Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2843	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$	0.6572	0.8255	0.7962	[X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]]	[X:[[0, 7]], M:[[2, 2], [-2, -6], [0, -7], [0, 3], [0, -3], [-2, -11]], q:[[-1, 1], [-1, -3]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. + 2*t^6.073 + t^6.194 + t^6.292 + t^6.34 + t^6.364 + t^6.413 + t^6.485 + t^6.486 + t^6.559 + t^6.583 + 2*t^6.631 + t^6.632 + 2*t^6.704 + t^6.705 + 3*t^6.777 + 3*t^6.85 + 4*t^6.923 + 4*t^6.996 + t^7.068 + t^7.069 + t^7.142 + 2*t^7.214 + t^7.287 - t^7.36 + t^7.506 + t^7.554 + t^7.627 - t^7.652 + t^7.7 + t^7.725 + t^7.773 + 3*t^7.846 + 2*t^7.919 + t^7.992 + t^8.016 + 3*t^8.137 + t^8.21 - 2*t^8.211 + t^8.258 - t^8.283 - t^8.356 + t^8.404 + 2*t^8.429 + t^8.477 - 2*t^8.502 + 2*t^8.55 - 2*t^8.575 + t^8.623 + t^8.648 + 2*t^8.696 + t^8.697 + t^8.72 + 3*t^8.769 - t^8.794 + t^8.841 + 2*t^8.842 + t^8.843 + t^8.866 + 4*t^8.915 + t^8.939 + 4*t^8.987 + 2*t^8.988 - t^4.142/y - t^6.206/y - t^6.352/y - t^6.425/y - t^6.498/y + t^7.275/y + t^7.348/y + t^7.421/y + t^7.494/y + t^7.567/y + (2*t^7.64)/y + (2*t^7.786)/y + (2*t^7.858)/y + (2*t^7.931)/y + t^8.077/y - t^8.271/y - t^8.417/y - t^8.563/y + (2*t^8.781)/y + t^8.927/y - t^4.142*y - t^6.206*y - t^6.352*y - t^6.425*y - t^6.498*y + t^7.275*y + t^7.348*y + t^7.421*y + t^7.494*y + t^7.567*y + 2*t^7.64*y + 2*t^7.786*y + 2*t^7.858*y + 2*t^7.931*y + t^8.077*y - t^8.271*y - t^8.417*y - t^8.563*y + 2*t^8.781*y + t^8.927*y	t^2.065/(g1^2*g2^11) + g1^2*g2^2*t^2.211 + t^2.283/g2^2 + t^2.356/(g1^2*g2^6) + g2^3*t^2.575 + t^3.425/g2^3 + t^3.498/(g1^2*g2^7) + g2^2*t^3.717 + g2^7*t^4.008 + t^4.129/(g1^4*g2^22) + t^4.275/g2^9 + t^4.348/(g1^2*g2^13) + t^4.421/(g1^4*g2^17) + g1^4*g2^4*t^4.421 + g1^2*t^4.494 + (2*t^4.567)/g2^4 + (2*t^4.64)/(g1^2*g2^8) + t^4.712/(g1^4*g2^12) + g1^2*g2^5*t^4.786 + 2*g2*t^4.858 + t^4.931/(g1^2*g2^3) + g2^6*t^5.15 + t^5.49/(g1^2*g2^14) + t^5.562/(g1^4*g2^18) + (g1^2*t^5.636)/g2 + t^5.708/g2^5 + (2*t^5.781)/(g1^2*g2^9) + t^5.854/(g1^4*g2^13) - t^6. + (2*t^6.073)/(g1^2*g2^4) + t^6.194/(g1^6*g2^33) + g2^5*t^6.292 + t^6.34/(g1^2*g2^20) + (g2*t^6.364)/g1^2 + t^6.413/(g1^4*g2^24) + t^6.485/(g1^6*g2^28) + (g1^2*t^6.486)/g2^7 + t^6.559/g2^11 + g2^10*t^6.583 + (2*t^6.631)/(g1^2*g2^15) + g1^6*g2^6*t^6.632 + (2*t^6.704)/(g1^4*g2^19) + g1^4*g2^2*t^6.705 + t^6.777/(g1^6*g2^23) + (2*g1^2*t^6.777)/g2^2 + (3*t^6.85)/g2^6 + (4*t^6.923)/(g1^2*g2^10) + (3*t^6.996)/(g1^4*g2^14) + g1^4*g2^7*t^6.996 + t^7.068/(g1^6*g2^18) + g1^2*g2^3*t^7.069 + t^7.142/g2 + (2*t^7.214)/(g1^2*g2^5) + t^7.287/(g1^4*g2^9) - g1^2*g2^8*t^7.36 + t^7.506/g1^2 + t^7.554/(g1^4*g2^25) + t^7.627/(g1^6*g2^29) - g1^2*g2^13*t^7.652 + t^7.7/g2^12 + g2^9*t^7.725 + t^7.773/(g1^2*g2^16) + (2*t^7.846)/(g1^4*g2^20) + g1^4*g2*t^7.846 + t^7.919/(g1^6*g2^24) + (g1^2*t^7.919)/g2^3 + t^7.992/g2^7 + g2^14*t^8.016 + (3*t^8.137)/(g1^4*g2^15) + t^8.21/(g1^6*g2^19) - 2*g1^2*g2^2*t^8.211 + t^8.258/(g1^8*g2^44) - t^8.283/g2^2 - t^8.356/(g1^2*g2^6) + t^8.404/(g1^4*g2^31) + (2*t^8.429)/(g1^4*g2^10) + t^8.477/(g1^6*g2^35) - 2*g1^2*g2^7*t^8.502 + t^8.55/(g1^8*g2^39) + t^8.55/g2^18 - 2*g2^3*t^8.575 + t^8.623/(g1^2*g2^22) + t^8.648/(g1^2*g2) + (2*t^8.696)/(g1^4*g2^26) + (g1^4*t^8.697)/g2^5 + t^8.72/(g1^4*g2^5) + (2*t^8.769)/(g1^6*g2^30) + (g1^2*t^8.769)/g2^9 - g1^2*g2^12*t^8.794 + t^8.841/(g1^8*g2^34) + (2*t^8.842)/g2^13 + g1^8*g2^8*t^8.843 + g2^8*t^8.866 + (3*t^8.915)/(g1^2*g2^17) + g1^6*g2^4*t^8.915 + (g2^4*t^8.939)/g1^2 + (4*t^8.987)/(g1^4*g2^21) + 2*g1^4*t^8.988 - t^4.142/(g2*y) - t^6.206/(g1^2*g2^12*y) - (g1^2*g2*t^6.352)/y - t^6.425/(g2^3*y) - t^6.498/(g1^2*g2^7*y) + t^7.275/(g2^9*y) + t^7.348/(g1^2*g2^13*y) + t^7.421/(g1^4*g2^17*y) + (g1^2*t^7.494)/y + t^7.567/(g2^4*y) + (2*t^7.64)/(g1^2*g2^8*y) + (2*g1^2*g2^5*t^7.786)/y + (2*g2*t^7.858)/y + (2*t^7.931)/(g1^2*g2^3*y) + (g1^2*g2^10*t^8.077)/y - t^8.271/(g1^4*g2^23*y) - t^8.417/(g2^10*y) - (g1^4*g2^3*t^8.563)/y + (2*t^8.781)/(g1^2*g2^9*y) + (g1^2*g2^4*t^8.927)/y - (t^4.142*y)/g2 - (t^6.206*y)/(g1^2*g2^12) - g1^2*g2*t^6.352*y - (t^6.425*y)/g2^3 - (t^6.498*y)/(g1^2*g2^7) + (t^7.275*y)/g2^9 + (t^7.348*y)/(g1^2*g2^13) + (t^7.421*y)/(g1^4*g2^17) + g1^2*t^7.494*y + (t^7.567*y)/g2^4 + (2*t^7.64*y)/(g1^2*g2^8) + 2*g1^2*g2^5*t^7.786*y + 2*g2*t^7.858*y + (2*t^7.931*y)/(g1^2*g2^3) + g1^2*g2^10*t^8.077*y - (t^8.271*y)/(g1^4*g2^23) - (t^8.417*y)/g2^10 - g1^4*g2^3*t^8.563*y + (2*t^8.781*y)/(g1^2*g2^9) + g1^2*g2^4*t^8.927*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
3399	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$	0.6384	0.793	0.805	[X:[1.3048], M:[0.7772, 0.7629, 0.6952, 0.8449, 1.1551, 0.688, 1.2228], q:[0.8413, 0.3814], qb:[0.4635, 0.7736], phi:[0.385]]	t^2.064 + t^2.289 + t^2.31 + t^2.535 + t^3.444 + t^3.465 + t^3.668 + t^3.69 + t^3.914 + t^4.128 + t^4.353 + t^4.374 + t^4.577 + 2*t^4.599 + t^4.62 + t^4.823 + 2*t^4.845 + t^5.069 + t^5.508 + t^5.529 + 2*t^5.732 + 2*t^5.754 + t^5.957 + 3*t^5.979 - t^6. - t^4.155/y - t^4.155*y	detail
3397	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$	0.57	0.6947	0.8205	[X:[1.2065, 1.406], M:[0.594, 1.0023, 0.7935, 0.8028, 1.1972, 0.9977], q:[0.9049, 0.5012], qb:[0.3016, 0.6961], phi:[0.3991]]	t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 - t^4.197/y - t^4.197*y	detail
3400	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$	0.6702	0.8472	0.7911	[X:[1.307], M:[0.7557, 0.7831, 0.693, 0.8459, 1.1541, 0.7067, 0.8459], q:[0.8527, 0.3916], qb:[0.4543, 0.7626], phi:[0.3847]]	t^2.12 + t^2.267 + t^2.308 + t^2.349 + 2*t^2.538 + t^3.504 + t^3.692 + t^3.921 + t^4.24 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + t^4.575 + 2*t^4.617 + 3*t^4.658 + t^4.699 + 2*t^4.805 + 3*t^4.846 + 2*t^4.887 + 3*t^5.075 + t^5.624 + t^5.812 + t^5.853 - 2*t^6. - t^4.154/y - t^4.154*y	detail
3398	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$	0.6473	0.8113	0.7978	[X:[1.2], M:[0.8252, 0.7748, 0.8, 0.8, 1.2, 0.7748], q:[0.7874, 0.3874], qb:[0.4126, 0.8126], phi:[0.4]]	2*t^2.324 + 2*t^2.4 + t^2.476 + t^3.524 + 3*t^3.6 + 3*t^4.649 + 4*t^4.724 + 6*t^4.8 + 2*t^4.876 + t^4.951 + 2*t^5.849 + 6*t^5.924 + 2*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

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

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
1824	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.6574	0.8268	0.7952	[M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]]	t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. - t^4.145/y - t^4.145*y	detail