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
50909	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6029	0.7716	0.7814	[X:[1.3804], M:[0.6196, 0.6811, 1.0, 1.0797, 1.0797, 0.7608], q:[0.7699, 0.6105], qb:[0.5489, 0.2301], phi:[0.4601]]	[X:[[6]], M:[[-6], [16], [0], [-4], [-4], [12]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.043 + t^2.283 + t^2.337 + t^2.522 + t^3. + 2*t^3.239 + t^3.478 + t^3.902 + t^4.087 + t^4.141 + t^4.326 + t^4.38 + 2*t^4.565 + t^4.62 + 2*t^4.674 + t^4.804 + t^4.859 + 2*t^5.043 + 3*t^5.283 + t^5.337 + 4*t^5.522 + 2*t^5.576 + 2*t^5.761 + t^5.946 - 2*t^6. + t^6.13 + t^6.185 + t^6.239 + t^6.369 + 2*t^6.424 + 3*t^6.478 + 2*t^6.608 + t^6.663 + 2*t^6.717 + 2*t^6.848 + t^6.902 + t^6.957 + 2*t^7.011 + 3*t^7.087 + 2*t^7.141 + 4*t^7.326 + 2*t^7.38 - t^7.435 + 5*t^7.565 + t^7.62 + t^7.674 + 5*t^7.804 + t^7.859 + 3*t^7.913 + t^7.989 + t^8.043 + t^8.152 + t^8.174 + t^8.228 - 3*t^8.337 + t^8.413 + 2*t^8.467 + t^8.522 + t^8.576 + 2*t^8.652 + 2*t^8.706 + 4*t^8.761 + 3*t^8.815 + 2*t^8.891 + 2*t^8.946 - t^4.38/y - t^6.424/y - t^6.663/y + t^7.141/y + t^7.326/y + t^7.38/y + t^7.565/y + t^7.804/y + t^7.859/y + t^8.043/y + t^8.098/y + (3*t^8.283)/y + (2*t^8.337)/y - t^8.467/y + (4*t^8.522)/y + (2*t^8.576)/y - t^8.706/y + (3*t^8.761)/y + t^8.815/y - t^4.38*y - t^6.424*y - t^6.663*y + t^7.141*y + t^7.326*y + t^7.38*y + t^7.565*y + t^7.804*y + t^7.859*y + t^8.043*y + t^8.098*y + 3*t^8.283*y + 2*t^8.337*y - t^8.467*y + 4*t^8.522*y + 2*t^8.576*y - t^8.706*y + 3*t^8.761*y + t^8.815*y	g1^16*t^2.043 + g1^12*t^2.283 + t^2.337/g1^14 + g1^8*t^2.522 + t^3. + (2*t^3.239)/g1^4 + t^3.478/g1^8 + g1^10*t^3.902 + g1^32*t^4.087 + g1^6*t^4.141 + g1^28*t^4.326 + g1^2*t^4.38 + 2*g1^24*t^4.565 + t^4.62/g1^2 + (2*t^4.674)/g1^28 + g1^20*t^4.804 + t^4.859/g1^6 + 2*g1^16*t^5.043 + 3*g1^12*t^5.283 + t^5.337/g1^14 + 4*g1^8*t^5.522 + (2*t^5.576)/g1^18 + 2*g1^4*t^5.761 + g1^26*t^5.946 - 2*t^6. + g1^48*t^6.13 + g1^22*t^6.185 + t^6.239/g1^4 + g1^44*t^6.369 + 2*g1^18*t^6.424 + (3*t^6.478)/g1^8 + 2*g1^40*t^6.608 + g1^14*t^6.663 + (2*t^6.717)/g1^12 + 2*g1^36*t^6.848 + g1^10*t^6.902 + t^6.957/g1^16 + (2*t^7.011)/g1^42 + 3*g1^32*t^7.087 + 2*g1^6*t^7.141 + 4*g1^28*t^7.326 + 2*g1^2*t^7.38 - t^7.435/g1^24 + 5*g1^24*t^7.565 + t^7.62/g1^2 + t^7.674/g1^28 + 5*g1^20*t^7.804 + t^7.859/g1^6 + (3*t^7.913)/g1^32 + g1^42*t^7.989 + g1^16*t^8.043 + t^8.152/g1^36 + g1^64*t^8.174 + g1^38*t^8.228 - (3*t^8.337)/g1^14 + g1^60*t^8.413 + 2*g1^34*t^8.467 + g1^8*t^8.522 + t^8.576/g1^18 + 2*g1^56*t^8.652 + 2*g1^30*t^8.706 + 4*g1^4*t^8.761 + (3*t^8.815)/g1^22 + 2*g1^52*t^8.891 + 2*g1^26*t^8.946 - (g1^2*t^4.38)/y - (g1^18*t^6.424)/y - (g1^14*t^6.663)/y + (g1^6*t^7.141)/y + (g1^28*t^7.326)/y + (g1^2*t^7.38)/y + (g1^24*t^7.565)/y + (g1^20*t^7.804)/y + t^7.859/(g1^6*y) + (g1^16*t^8.043)/y + t^8.098/(g1^10*y) + (3*g1^12*t^8.283)/y + (2*t^8.337)/(g1^14*y) - (g1^34*t^8.467)/y + (4*g1^8*t^8.522)/y + (2*t^8.576)/(g1^18*y) - (g1^30*t^8.706)/y + (3*g1^4*t^8.761)/y + t^8.815/(g1^22*y) - g1^2*t^4.38*y - g1^18*t^6.424*y - g1^14*t^6.663*y + g1^6*t^7.141*y + g1^28*t^7.326*y + g1^2*t^7.38*y + g1^24*t^7.565*y + g1^20*t^7.804*y + (t^7.859*y)/g1^6 + g1^16*t^8.043*y + (t^8.098*y)/g1^10 + 3*g1^12*t^8.283*y + (2*t^8.337*y)/g1^14 - g1^34*t^8.467*y + 4*g1^8*t^8.522*y + (2*t^8.576*y)/g1^18 - g1^30*t^8.706*y + 3*g1^4*t^8.761*y + (t^8.815*y)/g1^22

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
56023	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	0.6028	0.7711	0.7818	[X:[1.3846], M:[0.6154, 0.6923, 1.0, 1.0769, 1.0769, 0.7692], q:[0.7692, 0.6154], qb:[0.5385, 0.2308], phi:[0.4615]]	t^2.077 + 2*t^2.308 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + t^3.923 + 2*t^4.154 + 2*t^4.385 + 5*t^4.615 + 2*t^4.846 + 2*t^5.077 + 4*t^5.308 + 6*t^5.538 + 2*t^5.769 - t^6. - t^4.385/y - t^4.385*y	detail	{a: 21189/35152, c: 1694/2197, X1: 18/13, M1: 8/13, M2: 9/13, M3: 1, M4: 14/13, M5: 14/13, M6: 10/13, q1: 10/13, q2: 8/13, qb1: 7/13, qb2: 3/13, phi1: 6/13}
56032	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$	0.6235	0.811	0.7688	[X:[1.382], M:[0.618, 0.6853, 1.0, 1.0787, 1.0787, 0.764, 0.6967], q:[0.7697, 0.6123], qb:[0.545, 0.2303], phi:[0.4607]]	t^2.056 + t^2.09 + t^2.292 + t^2.326 + t^2.528 + t^3. + 2*t^3.236 + t^3.472 + t^4.112 + 2*t^4.146 + t^4.18 + t^4.348 + 2*t^4.382 + t^4.416 + 2*t^4.584 + 2*t^4.618 + 2*t^4.652 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.09 + 3*t^5.292 + 3*t^5.326 + 4*t^5.528 + 3*t^5.562 + 2*t^5.764 - 2*t^6. - t^4.382/y - t^4.382*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
47055	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$	0.5846	0.7385	0.7916	[X:[1.3863], M:[0.6137, 0.6968, 1.0, 1.0758, 1.0758], q:[0.7689, 0.6174], qb:[0.5342, 0.2311], phi:[0.4621]]	t^2.09 + t^2.296 + t^2.545 + t^3. + 2*t^3.227 + t^3.455 + t^3.682 + t^3.932 + t^4.159 + t^4.181 + t^4.386 + 2*t^4.592 + t^4.636 + t^4.841 + 2*t^5.09 + t^5.296 + 2*t^5.318 + 2*t^5.523 + 2*t^5.545 + 2*t^5.773 + t^5.978 - 2*t^6. - t^4.386/y - t^4.386*y	detail