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
4704	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{6}$	0.6577	0.8296	0.7928	[X:[1.25], M:[1.25, 0.75, 1.0, 1.0, 1.0, 1.0, 0.75, 0.75], q:[0.375, 0.375], qb:[0.625, 0.625], phi:[0.5]]	[X:[[0]], M:[[0], [0], [1], [-1], [1], [-1], [0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]]	1	{a: 1347/2048, c: 1699/2048, X1: 5/4, M1: 5/4, M2: 3/4, M3: 1, M4: 1, M5: 1, M6: 1, M7: 3/4, M8: 3/4, q1: 3/8, q2: 3/8, qb1: 5/8, qb2: 5/8, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{8}\phi_{1}q_{1}q_{2}$, ${ }M_{7}X_{1}$, ${ }M_{8}X_{1}$	12	2*t^2.25 + 5*t^3. + 3*t^3.75 + 7*t^4.5 + 9*t^5.25 + 12*t^6. + 12*t^6.75 + 20*t^7.5 + 19*t^8.25 - t^4.5/y - t^6.75/y + t^7.5/y + (11*t^8.25)/y - t^4.5*y - t^6.75*y + t^7.5*y + 11*t^8.25*y	2*t^2.25 + t^3. + (2*t^3.)/g1 + 2*g1*t^3. + 3*t^3.75 + 3*t^4.5 + (2*t^4.5)/g1 + 2*g1*t^4.5 + 3*t^5.25 + t^5.25/g1^2 + (2*t^5.25)/g1 + 2*g1*t^5.25 + g1^2*t^5.25 + 4*t^6. + (2*t^6.)/g1^2 + (2*t^6.)/g1 + 2*g1*t^6. + 2*g1^2*t^6. + 4*t^6.75 + (4*t^6.75)/g1 + 4*g1*t^6.75 + 8*t^7.5 + (4*t^7.5)/g1^2 + (2*t^7.5)/g1 + 2*g1*t^7.5 + 4*g1^2*t^7.5 - t^8.25 + (2*t^8.25)/g1^3 + (2*t^8.25)/g1^2 + (6*t^8.25)/g1 + 6*g1*t^8.25 + 2*g1^2*t^8.25 + 2*g1^3*t^8.25 - t^4.5/y - t^6.75/y + t^7.5/y + (3*t^8.25)/y + (4*t^8.25)/(g1*y) + (4*g1*t^8.25)/y - t^4.5*y - t^6.75*y + t^7.5*y + 3*t^8.25*y + (4*t^8.25*y)/g1 + 4*g1*t^8.25*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
6289	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{9}$	0.6594	0.8336	0.7911	[X:[1.25], M:[1.25, 0.75, 1.0366, 0.9634, 1.0366, 0.9634, 0.75, 0.75, 0.9634], q:[0.375, 0.375], qb:[0.5884, 0.6616], phi:[0.5]]	2*t^2.25 + 3*t^2.89 + t^3. + t^3.11 + 3*t^3.75 + 2*t^4.39 + 3*t^4.5 + 2*t^4.61 + t^5.03 + 4*t^5.14 + 3*t^5.25 + t^5.47 + 5*t^5.78 + 3*t^5.89 + 3*t^6. - t^4.5/y - t^4.5*y	detail
6288	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}M_{9}$	0.6387	0.7949	0.8034	[X:[1.25], M:[1.25, 0.75, 1.0, 1.0, 1.0, 1.0, 0.75, 0.75, 1.25], q:[0.375, 0.375], qb:[0.625, 0.625], phi:[0.5]]	t^2.25 + 5*t^3. + 4*t^3.75 + 5*t^4.5 + 4*t^5.25 + 10*t^6. - t^4.5/y - t^4.5*y	detail	{a: 327/512, c: 407/512, X1: 5/4, M1: 5/4, M2: 3/4, M3: 1, M4: 1, M5: 1, M6: 1, M7: 3/4, M8: 3/4, M9: 5/4, q1: 3/8, q2: 3/8, qb1: 5/8, qb2: 5/8, phi1: 1/2}
6290	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{6}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$	0.6768	0.8643	0.7831	[X:[1.25], M:[1.25, 0.75, 1.0, 1.0, 1.0, 1.0, 0.75, 0.75, 0.75], q:[0.375, 0.375], qb:[0.625, 0.625], phi:[0.5]]	3*t^2.25 + 5*t^3. + 2*t^3.75 + 10*t^4.5 + 14*t^5.25 + 12*t^6. - t^4.5/y - t^4.5*y	detail	{a: 693/1024, c: 885/1024, X1: 5/4, M1: 5/4, M2: 3/4, M3: 1, M4: 1, M5: 1, M6: 1, M7: 3/4, M8: 3/4, M9: 3/4, q1: 3/8, q2: 3/8, qb1: 5/8, qb2: 5/8, phi1: 1/2}

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
2611	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$	0.6961	0.8694	0.8006	[X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]]	2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y	detail