544 + t^3.6 + t^3.628/g1 + g1^4*t^4.689 + g1^3*t^4.717 + 3*g1^2*t^4.744 + 4*g1*t^4.772 + 6*t^4.8 + (4*t^4.828)/g1 + (3*t^4.856)/g1^2 + g1^4*t^5.889 + g1^3*t^5.917 + 2*g1^2*t^5.944 + 2*g1*t^5.972 + (2*t^6.028)/g1 + t^6.056/g1^2 + g1^6*t^7.033 + g1^5*t^7.061 + 4*g1^4*t^7.089 + 5*g1^3*t^7.117 + 7*g1^2*t^7.144 + 7*g1*t^7.172 + 9*t^7.2 + (8*t^7.228)/g1 + (5*t^7.256)/g1^2 + (4*t^7.283)/g1^3 + g1^6*t^8.233 + g1^5*t^8.261 + 3*g1^4*t^8.289 + 3*g1^3*t^8.317 + 2*g1^2*t^8.344 - 2*g1*t^8.372 - t^8.4 - (3*t^8.428)/g1 + t^8.483/g1^3 - t^4.2/y - (g1^2*t^6.544)/y - (g1*t^6.572)/y - t^6.6/y - (2*t^6.628)/(g1*y) + (g1^3*t^7.717)/y + (2*g1^2*t^7.744)/y + (6*g1*t^7.772)/y + (4*t^7.8)/y + (5*t^7.828)/(g1*y) + (2*t^7.856)/(g1^2*y) + (g1^2*t^8.944)/y + (g1*t^8.972)/y - t^4.2*y - g1^2*t^6.544*y - g1*t^6.572*y - t^6.6*y - (2*t^6.628*y)/g1 + g1^3*t^7.717*y + 2*g1^2*t^7.744*y + 6*g1*t^7.772*y + 4*t^7.8*y + (5*t^7.828*y)/g1 + (2*t^7.856*y)/g1^2 + g1^2*t^8.944*y + g1*t^8.972*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 |
---|---|---|---|---|---|---|---|---|
1667 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6798 | 0.8679 | 0.7833 | [M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 0.7814, 0.8], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | t^2.344 + t^2.372 + 3*t^2.4 + 2*t^2.428 + t^3.544 + t^3.628 + t^4.689 + t^4.717 + 4*t^4.744 + 5*t^4.772 + 9*t^4.8 + 6*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + t^5.972 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
1664 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.6269 | 0.7957 | 0.7879 | [M:[0.9, 1.2, 0.7, 0.8, 0.7, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 4*t^4.2 + 4*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 3*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 20061/32000, c: 25461/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 7/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
1666 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6797 | 0.8677 | 0.7834 | [M:[0.8077, 1.2, 0.7923, 0.8, 0.7923, 0.8154, 0.7846], q:[0.8, 0.3923], qb:[0.8, 0.4077], phi:[0.4]] | t^2.354 + 2*t^2.377 + 2*t^2.4 + t^2.423 + t^2.446 + t^3.577 + t^3.6 + t^4.707 + 2*t^4.73 + 5*t^4.754 + 5*t^4.777 + 7*t^4.8 + 4*t^4.823 + 3*t^4.846 + t^4.87 + t^4.893 + t^5.93 + 2*t^5.954 + 2*t^5.977 - t^4.2/y - t^4.2*y | detail | |
1665 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6806 | 0.8702 | 0.782 | [M:[0.7825, 1.2, 0.8175, 0.8, 0.8175, 0.7651, 0.7825], q:[0.8, 0.4175], qb:[0.8, 0.3825], phi:[0.4]] | t^2.295 + 2*t^2.348 + 2*t^2.4 + 2*t^2.452 + t^3.495 + t^3.6 + t^4.59 + 2*t^4.643 + 5*t^4.695 + 6*t^4.748 + 8*t^4.8 + 4*t^4.852 + 3*t^4.905 + t^5.79 + 2*t^5.843 + 2*t^5.895 + 2*t^5.948 - t^6. - t^4.2/y - t^4.2*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
666 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6469 | 0.8101 | 0.7985 | [M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.365 + 2*t^2.4 + t^2.435 + t^3.529 + t^3.565 + t^3.6 + t^3.671 + 3*t^4.729 + 4*t^4.765 + 6*t^4.8 + 2*t^4.835 + t^4.871 + 2*t^5.894 + 3*t^5.929 + 3*t^5.965 - t^4.2/y - t^4.2*y | detail |