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
46530	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$	0.7293	0.896	0.8139	[M:[0.8995, 0.7765, 0.877, 1.0, 1.0], q:[0.5503, 0.5503], qb:[0.6733, 0.4497], phi:[0.4441]]	[M:[[0, 8], [-4, 4], [-4, -4], [0, 0], [0, 0]], q:[[0, -4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$	-2	t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^6.302 + t^6.335 + t^6.36 - t^6.369 + 2*t^6.662 + t^6.695 + t^6.729 + 3*t^6.963 + t^6.988 + 2*t^6.997 + 3*t^7.031 + 3*t^7.265 + t^7.29 + 3*t^7.299 + t^7.324 + 4*t^7.332 + t^7.341 + t^7.357 + t^7.4 + t^7.591 + t^7.625 + 4*t^7.634 + 3*t^7.659 + t^7.693 + 2*t^7.701 + t^7.726 + t^7.893 + t^7.927 + 2*t^7.96 - 3*t^7.969 + 3*t^7.994 + t^8.003 + t^8.028 + 2*t^8.062 + t^8.07 + t^8.095 + t^8.305 - 2*t^8.329 - 2*t^8.338 + 2*t^8.363 + t^8.372 - 6*t^8.631 + t^8.665 + t^8.674 + t^8.69 - 5*t^8.698 - t^8.707 + t^8.732 - t^8.933 + 3*t^8.966 + 2*t^8.991 - t^4.332/y - t^6.662/y - t^6.963/y - t^6.997/y - t^7.031/y + t^7.634/y + t^7.668/y + t^7.701/y + t^7.96/y + t^7.994/y + t^8.003/y + t^8.028/y + t^8.296/y + (3*t^8.329)/y + t^8.363/y + (2*t^8.631)/y + (2*t^8.665)/y + (2*t^8.698)/y - t^8.991/y - t^4.332*y - t^6.662*y - t^6.963*y - t^6.997*y - t^7.031*y + t^7.634*y + t^7.668*y + t^7.701*y + t^7.96*y + t^7.994*y + t^8.003*y + t^8.028*y + t^8.296*y + 3*t^8.329*y + t^8.363*y + 2*t^8.631*y + 2*t^8.665*y + 2*t^8.698*y - t^8.991*y	(g2^4*t^2.329)/g1^4 + t^2.631/(g1^4*g2^4) + (g2^2*t^2.665)/g1^2 + g2^8*t^2.698 + 2*t^3. + (g1^4*t^3.671)/g2^4 + (g2^9*t^4.031)/g1 + (2*g2*t^4.332)/g1 + (3*t^4.634)/(g1*g2^7) + (g2^8*t^4.659)/g1^8 + g1^3*g2^5*t^4.701 + t^4.96/g1^8 + (g2^6*t^4.994)/g1^6 + (2*g1^3*t^5.003)/g2^3 + (g2^12*t^5.028)/g1^4 + t^5.262/(g1^8*g2^8) + t^5.296/(g1^6*g2^2) + (3*g2^4*t^5.329)/g1^4 + (g2^10*t^5.363)/g1^2 + g1^7*g2*t^5.372 + g2^16*t^5.397 + (2*g2^2*t^5.665)/g1^2 - 2*t^6. - t^6.302/g2^8 + (g1^2*t^6.335)/g2^2 + (g2^13*t^6.36)/g1^5 - g1^4*g2^4*t^6.369 + (2*g2^5*t^6.662)/g1^5 + (g2^11*t^6.695)/g1^3 + (g2^17*t^6.729)/g1 + (3*t^6.963)/(g1^5*g2^3) + (g2^12*t^6.988)/g1^12 + (2*g2^3*t^6.997)/g1^3 + (3*g2^9*t^7.031)/g1 + (3*t^7.265)/(g1^5*g2^11) + (g2^4*t^7.29)/g1^12 + (3*t^7.299)/(g1^3*g2^5) + (g2^10*t^7.324)/g1^10 + (4*g2*t^7.332)/g1 + (g1^8*t^7.341)/g2^8 + (g2^16*t^7.357)/g1^8 + g1^3*g2^13*t^7.4 + t^7.591/(g1^12*g2^4) + (g2^2*t^7.625)/g1^10 + (4*t^7.634)/(g1*g2^7) + (3*g2^8*t^7.659)/g1^8 + (g2^14*t^7.693)/g1^6 + 2*g1^3*g2^5*t^7.701 + (g2^20*t^7.726)/g1^4 + t^7.893/(g1^12*g2^12) + t^7.927/(g1^10*g2^6) + (2*t^7.96)/g1^8 - (3*g1*t^7.969)/g2^9 + (3*g2^6*t^7.994)/g1^6 + (g1^3*t^8.003)/g2^3 + (g2^12*t^8.028)/g1^4 + (2*g2^18*t^8.062)/g1^2 + g1^7*g2^9*t^8.07 + g2^24*t^8.095 + (g1^3*t^8.305)/g2^11 - (2*g2^4*t^8.329)/g1^4 - (2*g1^5*t^8.338)/g2^5 + (2*g2^10*t^8.363)/g1^2 + g1^7*g2*t^8.372 - (6*t^8.631)/(g1^4*g2^4) + (g2^2*t^8.665)/g1^2 + (g1^7*t^8.674)/g2^7 + (g2^17*t^8.69)/g1^9 - 5*g2^8*t^8.698 - (g1^9*t^8.707)/g2 + g1^2*g2^14*t^8.732 - t^8.933/(g1^4*g2^12) + (3*t^8.966)/(g1^2*g2^6) + (2*g2^9*t^8.991)/g1^9 - (g2*t^4.332)/(g1*y) - (g2^5*t^6.662)/(g1^5*y) - t^6.963/(g1^5*g2^3*y) - (g2^3*t^6.997)/(g1^3*y) - (g2^9*t^7.031)/(g1*y) + t^7.634/(g1*g2^7*y) + (g1*t^7.668)/(g2*y) + (g1^3*g2^5*t^7.701)/y + t^7.96/(g1^8*y) + (g2^6*t^7.994)/(g1^6*y) + (g1^3*t^8.003)/(g2^3*y) + (g2^12*t^8.028)/(g1^4*y) + t^8.296/(g1^6*g2^2*y) + (3*g2^4*t^8.329)/(g1^4*y) + (g2^10*t^8.363)/(g1^2*y) + (2*t^8.631)/(g1^4*g2^4*y) + (2*g2^2*t^8.665)/(g1^2*y) + (2*g2^8*t^8.698)/y - (g2^9*t^8.991)/(g1^9*y) - (g2*t^4.332*y)/g1 - (g2^5*t^6.662*y)/g1^5 - (t^6.963*y)/(g1^5*g2^3) - (g2^3*t^6.997*y)/g1^3 - (g2^9*t^7.031*y)/g1 + (t^7.634*y)/(g1*g2^7) + (g1*t^7.668*y)/g2 + g1^3*g2^5*t^7.701*y + (t^7.96*y)/g1^8 + (g2^6*t^7.994*y)/g1^6 + (g1^3*t^8.003*y)/g2^3 + (g2^12*t^8.028*y)/g1^4 + (t^8.296*y)/(g1^6*g2^2) + (3*g2^4*t^8.329*y)/g1^4 + (g2^10*t^8.363*y)/g1^2 + (2*t^8.631*y)/(g1^4*g2^4) + (2*g2^2*t^8.665*y)/g1^2 + 2*g2^8*t^8.698*y - (g2^9*t^8.991*y)/g1^9

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
48119	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{2}M_{3}$	0.7017	0.8608	0.8152	[M:[0.8792, 0.9396, 1.0604, 1.0, 1.0], q:[0.5604, 0.5604], qb:[0.5, 0.4396], phi:[0.4849]]	t^2.638 + t^2.819 + t^2.909 + 2*t^3. + 2*t^3.181 + t^4.092 + t^4.273 + 3*t^4.455 + 2*t^4.636 + 3*t^4.817 + t^5.275 + t^5.456 + t^5.547 + t^5.638 + t^5.728 + 2*t^5.819 + 2*t^5.909 - t^6. - t^4.455/y - t^4.455*y	detail
46848	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	0.7083	0.8692	0.8149	[M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]]	t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*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
46324	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$	0.7466	0.9183	0.813	[M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]]	5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y	detail