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
1715	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6151	0.7899	0.7787	[M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]]	[M:[[0, 0], [-8, -8], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.016 + t^2.385 + t^2.391 + t^2.631 + 2*t^2.816 + t^3. + t^3.793 + t^3.799 + t^3.977 + t^4.033 + t^4.402 + t^4.408 + t^4.647 + 2*t^4.771 + 2*t^4.777 + 2*t^4.783 + 2*t^4.832 + t^5.016 + 2*t^5.201 + 2*t^5.207 + t^5.262 + t^5.385 + t^5.391 + 2*t^5.447 + 4*t^5.631 + t^5.809 + 2*t^5.816 - 3*t^6. - t^6.006 + t^6.049 + t^6.178 + t^6.184 + t^6.191 + t^6.363 + t^6.418 + t^6.424 + 2*t^6.609 + t^6.615 + t^6.664 + 2*t^6.787 + 3*t^6.793 + t^6.799 + 2*t^6.848 - t^6.977 - 2*t^6.984 + t^7.033 + 2*t^7.156 + 2*t^7.162 + 2*t^7.168 + 2*t^7.174 + 2*t^7.217 + 2*t^7.223 + t^7.279 + t^7.402 - t^7.408 + 2*t^7.463 + 4*t^7.586 + 2*t^7.592 + 4*t^7.598 + 4*t^7.647 + 2*t^7.771 + t^7.777 + t^7.783 + t^7.826 + 2*t^7.832 + t^7.893 - t^7.961 - t^7.967 + 2*t^8.023 + t^8.065 + 2*t^8.078 + t^8.195 + 2*t^8.201 + 2*t^8.207 + 4*t^8.262 - 5*t^8.385 - 5*t^8.391 - t^8.398 + t^8.434 + t^8.44 + 5*t^8.447 + 2*t^8.564 + t^8.57 + t^8.576 + 2*t^8.582 + 2*t^8.625 + t^8.68 + 2*t^8.748 + 2*t^8.803 + t^8.809 - 7*t^8.816 - 2*t^8.822 + 2*t^8.865 - t^4.408/y - t^6.424/y - t^7.039/y - t^7.223/y + t^7.402/y + t^7.408/y + t^7.592/y + t^7.647/y + (2*t^7.777)/y + (2*t^7.832)/y + (2*t^8.016)/y + t^8.023/y + (2*t^8.201)/y + (2*t^8.207)/y + t^8.385/y + (2*t^8.391)/y - t^8.44/y + (2*t^8.447)/y + (2*t^8.631)/y + t^8.809/y + (3*t^8.816)/y + t^8.994/y - t^4.408*y - t^6.424*y - t^7.039*y - t^7.223*y + t^7.402*y + t^7.408*y + t^7.592*y + t^7.647*y + 2*t^7.777*y + 2*t^7.832*y + 2*t^8.016*y + t^8.023*y + 2*t^8.201*y + 2*t^8.207*y + t^8.385*y + 2*t^8.391*y - t^8.44*y + 2*t^8.447*y + 2*t^8.631*y + t^8.809*y + 3*t^8.816*y + t^8.994*y	t^2.016/(g1^9*g2) + (g2^7*t^2.385)/g1 + (g1^7*t^2.391)/g2 + t^2.631/(g1^8*g2^8) + (2*t^2.816)/(g1^4*g2^4) + t^3. + (g2^5*t^3.793)/g1^3 + (g1^5*t^3.799)/g2^3 + g1*g2^9*t^3.977 + t^4.033/(g1^18*g2^2) + (g2^6*t^4.402)/g1^10 + t^4.408/(g1^2*g2^2) + t^4.647/(g1^17*g2^9) + (2*g2^14*t^4.771)/g1^2 + 2*g1^6*g2^6*t^4.777 + (2*g1^14*t^4.783)/g2^2 + (2*t^4.832)/(g1^13*g2^5) + t^5.016/(g1^9*g2) + (2*g2^3*t^5.201)/g1^5 + (2*g1^3*t^5.207)/g2^5 + t^5.262/(g1^16*g2^16) + (g2^7*t^5.385)/g1 + (g1^7*t^5.391)/g2 + (2*t^5.447)/(g1^12*g2^12) + (4*t^5.631)/(g1^8*g2^8) + (g2^4*t^5.809)/g1^12 + (2*t^5.816)/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.006)/g2^8 + t^6.049/(g1^27*g2^3) + (g2^12*t^6.178)/g1^4 + g1^4*g2^4*t^6.184 + (g1^12*t^6.191)/g2^4 + g2^16*t^6.363 + (g2^5*t^6.418)/g1^19 + t^6.424/(g1^11*g2^3) + (2*g2*t^6.609)/g1^7 + (g1*t^6.615)/g2^7 + t^6.664/(g1^26*g2^10) + (2*g2^13*t^6.787)/g1^11 + (3*g2^5*t^6.793)/g1^3 + (g1^5*t^6.799)/g2^3 + (2*t^6.848)/(g1^22*g2^6) - g1*g2^9*t^6.977 - 2*g1^9*g2*t^6.984 + t^7.033/(g1^18*g2^2) + (2*g2^21*t^7.156)/g1^3 + 2*g1^5*g2^13*t^7.162 + 2*g1^13*g2^5*t^7.168 + (2*g1^21*t^7.174)/g2^3 + (2*g2^2*t^7.217)/g1^14 + (2*t^7.223)/(g1^6*g2^6) + t^7.279/(g1^25*g2^17) + (g2^6*t^7.402)/g1^10 - t^7.408/(g1^2*g2^2) + (2*t^7.463)/(g1^21*g2^13) + (4*g2^10*t^7.586)/g1^6 + 2*g1^2*g2^2*t^7.592 + (4*g1^10*t^7.598)/g2^6 + (4*t^7.647)/(g1^17*g2^9) + (2*g2^14*t^7.771)/g1^2 + g1^6*g2^6*t^7.777 + (g1^14*t^7.783)/g2^2 + (g2^3*t^7.826)/g1^21 + (2*t^7.832)/(g1^13*g2^5) + t^7.893/(g1^24*g2^24) - g1^10*g2^10*t^7.961 - g1^18*g2^2*t^7.967 + (2*t^8.023)/(g1*g2^9) + t^8.065/(g1^36*g2^4) + (2*t^8.078)/(g1^20*g2^20) + (g2^11*t^8.195)/g1^13 + (2*g2^3*t^8.201)/g1^5 + (2*g1^3*t^8.207)/g2^5 + (4*t^8.262)/(g1^16*g2^16) - (5*g2^7*t^8.385)/g1 - (5*g1^7*t^8.391)/g2 - (g1^15*t^8.398)/g2^9 + (g2^4*t^8.434)/g1^28 + t^8.44/(g1^20*g2^4) + (5*t^8.447)/(g1^12*g2^12) + (2*g2^19*t^8.564)/g1^5 + g1^3*g2^11*t^8.57 + g1^11*g2^3*t^8.576 + (2*g1^19*t^8.582)/g2^5 + (2*t^8.625)/g1^16 + t^8.68/(g1^35*g2^11) + (2*g2^23*t^8.748)/g1 + (2*g2^12*t^8.803)/g1^20 + (g2^4*t^8.809)/g1^12 - (7*t^8.816)/(g1^4*g2^4) - (2*g1^4*t^8.822)/g2^12 + (2*t^8.865)/(g1^31*g2^7) - t^4.408/(g1^2*g2^2*y) - t^6.424/(g1^11*g2^3*y) - t^7.039/(g1^10*g2^10*y) - t^7.223/(g1^6*g2^6*y) + (g2^6*t^7.402)/(g1^10*y) + t^7.408/(g1^2*g2^2*y) + (g1^2*g2^2*t^7.592)/y + t^7.647/(g1^17*g2^9*y) + (2*g1^6*g2^6*t^7.777)/y + (2*t^7.832)/(g1^13*g2^5*y) + (2*t^8.016)/(g1^9*g2*y) + t^8.023/(g1*g2^9*y) + (2*g2^3*t^8.201)/(g1^5*y) + (2*g1^3*t^8.207)/(g2^5*y) + (g2^7*t^8.385)/(g1*y) + (2*g1^7*t^8.391)/(g2*y) - t^8.44/(g1^20*g2^4*y) + (2*t^8.447)/(g1^12*g2^12*y) + (2*t^8.631)/(g1^8*g2^8*y) + (g2^4*t^8.809)/(g1^12*y) + (3*t^8.816)/(g1^4*g2^4*y) + (g2^8*t^8.994)/(g1^8*y) - (t^4.408*y)/(g1^2*g2^2) - (t^6.424*y)/(g1^11*g2^3) - (t^7.039*y)/(g1^10*g2^10) - (t^7.223*y)/(g1^6*g2^6) + (g2^6*t^7.402*y)/g1^10 + (t^7.408*y)/(g1^2*g2^2) + g1^2*g2^2*t^7.592*y + (t^7.647*y)/(g1^17*g2^9) + 2*g1^6*g2^6*t^7.777*y + (2*t^7.832*y)/(g1^13*g2^5) + (2*t^8.016*y)/(g1^9*g2) + (t^8.023*y)/(g1*g2^9) + (2*g2^3*t^8.201*y)/g1^5 + (2*g1^3*t^8.207*y)/g2^5 + (g2^7*t^8.385*y)/g1 + (2*g1^7*t^8.391*y)/g2 - (t^8.44*y)/(g1^20*g2^4) + (2*t^8.447*y)/(g1^12*g2^12) + (2*t^8.631*y)/(g1^8*g2^8) + (g2^4*t^8.809*y)/g1^12 + (3*t^8.816*y)/(g1^4*g2^4) + (g2^8*t^8.994*y)/g1^8

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
2714	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.6134	0.7861	0.7803	[M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]]	t^2.125 + t^2.292 + t^2.459 + t^2.665 + 2*t^2.833 + t^3. + t^3.708 + t^3.875 + t^4.043 + t^4.249 + t^4.416 + 3*t^4.584 + 2*t^4.751 + t^4.79 + 2*t^4.918 + 2*t^4.957 + 3*t^5.125 + 3*t^5.292 + t^5.331 + t^5.459 + 2*t^5.498 + 4*t^5.665 + t^5.833 - t^6. - t^4.416/y - t^4.416*y	detail
2713	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6359	0.8312	0.765	[M:[1.0, 0.8754, 0.6721, 0.6721], q:[0.7656, 0.2344], qb:[0.5623, 0.5623], phi:[0.4689]]	2*t^2.016 + 2*t^2.39 + t^2.626 + 2*t^2.813 + t^3. + 2*t^3.797 + 3*t^4.033 + 4*t^4.407 + 2*t^4.643 + 6*t^4.78 + 4*t^4.829 + 2*t^5.016 + 4*t^5.203 + t^5.252 + 2*t^5.39 + 2*t^5.439 + 4*t^5.626 + 5*t^5.813 - 5*t^6. - t^4.407/y - t^4.407*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
130	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$	0.5943	0.7486	0.7938	[M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]]	2*t^2.387 + t^2.636 + 2*t^2.818 + t^3. + 2*t^3.796 + 2*t^3.978 + 6*t^4.773 + 4*t^5.204 + t^5.272 + 2*t^5.387 + 2*t^5.454 + 4*t^5.636 + t^5.818 - 5*t^6. - t^4.409/y - t^4.409*y	detail