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 |
---|---|---|---|---|---|---|---|---|---|
3195 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7053 | 0.8958 | 0.7873 | [M:[0.9768, 0.7804, 0.9277, 0.8295, 1.1705, 0.6821, 0.7804], q:[0.633, 0.3902], qb:[0.4393, 0.7804], phi:[0.4393]] | [M:[[-18], [2], [-13], [-3], [3], [12], [2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.046 + 2*t^2.341 + t^2.488 + t^2.636 + t^2.783 + t^2.93 + t^3.512 + t^3.806 + t^4.093 + t^4.24 + 3*t^4.387 + 2*t^4.535 + 4*t^4.682 + 3*t^4.829 + 4*t^4.977 + t^5.116 + 3*t^5.124 + 3*t^5.271 + t^5.419 + t^5.558 + 2*t^5.566 + t^5.713 + 2*t^5.853 + t^5.861 - 2*t^6. + t^6.139 + t^6.147 + t^6.287 + t^6.295 + 3*t^6.434 + t^6.442 + 3*t^6.581 + 5*t^6.729 + 5*t^6.876 + 9*t^7.023 + t^7.162 + 6*t^7.171 + 7*t^7.318 + 2*t^7.457 + 6*t^7.465 + t^7.604 + 8*t^7.613 + t^7.752 + 4*t^7.76 + t^7.899 + 6*t^7.907 - 2*t^8.046 + 3*t^8.055 + t^8.186 + 4*t^8.202 + t^8.333 - 5*t^8.341 + 2*t^8.349 + 3*t^8.48 - t^8.488 + 2*t^8.497 + 4*t^8.628 - 3*t^8.636 + t^8.644 + 5*t^8.775 - 2*t^8.783 + t^8.791 + 6*t^8.922 - 3*t^8.93 - t^4.318/y - t^6.364/y - (2*t^6.659)/y - t^6.954/y - t^7.101/y - t^7.248/y + (3*t^7.387)/y + (2*t^7.535)/y + (3*t^7.682)/y + (3*t^7.829)/y + (5*t^7.977)/y + (3*t^8.124)/y + (4*t^8.271)/y - t^8.411/y + (2*t^8.419)/y + t^8.558/y + t^8.566/y - (2*t^8.705)/y + t^8.713/y + (3*t^8.853)/y - t^4.318*y - t^6.364*y - 2*t^6.659*y - t^6.954*y - t^7.101*y - t^7.248*y + 3*t^7.387*y + 2*t^7.535*y + 3*t^7.682*y + 3*t^7.829*y + 5*t^7.977*y + 3*t^8.124*y + 4*t^8.271*y - t^8.411*y + 2*t^8.419*y + t^8.558*y + t^8.566*y - 2*t^8.705*y + t^8.713*y + 3*t^8.853*y | g1^12*t^2.046 + 2*g1^2*t^2.341 + t^2.488/g1^3 + t^2.636/g1^8 + t^2.783/g1^13 + t^2.93/g1^18 + g1^3*t^3.512 + t^3.806/g1^7 + g1^24*t^4.093 + g1^19*t^4.24 + 3*g1^14*t^4.387 + 2*g1^9*t^4.535 + 4*g1^4*t^4.682 + (3*t^4.829)/g1 + (4*t^4.977)/g1^6 + g1^30*t^5.116 + (3*t^5.124)/g1^11 + (3*t^5.271)/g1^16 + t^5.419/g1^21 + g1^15*t^5.558 + (2*t^5.566)/g1^26 + t^5.713/g1^31 + 2*g1^5*t^5.853 + t^5.861/g1^36 - 2*t^6. + g1^36*t^6.139 + t^6.147/g1^5 + g1^31*t^6.287 + t^6.295/g1^10 + 3*g1^26*t^6.434 + t^6.442/g1^15 + 3*g1^21*t^6.581 + 5*g1^16*t^6.729 + 5*g1^11*t^6.876 + 9*g1^6*t^7.023 + g1^42*t^7.162 + 6*g1*t^7.171 + (7*t^7.318)/g1^4 + 2*g1^32*t^7.457 + (6*t^7.465)/g1^9 + g1^27*t^7.604 + (8*t^7.613)/g1^14 + g1^22*t^7.752 + (4*t^7.76)/g1^19 + g1^17*t^7.899 + (6*t^7.907)/g1^24 - 2*g1^12*t^8.046 + (3*t^8.055)/g1^29 + g1^48*t^8.186 + (4*t^8.202)/g1^34 + g1^43*t^8.333 - 5*g1^2*t^8.341 + (2*t^8.349)/g1^39 + 3*g1^38*t^8.48 - t^8.488/g1^3 + (2*t^8.497)/g1^44 + 4*g1^33*t^8.628 - (3*t^8.636)/g1^8 + t^8.644/g1^49 + 5*g1^28*t^8.775 - (2*t^8.783)/g1^13 + t^8.791/g1^54 + 6*g1^23*t^8.922 - (3*t^8.93)/g1^18 - t^4.318/(g1^4*y) - (g1^8*t^6.364)/y - (2*t^6.659)/(g1^2*y) - t^6.954/(g1^12*y) - t^7.101/(g1^17*y) - t^7.248/(g1^22*y) + (3*g1^14*t^7.387)/y + (2*g1^9*t^7.535)/y + (3*g1^4*t^7.682)/y + (3*t^7.829)/(g1*y) + (5*t^7.977)/(g1^6*y) + (3*t^8.124)/(g1^11*y) + (4*t^8.271)/(g1^16*y) - (g1^20*t^8.411)/y + (2*t^8.419)/(g1^21*y) + (g1^15*t^8.558)/y + t^8.566/(g1^26*y) - (2*g1^10*t^8.705)/y + t^8.713/(g1^31*y) + (3*g1^5*t^8.853)/y - (t^4.318*y)/g1^4 - g1^8*t^6.364*y - (2*t^6.659*y)/g1^2 - (t^6.954*y)/g1^12 - (t^7.101*y)/g1^17 - (t^7.248*y)/g1^22 + 3*g1^14*t^7.387*y + 2*g1^9*t^7.535*y + 3*g1^4*t^7.682*y + (3*t^7.829*y)/g1 + (5*t^7.977*y)/g1^6 + (3*t^8.124*y)/g1^11 + (4*t^8.271*y)/g1^16 - g1^20*t^8.411*y + (2*t^8.419*y)/g1^21 + g1^15*t^8.558*y + (t^8.566*y)/g1^26 - 2*g1^10*t^8.705*y + (t^8.713*y)/g1^31 + 3*g1^5*t^8.853*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 |
---|---|---|---|---|---|---|---|---|
5074 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}X_{1}$ | 0.6819 | 0.8513 | 0.8011 | [X:[1.3548], M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.6452, 0.7742], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | 2*t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + t^3.484 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + 3*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 3*t^5.419 + t^5.613 + 3*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 81261/119164, c: 50721/59582, X1: 42/31, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 20/31, M7: 24/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
5069 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4772 | 0.5814 | 0.8208 | [X:[1.5, 1.4167, 1.3333], M:[0.5, 0.8333, 0.5833, 0.75, 1.25, 1.0, 0.8333], q:[1.0833, 0.4167], qb:[0.3333, 0.8333], phi:[0.3333]] | t^2.25 + 2*t^2.5 + t^3. + t^3.25 + t^4.25 + 2*t^4.5 + t^4.75 + 2*t^5. + t^5.25 + 4*t^5.5 + t^5.75 - 2*t^6. - t^4./y - t^4.*y | detail | {a: 733/1536, c: 893/1536, X1: 3/2, X2: 17/12, X3: 4/3, M1: 1/2, M2: 5/6, M3: 7/12, M4: 3/4, M5: 5/4, M6: 1, M7: 5/6, q1: 13/12, q2: 5/12, qb1: 1/3, qb2: 5/6, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
2104 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6877 | 0.8645 | 0.7955 | [M:[0.9733, 0.7807, 0.9252, 0.8289, 1.1711, 0.6844], q:[0.6363, 0.3904], qb:[0.4385, 0.7807], phi:[0.4385]] | t^2.053 + t^2.342 + t^2.487 + t^2.631 + t^2.776 + t^2.92 + t^3.513 + t^3.658 + t^3.802 + t^4.107 + t^4.251 + 2*t^4.396 + 2*t^4.54 + 2*t^4.684 + 2*t^4.829 + 3*t^4.973 + 2*t^5.118 + t^5.133 + 2*t^5.262 + t^5.407 + 2*t^5.551 + t^5.567 + t^5.696 + t^5.711 + t^5.84 + t^5.856 - t^6. - t^4.316/y - t^4.316*y | detail |