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
330	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$	0.7046	0.8591	0.8202	[M:[0.9439, 0.9439, 0.9439, 1.0561], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]]	[M:[[-2, -2], [-8, -4], [4, 0], [2, 2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0	4*t^2.832 + 2*t^3.168 + t^3.505 + 3*t^4.248 + 4*t^4.584 + 3*t^4.921 + 6*t^5.664 + 2*t^6.336 + 2*t^6.673 + t^7.009 + 8*t^7.079 + 8*t^7.416 + 8*t^7.752 + 3*t^8.089 + 3*t^8.425 + 12*t^8.495 - 5*t^8.832 - t^4.416/y - (3*t^7.248)/y + (3*t^7.584)/y + (6*t^8.664)/y - t^4.416*y - 3*t^7.248*y + 3*t^7.584*y + 6*t^8.664*y	g1^4*t^2.832 + t^2.832/(g1^8*g2^4) + (2*t^2.832)/(g1^2*g2^2) + 2*g1^2*g2^2*t^3.168 + g1^6*g2^6*t^3.505 + t^4.248/(g1^9*g2^5) + t^4.248/(g1^3*g2^3) + (g1^3*t^4.248)/g2 + t^4.584/(g1^5*g2) + 2*g1*g2*t^4.584 + g1^7*g2^3*t^4.584 + (g2^3*t^4.921)/g1 + g1^5*g2^5*t^4.921 + g1^11*g2^7*t^4.921 + g1^8*t^5.664 + t^5.664/(g1^16*g2^8) + t^5.664/(g1^10*g2^6) + (2*t^5.664)/(g1^4*g2^4) + (g1^2*t^5.664)/g2^2 + 2*g1^4*g2^4*t^6.336 + 2*g1^8*g2^8*t^6.673 + g1^12*g2^12*t^7.009 + t^7.079/(g1^17*g2^9) + (2*t^7.079)/(g1^11*g2^7) + (2*t^7.079)/(g1^5*g2^5) + (2*g1*t^7.079)/g2^3 + (g1^7*t^7.079)/g2 + t^7.416/(g1^13*g2^5) + (2*t^7.416)/(g1^7*g2^3) + (2*t^7.416)/(g1*g2) + 2*g1^5*g2*t^7.416 + g1^11*g2^3*t^7.416 + t^7.752/(g1^9*g2) + (2*g2*t^7.752)/g1^3 + 2*g1^3*g2^3*t^7.752 + 2*g1^9*g2^5*t^7.752 + g1^15*g2^7*t^7.752 + g1*g2^5*t^8.089 + g1^7*g2^7*t^8.089 + g1^13*g2^9*t^8.089 + g1^5*g2^9*t^8.425 + g1^11*g2^11*t^8.425 + g1^17*g2^13*t^8.425 + g1^12*t^8.495 + t^8.495/(g1^24*g2^12) + (2*t^8.495)/(g1^18*g2^10) + (2*t^8.495)/(g1^12*g2^8) + (2*t^8.495)/(g1^6*g2^6) + (2*t^8.495)/g2^4 + (2*g1^6*t^8.495)/g2^2 - 2*g1^4*t^8.832 + t^8.832/(g1^14*g2^6) - (2*t^8.832)/(g1^8*g2^4) - (3*t^8.832)/(g1^2*g2^2) + g1^10*g2^2*t^8.832 - t^4.416/(g1*g2*y) - t^7.248/(g1^9*g2^5*y) - t^7.248/(g1^3*g2^3*y) - (g1^3*t^7.248)/(g2*y) + t^7.584/(g1^5*g2*y) + (g1*g2*t^7.584)/y + (g1^7*g2^3*t^7.584)/y + (2*t^8.664)/(g1^10*g2^6*y) + (2*t^8.664)/(g1^4*g2^4*y) + (2*g1^2*t^8.664)/(g2^2*y) - (t^4.416*y)/(g1*g2) - (t^7.248*y)/(g1^9*g2^5) - (t^7.248*y)/(g1^3*g2^3) - (g1^3*t^7.248*y)/g2 + (t^7.584*y)/(g1^5*g2) + g1*g2*t^7.584*y + g1^7*g2^3*t^7.584*y + (2*t^8.664*y)/(g1^10*g2^6) + (2*t^8.664*y)/(g1^4*g2^4) + (2*g1^2*t^8.664*y)/g2^2

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
516	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}^{2}$	0.7023	0.8571	0.8194	[M:[0.9541, 1.0, 0.9082, 1.0459], q:[0.5459, 0.5], qb:[0.4541, 0.5918], phi:[0.477]]	t^2.724 + 2*t^2.862 + t^3. + 2*t^3.138 + t^3.413 + t^4.156 + t^4.293 + 2*t^4.431 + 2*t^4.569 + 2*t^4.707 + t^4.844 + t^4.982 + t^5.449 + t^5.587 + 2*t^5.724 + t^5.862 + t^6. - t^4.431/y - t^4.431*y	detail
517	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$	0.7103	0.8687	0.8177	[M:[0.9326, 0.9326, 0.9326, 1.0674, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]]	5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*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
207	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]]	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y	detail