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
55470	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$	0.7297	0.9109	0.8011	[M:[1.0, 1.0, 0.899, 0.899, 1.0505, 0.9495, 0.6767], q:[0.4243, 0.5757], qb:[0.5757, 0.5252], phi:[0.4748]]	[M:[[1, -3], [-1, 3], [-1, -1], [1, -7], [0, 2], [0, -2], [0, 7]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$	${}M_{1}^{2}$, ${ }M_{2}^{2}$	-3	t^2.03 + 2*t^2.697 + 2*t^2.849 + 2*t^3. + t^3.454 + t^4.06 + t^4.273 + 2*t^4.424 + t^4.576 + 4*t^4.727 + 5*t^4.879 + 2*t^5.03 + 3*t^5.394 + t^5.485 + 2*t^5.546 + 6*t^5.697 + 2*t^5.849 - 3*t^6. + t^6.09 + t^6.303 + 2*t^6.454 + t^6.606 + 4*t^6.757 + 6*t^6.909 + 2*t^7.06 + 4*t^7.121 + 4*t^7.273 + 6*t^7.424 + t^7.515 + 8*t^7.576 + 10*t^7.727 + 4*t^7.879 - 6*t^8.03 + 4*t^8.091 + t^8.12 + 2*t^8.243 + 4*t^8.333 + 6*t^8.394 + 2*t^8.485 + 5*t^8.546 + t^8.636 - 4*t^8.697 + 4*t^8.787 - 6*t^8.849 + 6*t^8.939 - t^4.424/y - t^6.454/y - (2*t^7.121)/y - t^7.273/y + t^7.576/y + (4*t^7.727)/y + (2*t^7.879)/y + (2*t^8.03)/y + (2*t^8.394)/y + (4*t^8.546)/y + (5*t^8.697)/y + (4*t^8.849)/y - t^4.424*y - t^6.454*y - 2*t^7.121*y - t^7.273*y + t^7.576*y + 4*t^7.727*y + 2*t^7.879*y + 2*t^8.03*y + 2*t^8.394*y + 4*t^8.546*y + 5*t^8.697*y + 4*t^8.849*y	g2^7*t^2.03 + (g1*t^2.697)/g2^7 + t^2.697/(g1*g2) + (2*t^2.849)/g2^2 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^6*t^3.454 + g2^14*t^4.06 + t^4.273/g2^3 + (g1*t^4.424)/g2^4 + (g2^2*t^4.424)/g1 + g2*t^4.576 + 2*g1*t^4.727 + (2*g2^6*t^4.727)/g1 + (g1^2*t^4.879)/g2 + 3*g2^5*t^4.879 + (g2^11*t^4.879)/g1^2 + g1*g2^4*t^5.03 + (g2^10*t^5.03)/g1 + (g1^2*t^5.394)/g2^14 + t^5.394/g2^8 + t^5.394/(g1^2*g2^2) + g2^13*t^5.485 + (g1*t^5.546)/g2^9 + t^5.546/(g1*g2^3) + (g1^2*t^5.697)/g2^10 + (4*t^5.697)/g2^4 + (g2^2*t^5.697)/g1^2 + (g1*t^5.849)/g2^5 + (g2*t^5.849)/g1 - 3*t^6. + g2^21*t^6.09 + g2^4*t^6.303 + g1*g2^3*t^6.454 + (g2^9*t^6.454)/g1 + g2^8*t^6.606 + 2*g1*g2^7*t^6.757 + (2*g2^13*t^6.757)/g1 + g1^2*g2^6*t^6.909 + 4*g2^12*t^6.909 + (g2^18*t^6.909)/g1^2 + g1*g2^11*t^7.06 + (g2^17*t^7.06)/g1 + (g1^2*t^7.121)/g2^11 + (2*t^7.121)/g2^5 + (g2*t^7.121)/g1^2 + (2*t^7.273)/g1 + (2*g1*t^7.273)/g2^6 + (2*g1^2*t^7.424)/g2^7 + (2*t^7.424)/g2 + (2*g2^5*t^7.424)/g1^2 + g2^20*t^7.515 + (g1^3*t^7.576)/g2^8 + (3*g1*t^7.576)/g2^2 + (3*g2^4*t^7.576)/g1 + (g2^10*t^7.576)/g1^3 + (3*g1^2*t^7.727)/g2^3 + 4*g2^3*t^7.727 + (3*g2^9*t^7.727)/g1^2 + (g1^3*t^7.879)/g2^4 + g1*g2^2*t^7.879 + (g2^8*t^7.879)/g1 + (g2^14*t^7.879)/g1^3 - g1^2*g2*t^8.03 - 4*g2^7*t^8.03 - (g2^13*t^8.03)/g1^2 + (g1^3*t^8.091)/g2^21 + (g1*t^8.091)/g2^15 + t^8.091/(g1*g2^9) + t^8.091/(g1^3*g2^3) + g2^28*t^8.12 + (g1^2*t^8.243)/g2^16 + t^8.243/(g1^2*g2^4) + g1^2*g2^5*t^8.333 + 2*g2^11*t^8.333 + (g2^17*t^8.333)/g1^2 + (g1^3*t^8.394)/g2^17 + (2*g1*t^8.394)/g2^11 + (2*t^8.394)/(g1*g2^5) + (g2*t^8.394)/g1^3 + g1*g2^10*t^8.485 + (g2^16*t^8.485)/g1 + t^8.546/g1^2 + (g1^2*t^8.546)/g2^12 + (3*t^8.546)/g2^6 + g2^15*t^8.636 - (2*g1*t^8.697)/g2^7 - (2*t^8.697)/(g1*g2) + 2*g1*g2^14*t^8.787 + (2*g2^20*t^8.787)/g1 - (6*t^8.849)/g2^2 + g1^2*g2^13*t^8.939 + 4*g2^19*t^8.939 + (g2^25*t^8.939)/g1^2 - t^4.424/(g2*y) - (g2^6*t^6.454)/y - (g1*t^7.121)/(g2^8*y) - t^7.121/(g1*g2^2*y) - t^7.273/(g2^3*y) + (g2*t^7.576)/y + (2*g1*t^7.727)/y + (2*g2^6*t^7.727)/(g1*y) + (2*g2^5*t^7.879)/y + (g1*g2^4*t^8.03)/y + (g2^10*t^8.03)/(g1*y) + (2*t^8.394)/(g2^8*y) + (2*g1*t^8.546)/(g2^9*y) + (2*t^8.546)/(g1*g2^3*y) + (g1^2*t^8.697)/(g2^10*y) + (3*t^8.697)/(g2^4*y) + (g2^2*t^8.697)/(g1^2*y) + (2*g1*t^8.849)/(g2^5*y) + (2*g2*t^8.849)/(g1*y) - (t^4.424*y)/g2 - g2^6*t^6.454*y - (g1*t^7.121*y)/g2^8 - (t^7.121*y)/(g1*g2^2) - (t^7.273*y)/g2^3 + g2*t^7.576*y + 2*g1*t^7.727*y + (2*g2^6*t^7.727*y)/g1 + 2*g2^5*t^7.879*y + g1*g2^4*t^8.03*y + (g2^10*t^8.03*y)/g1 + (2*t^8.394*y)/g2^8 + (2*g1*t^8.546*y)/g2^9 + (2*t^8.546*y)/(g1*g2^3) + (g1^2*t^8.697*y)/g2^10 + (3*t^8.697*y)/g2^4 + (g2^2*t^8.697*y)/g1^2 + (2*g1*t^8.849*y)/g2^5 + (2*g2*t^8.849*y)/g1

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
57043	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$	0.6768	0.8502	0.796	[M:[1.1059, 0.8941, 0.6689, 0.8807, 1.1126, 0.8874, 0.8941], q:[0.3311, 0.563], qb:[0.7748, 0.5563], phi:[0.4437]]	t^2.007 + t^2.642 + 2*t^2.662 + 2*t^2.682 + t^3.318 + t^3.993 + 3*t^4.013 + 2*t^4.649 + 2*t^4.669 + 3*t^4.689 + t^4.709 + t^5.284 + t^5.304 + 6*t^5.324 + 4*t^5.345 + 2*t^5.365 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.331/y - t^4.331*y	detail
57045	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.7229	0.9008	0.8025	[M:[1.0, 1.0, 0.8462, 0.8462, 1.0769, 0.9231, 0.7692], q:[0.3846, 0.6154], qb:[0.6154, 0.5385], phi:[0.4615]]	t^2.308 + 2*t^2.538 + 2*t^2.769 + 2*t^3. + t^3.692 + t^4.154 + 2*t^4.385 + 2*t^4.615 + 4*t^4.846 + 8*t^5.077 + 4*t^5.308 + 6*t^5.538 + 2*t^5.769 - 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 25413/35152, c: 15833/17576, M1: 1, M2: 1, M3: 11/13, M4: 11/13, M5: 14/13, M6: 12/13, M7: 10/13, q1: 5/13, q2: 8/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}
57035	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}^{2}$	0.6522	0.8218	0.7936	[M:[1.0, 1.0, 0.7143, 0.7143, 1.1429, 0.8571, 1.0], q:[0.2857, 0.7143], qb:[0.7143, 0.5714], phi:[0.4286]]	2*t^2.143 + 2*t^2.571 + 3*t^3. + t^3.857 + 6*t^4.286 + 3*t^4.714 + 10*t^5.143 + 7*t^5.571 - t^4.286/y - t^4.286*y	detail	{a: 3579/5488, c: 2255/2744, M1: 1, M2: 1, M3: 5/7, M4: 5/7, M5: 8/7, M6: 6/7, M7: 1, q1: 2/7, q2: 5/7, qb1: 5/7, qb2: 4/7, phi1: 3/7}

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
47125	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$	0.7089	0.8701	0.8148	[M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]]	2*t^2.688 + 2*t^2.844 + 2*t^3. + t^3.468 + t^3.954 + t^4.266 + 2*t^4.422 + t^4.578 + 2*t^4.734 + 3*t^4.89 + 3*t^5.377 + 2*t^5.532 + 6*t^5.688 + 2*t^5.844 - 3*t^6. - t^4.422/y - t^4.422*y	detail