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
4013	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6971	0.8846	0.788	[M:[1.1677, 1.1098, 0.9481, 1.0, 0.8323, 0.7226, 0.7745, 0.6706], q:[0.7774, 0.4421], qb:[0.3902, 0.6098], phi:[0.4451]]	[M:[[-3], [4], [-11], [0], [3], [-1], [10], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{8}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$	${}$	-1	t^2.012 + t^2.168 + t^2.323 + t^2.497 + t^2.844 + t^3. + t^3.329 + t^3.503 + t^3.659 + t^4.024 + t^4.162 + t^4.18 + 3*t^4.335 + 2*t^4.491 + t^4.509 + t^4.647 + t^4.665 + t^4.82 + t^4.856 + 2*t^4.994 + 2*t^5.012 + 2*t^5.168 + t^5.323 + t^5.341 + t^5.497 + t^5.515 + t^5.653 + 2*t^5.671 + t^5.688 + 3*t^5.826 + t^5.982 - t^6. + t^6.036 + t^6.174 + t^6.191 + t^6.329 + 4*t^6.347 + t^6.485 + 4*t^6.503 + t^6.521 + 5*t^6.659 + 2*t^6.815 + t^6.832 + t^6.868 + t^6.97 + 2*t^6.988 + 2*t^7.006 + 2*t^7.024 + t^7.144 + 2*t^7.162 + 3*t^7.18 + 2*t^7.318 + 2*t^7.335 + t^7.353 + 3*t^7.491 + t^7.509 + t^7.527 + t^7.647 + 2*t^7.665 + 2*t^7.682 + t^7.7 + 2*t^7.82 + 4*t^7.838 + t^7.856 + t^7.976 + 4*t^7.994 + t^8.047 + 3*t^8.15 - 3*t^8.168 + t^8.185 + t^8.203 + t^8.306 - t^8.323 + 4*t^8.359 + t^8.497 + 5*t^8.515 + 2*t^8.533 + 2*t^8.653 + 7*t^8.671 + t^8.809 + 4*t^8.826 - 2*t^8.844 + t^8.88 + 5*t^8.982 - t^4.335/y - t^6.347/y - t^6.503/y - t^6.659/y + t^7.335/y + (2*t^7.491)/y + t^7.509/y + t^7.665/y + t^7.82/y + t^7.856/y + (3*t^8.012)/y + (3*t^8.168)/y + (2*t^8.323)/y + (2*t^8.341)/y - t^8.359/y + (2*t^8.497)/y + t^8.653/y + (2*t^8.826)/y + t^8.844/y - t^4.335*y - t^6.347*y - t^6.503*y - t^6.659*y + t^7.335*y + 2*t^7.491*y + t^7.509*y + t^7.665*y + t^7.82*y + t^7.856*y + 3*t^8.012*y + 3*t^8.168*y + 2*t^8.323*y + 2*t^8.341*y - t^8.359*y + 2*t^8.497*y + t^8.653*y + 2*t^8.826*y + t^8.844*y	t^2.012/g1^12 + t^2.168/g1 + g1^10*t^2.323 + g1^3*t^2.497 + t^2.844/g1^11 + t^3. + g1^4*t^3.329 + t^3.503/g1^3 + g1^8*t^3.659 + t^4.024/g1^24 + g1^5*t^4.162 + t^4.18/g1^13 + (3*t^4.335)/g1^2 + 2*g1^9*t^4.491 + t^4.509/g1^9 + g1^20*t^4.647 + g1^2*t^4.665 + g1^13*t^4.82 + t^4.856/g1^23 + 2*g1^6*t^4.994 + (2*t^5.012)/g1^12 + (2*t^5.168)/g1 + g1^10*t^5.323 + t^5.341/g1^8 + g1^3*t^5.497 + t^5.515/g1^15 + g1^14*t^5.653 + (2*t^5.671)/g1^4 + t^5.688/g1^22 + 3*g1^7*t^5.826 + g1^18*t^5.982 - t^6. + t^6.036/g1^36 + t^6.174/g1^7 + t^6.191/g1^25 + g1^4*t^6.329 + (4*t^6.347)/g1^14 + g1^15*t^6.485 + (4*t^6.503)/g1^3 + t^6.521/g1^21 + 5*g1^8*t^6.659 + 2*g1^19*t^6.815 + g1*t^6.832 + t^6.868/g1^35 + g1^30*t^6.97 + 2*g1^12*t^6.988 + (2*t^7.006)/g1^6 + (2*t^7.024)/g1^24 + g1^23*t^7.144 + 2*g1^5*t^7.162 + (3*t^7.18)/g1^13 + 2*g1^16*t^7.318 + (2*t^7.335)/g1^2 + t^7.353/g1^20 + 3*g1^9*t^7.491 + t^7.509/g1^9 + t^7.527/g1^27 + g1^20*t^7.647 + 2*g1^2*t^7.665 + (2*t^7.682)/g1^16 + t^7.7/g1^34 + 2*g1^13*t^7.82 + (4*t^7.838)/g1^5 + t^7.856/g1^23 + g1^24*t^7.976 + 4*g1^6*t^7.994 + t^8.047/g1^48 + 3*g1^17*t^8.15 - (3*t^8.168)/g1 + t^8.185/g1^19 + t^8.203/g1^37 + g1^28*t^8.306 - g1^10*t^8.323 + (4*t^8.359)/g1^26 + g1^3*t^8.497 + (5*t^8.515)/g1^15 + (2*t^8.533)/g1^33 + 2*g1^14*t^8.653 + (7*t^8.671)/g1^4 + g1^25*t^8.809 + 4*g1^7*t^8.826 - (2*t^8.844)/g1^11 + t^8.88/g1^47 + 5*g1^18*t^8.982 - t^4.335/(g1^2*y) - t^6.347/(g1^14*y) - t^6.503/(g1^3*y) - (g1^8*t^6.659)/y + t^7.335/(g1^2*y) + (2*g1^9*t^7.491)/y + t^7.509/(g1^9*y) + (g1^2*t^7.665)/y + (g1^13*t^7.82)/y + t^7.856/(g1^23*y) + (3*t^8.012)/(g1^12*y) + (3*t^8.168)/(g1*y) + (2*g1^10*t^8.323)/y + (2*t^8.341)/(g1^8*y) - t^8.359/(g1^26*y) + (2*g1^3*t^8.497)/y + (g1^14*t^8.653)/y + (2*g1^7*t^8.826)/y + t^8.844/(g1^11*y) - (t^4.335*y)/g1^2 - (t^6.347*y)/g1^14 - (t^6.503*y)/g1^3 - g1^8*t^6.659*y + (t^7.335*y)/g1^2 + 2*g1^9*t^7.491*y + (t^7.509*y)/g1^9 + g1^2*t^7.665*y + g1^13*t^7.82*y + (t^7.856*y)/g1^23 + (3*t^8.012*y)/g1^12 + (3*t^8.168*y)/g1 + 2*g1^10*t^8.323*y + (2*t^8.341*y)/g1^8 - (t^8.359*y)/g1^26 + 2*g1^3*t^8.497*y + g1^14*t^8.653*y + 2*g1^7*t^8.826*y + (t^8.844*y)/g1^11

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
5559	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}X_{1}$	0.6398	0.8029	0.7969	[X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.7391, 0.6087, 0.8696], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]]	t^2.217 + t^2.348 + t^2.609 + t^3. + t^3.13 + t^3.261 + t^3.391 + t^3.652 + t^3.913 + t^4.043 + t^4.174 + 2*t^4.435 + t^4.565 + 2*t^4.696 + t^4.826 + t^4.957 + 2*t^5.217 + t^5.348 + 2*t^5.478 + 2*t^5.609 + t^5.739 + 2*t^5.87 - t^4.435/y - t^4.435*y	detail	{a: 7785/12167, c: 39075/48668, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 17/23, M7: 14/23, M8: 20/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23}

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
1619	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6762	0.8432	0.8019	[M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]]	t^2.168 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.983 + t^4.16 + 2*t^4.336 + 2*t^4.488 + t^4.639 + t^4.664 + t^4.815 + 2*t^4.992 + t^5.017 + 2*t^5.168 + t^5.32 + t^5.496 + t^5.647 + t^5.672 + t^5.697 + 3*t^5.824 + t^5.975 - t^6. - t^4.336/y - t^4.336*y	detail